subtracting integers problem solving

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Subtracting integers word problems

Here are four great examples about subtracting integers word problems.

Problem #1:

The record high temperature for Massachusetts is 104 degrees Fahrenheit. The record low is -18 degrees Fahrenheit. What is the difference between high and low? Solution The problem has 1 important component. It is the phrase " difference between high and low ." Difference between high and low is the same as subtracting the smaller number from the bigger number.

104 - -18 = 104 + 18 = 122

The difference between high and low is 122 degrees Fahrenheit.

More subtracting integers word problems 

Problem #2:

Sylvia checked the balance in her bank account early in the morning and saw that she had 98 dollars. In the afternoon, she noticed that there was an overdraft of 6 dollars in the account for unpaid bills. How much were the unpaid bills? Solution The problem has 1 important component. It is the word " Overdraft ." Overdraft occurs when the bank gives you money to cover amount you did not have at the time the bills were paid. In this case, what you did not have is 6 dollars. Since the bank gave it to you, you owe it to the bank. Therefore, you owe 6 dollars to the bank and this can be expressed as -6.

The amount of unpaid bills is the difference between what you had that morning (98) and what you have this afternoon (-6). 98 - -6 = 98 + 6 = 104 dollars

The amount of unpaid bills is 104 dollars

Problem #3:

You are 5 dollars in debt. You borrow 12 dollars more. What is the total amount of your debt? Solution The problem has 2 important components shown in bold below. You are 5 dollars in debt . You borrow 12 dollars more . What is the total amount of your debt? 5 dollars in debt can be represented by -5 Borrow 12 more can be represented by - 12 We get -5 - 12 = -5 + -12 = -17 The amount of your debt is 17 dollars.

Problem #4:

An airplane takes off and then climbs 2500 feet. After 20 minutes, the airplane descends 150 feet.  What is the airplane's current height? Solution The problem has 2 important components shown in bold below. An airplane takes off and then climbs 2500 feet . After 20 minutes, the airplane descends 150 feet .  What is the airplane's current height? Climbs 2500 feet can be represented with +2500 Descends 150 feet can be represented with - 150 We get +2500 - 150 = +2500 + -150 = 2350

The airplane is now at a height of 2350 feet.

Take a look also at the problem below

Adding integers word problems

Applied math

Calculators.

100 Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius!

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Subtracting Integers

Learn about subtracting integers with the following integer examples and interactive exercises.

Solution: We can solve this problem using  integers . Using the number line below, the distance from  + 8 to 0 is 8, and the distance from 0 to  – 5 is 5, for a total of 13.

+ 8 –  – 5 =   + 13. The difference is 13 degrees.

Solution: When solving problems with large integers, it is not always practical to rely on the number line. Using integer arithmetic this problem becomes:

+ 20,320 –  – 282 = ?

We need a rule for subtracting integers in order to solve this problem.

Rule: To subtract an integer, add its  opposite .

The opposite of  – 282 is  + 282, so we get:  + 20,320 –  – 282 =  + 20,320 +  + 282 =  + 20,602

In the above problem, we added the opposite of the second integer and subtraction was transformed into addition. Let’s look at some simpler examples of subtracting integers.

Example 1:  + 5 –  + 2

Step 1: The opposite of  + 2 is  – 2.

Step 2: Subtraction becomes addition.

Solution:  + 5 –  + 2 =  + 5 +  – 2 =  + 3

Example 2: Find the difference between each pair of integers.

Notice that in each problem above, the first integer remained unchanged. Also, do not confuse the sign of the integer with the operation being performed. Remember that: – 9 +  + 4 =  – 5   is read as  Negative 9 plus positive 4 equals negative 5 .

Let’s look at some more examples:

Example 3: Find the difference between each pair of integers.

Example 4: Find the difference between each pair of integers. You may extend the number line below to help you salve these problems.

Summary: To subtract an integer, add its opposite. When subtracting integers, it is important to show all work, as we did in this lesson. If you skip steps, or do the work in your head, you are very likely to make a mistake–even if you are a top math student!

Directions: Read each question below. Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

Subtracting Integers

Subtracting integers is the process of finding the difference between two integers. It may result in an increase or a decrease in value, depending on whether the integers are positive or negative or a mix. The subtraction of integers is an arithmetic operation performed on integers with the same sign or with different signs to find the difference. Let us learn more about subtracting integers in this article.

Subtracting Integers Rules

There are certain rules to be followed to subtract two integers. Integers are complete numbers that do not have fractional parts. It includes positive integers, zero, and negative integers. The rules for subtracting integers are given below:

• If we subtract 0 from any integer, the answer will be the integer itself.
• If we subtract any integer from 0, we will find the additive inverse or the opposite of the integer.
• Subtraction of integers is done by changing the sign of the subtrahend. After this step, if both numbers are of the same sign, then we add the absolute values and attach the common sign. If both the numbers are of different signs, then we find the difference of the absolute numbers and place the sign of the bigger number in the result.

The table given below shows the subtracting integer rules with examples.

Subtracting Integers with the Same Sign

When we subtract two integers with the same sign, we subtract their absolute values and place the common sign in the result. The absolute value of a number is the positive value of the given number. For an instance, the absolute value of 6 is 6, the absolute value of -6 is 6, etc. For subtraction of integers, we change the sign of the subtrahend. For example, -2 -(-5), can be written as -2 + 5. Now, the absolute value of 5 is 5, and of -2 is 2. By subtracting 2 from 5, we get 3. Since 5 > 2, the sign of the answer will be the same as the sign of 5, which is positive. Therefore, -2 -(-5) = 3.

Here, it is important to note that every subtraction fact can be written as an addition fact. For example, 4 - 7 is the same as 4 + (-7).

Some examples of subtracting integers with the same sign are given below:

• (-1) - (-6) = -1 + 6 = 5
• 24 - 17 = 7

Subtracting Integers with Different Signs

Subtracting two integers with different signs is done by changing the sign of the integer that is subtracted. Then, we need to check if both the integers become positive, the result will be positive and if both the integers are negative, then the result will be negative. For example, if we want to subtract -9 from 5, that is 5 - (-9), we will change the sign of 9 and then add the integers, which means it will be 5 + 9 = 14. Therefore, 5 - (-9) = 14.

This can also be understood with another method in which we add the absolute values, and then attach the sign of the minuend with the result. For example, if we want to subtract -9 from 5, first we find the absolute values of both. The absolute value of -9 is 9, and of 5 is 5. Now, find the sum of these absolute values which is 9 + 5 = 14. As 5 is the minuend here with a positive sign, so the answer sign will be positive. Therefore, 5 - (-9) = 14.

Subtracting Integers on a Number Line

The subtraction of integers on a number line is based on the given principles:

• Every subtraction fact can be written as an addition fact.
• Adding a positive number will be done by moving towards the right side (or the positive side) of the number line.
• Adding a negative integer will be done by moving towards the left side (or the negative side) of the number line.
• Any one of the given integers can be taken as the base point from where we start moving on the number line.

Now, let us learn how to subtract integers on a number line. The first step is to choose a scale on the number line. For example, if we want to plot numbers in multiples of 1, 5, 10, 50, etc., depending on the given integers. For example, in subtracting 10 from -30 we can take a scale of 10 on the number line to ease our work. However, if we have to subtract -2 from 7, we can take a scale of counting numbers starting from 1. Then, we need to express the given subtraction expression into an addition fact by changing the sign of the subtrahend.

The next step is to locate any one of the integers on the number line, preferably a number with a greater absolute value. For example, if you need to subtract 4 from 29, it is better if we locate 29 on the line first and then take 4 jumps towards the left, rather than locating -4 and then taking 29 jumps.

The third and final step is to add the second integer to the number located in the previous step by taking jumps either to the left or to the right depending on whether the number is positive or negative.

Let us take an example to understand this better.

Example: Subtract -4 from -7

Solution: For subtracting integers on a number line let us follow the steps given below:

• Step 1: The expression can be written as -7 - (-4). Draw a number line with a scale of 1.
• Step 2: Express -7 - (-4) as an addition expression by changing the sign of the subtrahend from negative to positive. We get -7 + 4.
• Step 3: Start from -7, take 4 jumps to the right side as we are adding 4 to -7.

Therefore, -3 is the required answer.

☛ Related Articles

• Subtracting Integers Calculator
• Addition and Subtraction of Integers
• Multiplication and Division of Integers

Subtracting Integers Examples

Example 1: Subtract the given integers by using the rules for subtracting integers.

Subtract -56 from -90

Solution: This question is based on subtracting two integers with the same sign. Here, if we write it in the form of an expression, we get -90 - (-56). This can be written as -90 + 56. Let us find the difference between the absolute values. So, 90 - 56 is 34. Since 90 > 56, the answer sign will be the same as the sign of 90 which is negative. Therefore, -90 - (-56) = -34.

Example 2: By using subtracting integers rules, find out which number should be added to 43 to get -20 as the answer?

Solution: Let x be the number that should be added to 43 to get -20. So, we can form an equation in terms of x.

x + 43 = -20

To find the missing value, we need to solve the equation.

x = -20 -43

Therefore, -63 has to be added to 43 to get -20.

Example 3: Subtract -7 from -12 using the rules of subtracting integers.

Solution: This question is based on subtracting integers with the same sign. Here, we have to subtract two integers with the same sign, -12 and -7.

-12 - (-7) = -12 + 7

Therefore, the difference between -12 and -7 is -5.

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Practice Questions on Subtracting Integers

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FAQs on Subtracting Integers

How to subtract integers.

Subtracting integers involves certain rules that need to be followed. The basic rules for subtracting integers are given below:

What is the Rule for Subtracting Negative Integers?

If both integers are negative, then to subtract them, we will first write it as an addition fact. Then, we find the difference between their absolute values and attach the sign of the number with the greater absolute value with the result. For example, let us subtract -45 from -23. It can be written as -23 - (-45). We can re-write it as -23 + 45. Now, the difference between the absolute values is 45 - 23 = 22. Since 45 >23, the answer sign will be the same as the sign of 45 which is positive. Therefore, -23 - (-45) = 22.

What is a General Rule for Subtracting Integers?

The general rule for subtracting integers is given as follows:

Subtraction of integers is done by changing the sign of the subtrahend. After this step, if both numbers are of the same sign, then we add the absolute values and attach the common sign. For example, 1 - (-9) can be written as 1 + 9 after changing the sign of the subtrahend, which gives the result as 1 + 9 = 10. In another example, if after changing the sign of the subtrahend we get both the numbers with different signs, then we find the difference of the absolute values and write the sign of the bigger number. For example, in -4 - (-8), Here, we get -4 + 8, so after finding the difference of the absolute values we get 4 and the sign of the bigger number is positive, so we will write the answer as 4.

What is the Rule for Subtracting Integers with Different Signs?

For subtracting integers with different signs, we follow the steps given below. Let us subtract -5 from 6. This means 6 - (-5)

• Step 1: First, we will change the sign of the subtrahend which is -5. This makes it 5.
• Step 2: Find the sum of the new integers, that is 6 + 5 = 11.
• Step 3: The result is 11.

What is the Rule for Subtracting Integers with the Same Sign?

To subtract integers with the same sign, we first change the sign of the subtrahend. Then, find the difference between the absolute values of both the integers. Attach the sign of the number with the greater absolute value with the answer. For example, (-9) - (-3) = -9 + 3 = -6.

How is Subtracting Integers Related to Adding Integers?

Addition and subtraction are inverse operations. It means every addition expression can be expressed in subtraction and vice-versa. Subtracting integers is related to adding integers because both can be expressed in each other's form. For example, we can write 12 + (-9) as 12 - 9. Similarly, we can write - 23 - 5 as -23 + (-5).

What is the first Step in Subtracting Integers?

The first step in subtracting integers is to change the sign of the subtrahend. After this, the procedure of subtraction can be followed. For example, if we need to subtract 8 from 13, we can write it as, 13 - (+8). Now, we can change the sign of the subtrahend which is 8 and it becomes 13 - 8. Now, we can the difference of 13 and 8 which is 5 and the sign of the result will be the sign of the bigger number. In this case it is positive so 13 - 8 = 5

What is an Example of Subtracting Integers?

Some examples of the subtraction of integers are listed below:

• (-39) - (-14) = -25
• -16 - 4 = -20
• 2 - (-88) = 90

Integer Subtraction

Subtracting integers.

If you know how to add integers , I’m sure that you can also subtract integers. The key step is to transform an integer subtraction problem into an integer addition problem. The process is very simple. Here’s how:

Steps on How to Subtract Integers

Step 1 : Transform the subtraction of integers problem into addition of integers problem. Here’s how:

• First, keep the first number (known as the minuend).
• Second, change the operation from subtraction to addition.
• Third, get the opposite sign of the second number (known as the subtrahend)
• Finally, proceed with the regular addition of integers.

Step 2 : Proceed with the regular addition of the integers.

Note that you will eventually add integers. So for your convenience, here’s a quick summary of the rules on how to add integers.

• Case 1 :  Adding two integers having the same sign

Add their absolute values then keep the common sign.

• Case 2 :  Adding two integers with different signs

Subtract their absolute values (larger absolute value minus smaller absolute value) then take the sign of the number with the larger absolute value.

Examples of Integer Subtractions

Example 1 : Subtract the integers below.

We will need to transform the problem from subtraction to addition. To do that, we keep the first number which is –13, change the operation from subtraction to addition, then switch the sign of +  4 to – 4.

The final step is to proceed with regular addition. Add their absolute values. Then we determine the sign of the final answer. Since we are adding integers with the same sign, we will keep the common sign which in this case is negative.

Example 2 : Subtract the integers below.

Just like before, convert a subtraction problem to an addition problem. Positive 9 remains, switch the operation from “minus” to “plus” then get the opposite sign of the subtrahend (second number) from negative to positive.

Now, let’s add them. We are adding two positive integers so we expect the answer to be positive as well because the common sign is positive.

Example 3 : Find the difference of the two integers.

I hope you are already getting the hang of it. Let’s make this an addition of integers problem first then proceed with regular addition of integers with different signs.

So we subtract their absolute values first then get the sign of the number with larger absolute value.

Subtracting the absolute values, we have 24 minus 19 which gives us +5. But the final answer is –  5 because the sign comes from – 24.

Take a quiz:

• Subtracting Integers Quiz

You might also like these tutorials:

• Subtracting Integers Practice Problems with Answers
• Adding Integers
• Multiplying Integers
• Dividing Integers

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A and S Integers

Adding and subtracting integers

Here you will learn strategies on how to add and subtract integers, including using visual models as well as the number line.

Students will first learn about integers in 6th grade math as part of their work with the number system and expand that knowledge to operations with integers in the 7th grade.

Every week, we teach lessons on adding and subtracting integers to students in schools and districts across the US as part of our online one-on-one math tutoring programs. On this page we’ve broken down everything we’ve learnt about teaching this topic effectively.

What are adding and subtracting integers?

Adding and subtracting integers is when you add or subtract two or more positive or negative numbers together.

You can add and subtract integers using visual models or a number line.

Adding Integers \hspace{2cm}

Subtracting Integers \hspace{2cm}

[FREE] Addition and Subtraction Worksheet (Grade 2 to 7)

Use this quiz to check your grade 2, 3, 4 and 7 students’ understanding of addition and subtraction. 15+ questions with answers covering a range of 2nd, 3rd, 4th and 7th grade addition and subtraction topics to identify areas of strength and support!

Common Core State Standards

How does this apply to 6th grade math and 7th grade math?

• Grade 6: Number System (6.NS.C.6) Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
• Grade 7: Number System (7.NS.A.1) Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

How to add and subtract integers?

In order to add and subtract integers using counters:

• Represent the problem with counters identifying zero pairs with addition or adding zero pairs when necessary for subtraction.

The answer is the leftover counters.

In order to add and subtract integers using a number line:

To add, start at the first number and move to the second number; to subtract, start from the second number and move to the first number.

Write your answer.

Adding and subtracting integers examples

Example 1: adding integers with different signs using counters.

Add: -2 + 7 = \, ?

Represent the problem with counters, identifying zero pairs with addition or adding zero pairs when necessary for subtraction.

There are two zero pairs with 5 positive counters left.

2 The answer is the leftover counters.

Answer: -2 + 7 = 5

Example 2: subtracting integers with counters

Subtract: -4-(-5) = \, ?

-4 remove -5. Add 1 zero pair in order to remove -5.

-4-(-5) = 1

Example 3: adding integers with a number line

Add: -8 + (-5) = \, ?

-8 + (-5) is addition. Start at -8 and move in the negative direction (left) 5 places. You land at -13.

-8 + (-5) = -13

Example 4: subtracting integers with a number line

Solve: 7-(+9) = \, ?

From positive 9 move in the negative direction until you get to 7. You move 2 places to the left, which is -2.

7-(+9) = -2

Teaching tips for adding and subtracting integers

• Adding and subtracting integers is a foundational skill for Algebra 1. Using counters and/or a number line helps students formulate conceptual understanding of the concept.
• Using actual hand-held counters help students to manipulate the zero pairs instead of using digital counters.
• Have students try and identify the patterns with adding and subtracting integers so that they can figure out the rules on their own.
• Although practice integer worksheets have their place, have students practice problems through digital games or scavenger hunts around the room to make it engaging.

Easy mistakes to make

Related addition and subtraction lessons

This adding and subtracting integers topic guide is part of our series on adding and subtracting. You may find it helpful to start with the main adding and subtracting topic guide for a summary of what to expect or use the step-by-step guides below for further detail on individual topics. Other topic guides in this series include:

• Addition and subtraction
• Standard algorithm addition
• Adding and subtracting negative numbers
• Adding and subtracting rational numbers
• Add and subtract within 100

Practice adding and subtracting integers

1. Look at the model below to add -7 + 6.

There are 6 zero pairs with one negative counter leftover.

-7 + 6 = -1

2. Subtract: -15-(9) = \, ?

Using the rule, change the sign of the second number, +9 becomes -9.

Then add the two numbers together.

-15 + (-9) = -24

From 9 move left 24 units, you get to -15.

So, -15-(9) = -24

3. Add: 8 + (-19) = \, ?

Using the rule, since the signs of the numbers are different, the difference between 8 and 19 is 11.

19 is the larger number, and it is negative, so the sum will be negative.

8 + (-19) = -11

You can also check your answer using a number line.

Start at 8 and move 19 places in the negative direction. You land at -11.

4. Subtract: -14-(-8) = \, ?

Using the rule for subtracting integers, change the sign of the second number.

-8 will become +8.

Then add the number to the first one, -14 + 8 = -6

You can also use a number line to check your answer.

From -8 move left 6 places until you get to -14.

So, -14-(-8) = -6

5. Add: -13 + (-12) = \, ?

Using the rule, the signs of the numbers are both negative, so add the numbers.

The sum is negative too.

-12 + (-13) = -25

6. On a February day in Chicago, the morning temperature was -3 degrees Fahrenheit. Later that day, the temperature increased by 4 degrees. What is the new temperature in degrees?

-3 increased by 4 degrees is -3 + 4.

The signs of the numbers are different.

The difference between 3 and 4 is 1.

4 is the larger number, so the sum is positive.

Adding and subtracting integers FAQs

Yes, using the number line when adding and subtracting integers will always work. However, it might not always be the fastest way to get the answer.

A zero pair is a number and its opposite. For example, 5 and -5 are a zero pair. The opposite of positive integers is negative integers.

The sum of zero pairs is an additive inverse because the sum is 0.

Addition of integers and subtraction of integers help when simplifying algebraic expressions and also when factoring algebraic expressions.

The positive sign does not necessarily need to be written in front of a number. For example, +5 is the same as 5. The positive sign is understood.

The next lessons are

• Multiplication and division
• Multiplying and dividing integers
• Types of numbers
• Rounding numbers
• Solving one step equations
• Order of operations

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How to Add and Subtract Integers: Word Problems

Mastering the art of tackling word problems involving the addition and subtraction of integers is a vital skill in the mathematical universe. Integers, which include positive, negative, and zero, are more nuanced than their natural number counterparts. To craft a highly detailed, comprehensive, and sophisticated guide, let's dive into the labyrinth of integers, unraveling the mystery of word problems step-by-step.

A Step-by-step Guide to Solve Integers Addition and Subtraction: Word Problems

Here is a step-by-step guide to solving word problems of integers addition and subtraction:

Step 1: Decipher the Problem

The journey begins with an intensive reading of the word problem. Identify the integers involved, noting their signs (\(+\) or \(-\)), and the operations stated or implied (addition or subtraction). Understand the context and constraints of the problem to guide your strategy.

Step 2: Pinpoint the Unknowns

Next, determine what the problem demands you to find. This could be an unknown quantity or a relationship between different quantities. Assign variables to these unknowns, typically ‘\(x\)’, ‘\(y\)’, or ‘\(z\)’.

Step 3: Translate into Mathematical Language

Now, morph the word problem into an equivalent mathematical expression or equation. Expressions such as “increased by” or “more than” often signify addition, while “decreased by” or “less than” hint towards subtraction. This translation serves as a bridge between the narrative of the problem and the mathematical steps to solve it.

Step 4: Construct the Equation(s)

Based on your translation, construct an equation or a system of equations that encapsulate the conditions outlined in the problem. Be vigilant of the signs of the integers; a positive integer added to a negative integer can be treated as subtraction and vice versa.

Step 5: Resolve the Equation(s)

Once your equation(s) are set, deploy your arithmetic and algebraic skills to solve them. Remember the basic rules of integer arithmetic, such as the fact that subtracting a negative integer is equivalent to adding a positive one.

Step 6: Validate Your Solution

Substitute your solution back into the original equation(s) to verify its correctness. If it stands the test, your solution is accurate. If it fails, reexamine your steps to identify potential missteps or miscalculations.

Step 7: Answer the Query

The final act is responding to the original question asked in the problem. Ensure your answer aligns with the question and is phrased appropriately, incorporating units if necessary.

by: Effortless Math Team about 1 year ago (category: Articles )

Effortless Math Team

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Subtracting integers

One of the first things in math that we learn is counting. We count fingers, toys, apples, and oranges. What if you have $$5$$ apples, but then you eat $$1$$ of them? How will you determine how many apples you have left? You’re actually subtracting $$1$$ from the number of apples you already have. Then we learn how to subtract more than one at a time – this is called subtracting whole numbers: $$5-1=4$$.

But what if the minuend (the amount you’re subtracting from) is less than the subtrahend (the amount you’re subtracting)? This is where we put whole numbers aside, and where integers come into the picture!

What does it mean to subtract integers?

Subtracting integers means performing subtraction over a set of integer numbers. An integer is any number from a set of whole numbers and their additive inverses – the numbers with the same absolute value but an opposite sign:

‘’Wait… what is the absolute value of a number?!’’

Good question! The absolute value of a number is that same number, but without the sign in front of it. Why? Because the absolute value actually shows what the distance is from that number to $$0$$ on the number line. For example, the absolute value of $$|-4|=4$$. That’s the distance from $$-4$$ to $$0$$ on the number line; $$4$$ units:

The minuend tells us where to start on the number line. The sign on the subtrahend will tell us which way to move on the number line. The absolute value of the second summand is just the number without its sign.

Why is subtracting integers so useful?

Besides the fact that subtracting integers is one of the first basic things we learn in math, think of it this way: there are many real-life problems it can solve! For example, a mountain’s highest point is $$161$$ meters, and the deepest point in the sea beneath it is $$80$$ meters. What is the height difference between those two points?

This problem can be solved by subtracting integers. When we need to find the height difference, we need to subtract the numbers. In this case, this means we need to subtract the deepest point from the highest point and since the deepest point is $$80$$ meters below the sea surface, we can represent it with an integer $$-80$$.

Now, it all comes down to a simple math problem of subtracting integers:

How to subtract integers

Now that we know what are integers and why they’re useful, it’s time to see it in action! Let’s walk through a problem together.

Subtract the integers:

Determine the absolute value of each number:

$$|3|=3, |-5|=5$$

Notice that the negative number $$-5$$ has a greater absolute value since $$5$$ is greater than $$3$$. Hence, keep the negative sign of $$-5$$, and subtract the lesser absolute value $$3$$ from the greater one, $$5$$.

$$-(5-{3})$$

Subtract the numbers inside the parentheses:

Remember, to factor out a term from an expression means to extract that term from all the terms in the expression. So, factor out the negative sign:

$${-}({5+8})$$

Add the numbers $$5$$ and $$8$$:

That wasn’t so bad, right? Now that we’ve walked through detailed examples, let’s review the overall process so you can learn how to use it with any problem:

Study summary - when one number is negative

• Keep the sign of the number with the larger absolute value  and subtract the smaller absolute value from the larger.
• Subtract the numbers.

Study summary - when both numbers are negative

• Factor out the negative sign from the expression.
• Add the numbers.

Do it yourself!

Practicing math concepts like this one is a great way to prepare yourself for the math journey to come! So, when you’re ready, we’ve got some practice problems for you!

If you’re still struggling with the solving process, that’s totally okay! Stumbling a few times is good for the learning process. If you get stuck or lost, scan the problem using your Photomath app and we’ll walk you through it!

Here’s a sneak peek of what you’ll see:

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Subtracting Integers – Definition, Rules, Steps, Examples, Facts

What is meant by subtracting integers in math, rules for subtracting integers, properties of subtraction of integers, solved examples on subtracting integers, practice problems on subtracting integers, frequently asked questions on subtracting integers.

Subtracting integers is the method of finding the difference between two integers. These two integers may have the same sign or different signs. The set of integers is represented by

Z={…,-3,-2,-1,0,1,2,3,…} .

If we subtract the integer b from the integer a, we write it as a – b. 

Example: Subtract 7 from 9.

9 – 7 = 2

We can also write every subtraction problem as an addition problem. Replace the – sign by + sign, and replace the second integer by its additive inverse . This can be written symbolically as 

a – b = a + (-b)

Finally, you can find the answer using the rules for adding integers.

Additive inverse of an integer is written by simply removing its sign, keeping only the numerical value.

Examples: 

Additive inverse of 7 is -7.

Additive inverse of -9 is 9.

Recommended Games

Subtracting Integers: Definition

Subtracting integers is the method of finding the difference between two integers having the same or different signs. 

Subtraction of integers can be written as the addition of the first number and the additive inverse of the second number. 

Recommended Worksheets

More Worksheets

Subtrahend and Minuend

When we subtract one number from another, the number being subtracted is called subtrahend , the first number is called minuend .

Rules for Adding Integers

Any addition fact can be written as a subtraction fact. Also, any subtraction fact can be written as an addition fact. So, the rules for adding integers and the rules for subtracting integers correspond to each other. 

Table of Rules for Subtracting Integers

How to Subtract Integers

The most simple rule to remember when subtracting integers is to convert the problem as the addition problem and use the rules for adding integers. 

• Subtracting Integers with the Same Sign: Let’s understand how to subtract integers with the same signs.

i) Positive integer – Positive integer

Here, the order of the numbers is important to decide the sign of the answer. 

The answer of the result will be  positive when subtracting a smaller number from a larger number.

30 – 13 = 17

The answer of the result will be negative when subtracting a larger number from a smaller  number.

4 – 7 = -3

ii) Negative integer – Negative integer

Change the problem to an addition problem and follow the rules for addition of integers.

(-5)-(-1) = (-5)+1 =-4

(-2) – (-5) = -2 + 5 = 3

• Subtracting Integers with Different Signs: Now, let’s understand how to subtract integers with different signs with examples.

i) Positive Integer – Negative integer

It is clear that we are subtracting a smaller value from a larger value. So, the answer will always be positive in this case. 

5-(-1) = 5 + 1 = 6

2 – (-5) = 2 + 5 = 3

ii) Negative Integer – Positive Integer

It is clear that we are subtracting a larger value from a smaller value. So, the answer will always be negative in this case. 

(-1)-5 = (-1) + (-5) = -6

(-2) – (5) = (-2) + (-5) = -7

There are some properties related to the subtraction of integers. They are as follows: 

• Closure property: The subtraction of any two integers is an integer. For any two integers a and b, the difference a -b is also an integer.
• Commutative property: Subtraction of integers is not commutative. For any two integers a and b, we have a – b b – a. 

2 – 4 4 – 2  and -6 – (-3 ) -3 – (- 6)

• Associative property: The subtraction of integers is not associative. That is, for any three integers a, b and c, we have, a -(b – c) (a – b) – c

For example, 2 – ( 5 – 3) = 2 – 2 = 0

                    (2 – 5) – 3 = – 3 – 3 = – 6 , 

• Identity property: We have  a – 0 = a , for any integer a indicating that 0 is correct identity for subtraction.vIt’s important to note that 0 – a a is not the left identity

Subtracting Integers on a Number Line

• Every subtraction fact can be written as an addition fact.
• Adding a positive integer is done by moving towards the right side (or the positive side) of the number line .
• Adding a negative integer is done by moving towards the left side (or the negative side) of the number line.
• Any one of the given integers can be taken as the base point from where we start moving on the number line.

Example: Subtract 4 from 2.

We have to find 2 – 4. 

Express 2 – 4 as the addition fact.

 2 – 4 = 2 + (-4).

Locate integer with greater absolute value, 2.

Start from 2, take 4 jumps to the left side as we are subtracting 4 to 2.

Therefore, -2 is the required answer.

Facts about Subtracting Integers

• Integers are the negative numbers, zero, and positive numbers.
• Subtracting integers is the method of finding the difference between two integers with the same or different signs.
• To subtract two integers, add the opposite of the second integer to the first integer. This can be written symbolically as a 
• – b = a + (- b)
• Adding a negative number is just like subtracting a positive number. 3 + (- 4) = 3 -(+4)
• Subtracting a negative number is just like adding a positive number.
• 3 -(- 4) = 3 + 4

In this article, we learnt about subtraction of integers definition, rules, properties,steps and how to subtract integers on a number line. Let’s solve some examples and practice problems to understand the concept better.

Example 1: Subtract: – 46 from – 80.

Solution:  

We have to subtract two negative integers.

Here, we have to find (-80) – (-46). 

(-80) – (-46)

Example 2: Subtract: – 8 from 7.

Solution: 

Here, we have to subtract two integers with different signs. 

Let’s write it in the form of an expression, 

7 – (- 8 )

Thus, 7 – (- 8 ) = 15

Example 3: Find 1 – ( – 5 ) using a number line.

1 – (- 5 ) = 1 + 5

Start from 1 and take 5 jumps to the right.

Thus, 1 – (- 5 ) = 6

Subtracting Integers - Definition, Rules, Steps, Examples, Facts

Attend this quiz & Test your knowledge.

Subtraction of integers can be written as the ________ of the opposite number.

$1000 - (- 1)=$, when subtracting a positive integer from a negative integer, the answer will have, which subtraction fact does the given number line represent.

What are integers?

Integers include positive integers, negative integers, and zero. It is a number with no decimal or fraction part.

Set of integers = {…,−5,−4,−3,−2,−1, 0, 1, 2, 3, 4, 5,…}

What is a minuend and a subtrahend?

In a subtraction equation, minuend is the number from which another number would be subtracted. A subtrahend is the term that denotes the number being subtracted from another.

Does commutative property hold true for subtraction?

The commutative property does not hold for subtraction. It means for any  two integers a and b, a – b ≠ b – a. For example, 2 – 4 ≠ 4 – 2

2 – 4 = – 2 and 4 – 2 = 2 and  -2 ≠ 2 

Thus, commutative property does not hold true for subtraction.

Does Associative property hold true for subtraction?

The associative property does not hold for subtraction. It means for any three integers a, b, and c, a -(b – c) ≠ (a – b) – c

                     (2 – 5) – 3 = – 3 – 3 = – 6 , 

Thus, associative property does not hold true for subtraction.

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• Subtracting Integers

There is only one rule that you have to remember when subtracting integers! Basically, you are going to change the subtraction problem to an addition problem.

Number 1 Rule for Subtracting Integers

When SUBTRACTING integers remember to ADD the OPPOSITE.

TIP: For subtracting integers only, remember the phrase: "Keep - change - change"

What does that phrase mean?

Keep - Change - Change is a phrase that will help you "add the opposite" by changing the subtraction problem to an addition problem.

• Keep the first number exactly the same.
• Change the subtraction sign to an addition sign.
• Change the sign of the last number to the opposite sign. If the number was positive change it to negative OR if it was negative, change it to positive.

Let's take a look at a few examples to help you better understand this process.

Example 1 - Subtracting Integers Using Keep-Change-Change

Here's an example for the problem: 12 - (-6) = ?

Keep 12 exactly the same. Change the subtraction sign to an addition sign. Change the -6 to a positive 6. Then add and you have your answer!

Notice how we rewrote this subtracting problem as an addition problem, and then utilized our addition rules!

If you rewrite every subtraction problem as an addition problem, then you will only have to remember one set of rules.

Let's take a look at another example using the keep-change-change rule.

Example 2 - Subtracting Integers by Rewriting as Addition

As you can see, if you rewrite you subtracting problems as addition problems, you will be able to easily find the difference using your addition rules.

Using the Keep-Change-Change rule is a great way to remember how to rewrite the subtraction problem as an addition problem.

If you are continuing your study of integer rules, be sure to check out the multiplication and division rules for integers.

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• Math Article
• Addition Subtraction Integers

Addition And Subtraction Of Integers

In addition and subtraction of integers, we will learn how to add and subtract integers with the same sign and different signs. We can also make use of the num ber line to add and subtract signed integers. There are certain rules for integers that have to be followed to perform operations on them.

Adding two positive integers results in positive integers, whereas adding two negative integers will result in the sum with a negative sign. But, the addition of two different signed integers will result in subtraction only and the sign of the result will be the same as the larger number has. See a few examples below:

• 2 + (-2) = 0
• -2 + (-2) = -4
• -2 – (-2) = 0

Addition and subtraction

Addition and subtraction are two primary arithmetic operations in Maths. Besides these two operations, multiplication and division are also two primary operations that we learn in basic Maths. 

The addition represents the values added to the existing value. For example, a basket has two balls, and if we add more than 2 balls to it, there will be four balls in total. Similarly, if there are four balls in a basket and if we take out two balls out of it, then the basket is left with only two balls, which shows subtraction.

Addition and subtraction are not only used for integers but also rational numbers and irrational numbers. Therefore, both the operations are applicable for all real numbers and complex numbers. Also, the addition and subtraction algebraic expressions are done based on the same rules while performing algebraic operations.  

Learn more about addition and subtraction here.

Also, read:

Rules to Add and Subtract

Integers are a special group of numbers that are positive, negative and zero, which are not fractions. Rules for addition and subtraction are the same for all.

Negative Sign and Positive Sign

The integers which we add or subtract could be positive or negative.  Hence, it is necessary to know the rules for positive and negative symbols.

Positive sign/symbol: (+)

Negative sign/symbol: (-)

Addition of Integers

The three main possibilities in the addition of integers are:

• Addition between two positive numbers
• Addition between two negative numbers
• Addition between a positive number and a negative number

Whenever a positive number and a negative number are added, the sign of the greater number will decide the operation and sign of the result. In the above example 10 + (-15) = -5 and (-10) + 15 =5; here, without sign 15 is greater than 10 hence, numbers will be subtracted and the answer will give the sign of the greater number.

We know that the multiplication of a negative sign and a positive sign will result in a negative sign, therefore if we write 10 + (-5), it means the ‘+’ sign here is multiplied by ‘-’ inside the bracket. Therefore, the result becomes 10 – 5 = 5.

Alternatively, to find the sum of a positive and a negative integer, take the absolute value (“ absolute value ” means to remove any negative sign of a number, and make the number positive) of each integer and then subtract these values. Take the above example, 10 + (-15); absolute value of 10 is 10 and -15 is 15.

⇒ 10 – 15 = -5

Thus, we can conclude the above table as follow:

Note: The sum of an integer and its opposite is always zero. (For example, -5 + 5= 0)

Subtraction of Integers

Like in addition, the subtraction of integers also has three possibilities. They are:

• Subtraction between two positive numbers
• Subtraction between two negative numbers
• Subtraction between a positive number and a negative number

For ease of calculation, we need to renovate subtraction problems the addition problems. There are two steps to perform this and are given below.

• Convert the subtraction sign into an addition sign.
• After converting the sign, take the inverse of the number which comes after the sign.

Once the transformation is done, follow the rules of addition given above.

For example, finding the value of (-5) – (7)

Step 1: Change the subtraction sign into an addition sign

⇒ (-5) + (7)

Step 2: Take the inverse of the number which comes after the sign

⇒ – 5 + (-7)                                  (opposite of 7 is -7)

⇒ – 5 + (-7) = -12      [Add and put the sign of greater number]

Properties Of Addition Of Integers

The addition properties for whole numbers are valid for integers.

Closure Property:  The sum of any 2 integers results in an integer.

For instance, 12 + 3 = 15 and 15 is an integer.

In the same way, 17 + (- 20) = – 3 and -3 is an integer.

Commutative property: Even if the order of addition is changed, the total of any 2 integers is the same.

For instance, – 19 + 15 = 15 + (- 19) = – 4

Associative property: The grouping of the integers does not matter when the total of 3 or more integers is computed.

For example, – 13 + (- 15 + 16) = (- 13 + (- 15)) + 16 = – 12

Additive identity: When the sum of zero with any integer is taken, the resultant answer is an integer. The additive identity is the integer zero.

For instance, 0 + 15 = 15

Additive inverse: For each integer, when an integer is added to that integer results in 0. The two converse integers are termed additive inverse of one another.

For instance, 9 + (- 9) = 0.

Properties Of Subtraction Of Integers

Closure property: The difference between any two given integers results in an integer.

For instance, 13 – 17 = – 4 and – 4 is an integer. In the same way, – 5 – 8 = – 13 and – 13 is an integer.

Commutative property: The difference between any two given integers changes when the order is reversed.

For example, 6 – 3 = 3 but 3 – 6 = – 3.

So, 6 – 3 ≠ 3 – 6

Associative property: In the method of subtraction, there is a change in the result if the grouping of 3 or more integers changes.

For example, (80 – 30) – 60 = – 10 however [80 – (30 – 60)] = 110.

So, (80 – 30) – 60 ≠ [80 – (30 – 60)].

Multiplication of Integers

In addition and subtraction, the sign of the resulting integer depends on the sign of the largest value. For example, -7+4 = -3 but in the case of multiplication of integers, two signs are multiplied together. 

• When two positive integers are multiplied then the result is positive.
• When two negative integers are multiplied then also the result is positive.
• But when one positive and one negative integer is multiplied, then the result is negative.
• When there is no symbol, then the integer is positive.

Solved Examples

Example 1: Evaluate the following:

• (-1) – ( -2)
• (-5 )+ 9 = 4  [Subtract and put the sign of greater number]

(-1) – ( -2) = 1

Example 2: Add -10 and -19.

Solution: -10 and -19 are both negative numbers. So if we add them, we get the sum in negative, such as;

(-10)+(-19) = -10-19 = -29

Example 3: Subtract -19 from -10.

Solution: (-10) – (-19)

Here, the two minus symbols will become plus. So,

-10 + 19 = 19 -10 = 9

Example 4: Evaluate 9 – 10 +(-5) + 6

Solution: First open the brackets.

9 – 10 -5 + 6

Add the positive and negative integers separately.

= 9 + 6 – 10 -5

= 15 – 15

Integers Addition and Subtraction Worksheet

Practice Problems

• Add -5 and -10.
• Subtract 20 from 10.
• Find the sum of 12 and 13.
• Find the difference between 40 and 30.

Frequently Asked Questions – FAQs

What is the rule to add integers, what is the rule for the subtraction of integers, are the rules of addition and subtraction the same as rules for the multiplication of integers, give examples of the addition of integers., when two negative integers are added together, then what is the sign of resulted value.

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Integers Worksheets

Welcome to the integers worksheets page at Math-Drills.com where you may have a negative experience, but in the world of integers, that's a good thing! This page includes Integers worksheets for comparing and ordering integers, adding, subtracting, multiplying and dividing integers and order of operations with integers.

If you've ever spent time in Canada in January, you've most likely experienced a negative integer first hand. Banks like you to keep negative balances in your accounts, so they can charge you loads of interest. Deep sea divers spend all sorts of time in negative integer territory. There are many reasons why a knowledge of integers is helpful even if you are not going to pursue an accounting or deep sea diving career. One hugely important reason is that there are many high school mathematics topics that will rely on a strong knowledge of integers and the rules associated with them.

We've included a few hundred integers worksheets on this page to help support your students in their pursuit of knowledge. You may also want to get one of those giant integer number lines to post if you are a teacher, or print off a few of our integer number lines. You can also project them on your whiteboard or make an overhead transparency. For homeschoolers or those with only one or a few students, the paper versions should do. The other thing that we highly recommend are integer chips a.k.a. two-color counters. Read more about them below.

Most Popular Integers Worksheets this Week

Integer Resources

Coordinate graph paper can be very useful when studying integers. Coordinate geometry is a practical application of integers and can give students practice with using integers while learning another related skill. Coordinate graph paper can be found on the Graph Paper page:

Coordinate Graph Paper

Integer number lines can be used for various math activities including operations with integers, counting, comparing, ordering, etc.

• Integer Number Lines Integers Number Lines from -10 to 10 Integers Number Lines from -15 to 15 Integers Number Lines from -20 to 20 Integers Number Lines from -25 to 25 OLD Integer Number Lines

Comparing and Ordering Integers

For students who are just starting with integers, it is very helpful if they can use an integer number line to compare integers and to see how the placement of integers works. They should quickly realize that negative numbers are counter-intuitive because they are probably quite used to larger absolute values meaning larger numbers. The reverse is the case, of course, with negative numbers. Students should be able to recognize easily that a positive number is always greater than a negative number and that between two negative integers, the one with the lesser absolute value is actually the greater number. Have students practice with these integers worksheets and follow up with the close proximity comparing integers worksheets.

• Comparing Integers Worksheets Comparing Positive and Negative Integers (-9 to +9) Comparing Positive and Negative Integers (-15 to +15) Comparing Positive and Negative Integers (-25 to +25) Comparing Positive and Negative Integers (-50 to +50) Comparing Positive and Negative Integers (-99 to +99) Comparing Negative Integers (-15 to -1)

By close proximity, we mean that the integers being compared differ very little in value. Depending on the range, we have allowed various differences between the two integers being compared. In the first set where the range is -9 to 9, the difference between the two numbers is always 1. With the largest range, a difference of up to 5 is allowed. These worksheets will help students further hone their ability to visualize and conceptualize the idea of negative numbers and will serve as a foundation for all the other worksheets on this page.

• Comparing Integers in Close Proximity Comparing Positive and Negative Integers (-9 to +9) in Close Proximity Comparing Positive and Negative Integers (-15 to +15) in Close Proximity Comparing Positive and Negative Integers (-25 to +25) in Close Proximity Comparing Positive and Negative Integers (-50 to +50) in Close Proximity Comparing Positive and Negative Integers (-99 to +99) in Close Proximity
• Ordering Integers Worksheets Ordering Integers on a Number Line Ordering Integers (range -9 to 9) Ordering Integers (range -20 to 20) Ordering Integers (range -50 to 50) Ordering Integers (range -99 to 99) Ordering Integers (range -999 to 999) Ordering Negative Integers (range -9 to -1) Ordering Negative Integers (range -99 to -10) Ordering Negative Integers (range -999 to -100)

Adding and Subtracting Integers

Two-color counters are fantastic manipulatives for teaching and learning about integer addition. Two-color counters are usually plastic chips that come with yellow on one side and red on the other side. They might be available in other colors, so you'll have to substitute your own colors in the following description.

Adding with two-color counters is actually quite easy. You model the first number with a pile of chips flipped to the correct side and you also model the second number with a pile of chips flipped to the correct side; then you mash them all together, take out the zeros (if any) and behold, you have your answer! Need further elaboration? Read on!

The correct side means using red to model negative numbers and yellow to model positive numbers. You would model —5 with five red chips and 7 with seven yellow chips. Mashing them together should be straight forward although, you'll want to caution your students to be less exuberant than usual, so none of the chips get flipped. Taking out the zeros means removing as many pairs of yellow and red chips as you can. You can do this because —1 and 1 when added together equals zero (this is called the zero principle). If you remove the zeros, you don't affect the answer. The benefit of removing the zeros, however, is that you always end up with only one color and as a consequence, the answer to the integer question. If you have no chips left at the end, the answer is zero!

• Adding Integers Worksheets with 75 Questions Per Page (Some Parentheses) Adding Integers from -9 to 9 (75 Questions) ✎ Adding Integers from -12 to 12 (75 Questions) ✎ Adding Integers from -15 to 15 (75 Questions) ✎ Adding Integers from -20 to 20 (75 Questions) ✎ Adding Integers from -25 to 25 (75 Questions) ✎ Adding Integers from -50 to 50 (75 Questions) ✎ Adding Integers from -99 to 99 (75 Questions) ✎
• Adding Integers Worksheets with 75 Questions Per Page (All Parentheses) Adding Integers from (-9) to (+9) All Parentheses (75 Questions) ✎ Adding Integers from (-12) to (+12) All Parentheses (75 Questions) ✎ Adding Integers from (-15) to (+15) All Parentheses (75 Questions) ✎ Adding Integers from (-20) to (+20) All Parentheses (75 Questions) ✎ Adding Integers from (-25) to (+25) All Parentheses (75 Questions) ✎ Adding Integers from (-50) to (+50) All Parentheses (75 Questions) ✎ Adding Integers from (-99) to (+99) All Parentheses (75 Questions) ✎
• Adding Integers Worksheets with 75 Questions Per Page (No Parentheses) Adding Integers from -9 to 9 No Parentheses (75 Questions) ✎ Adding Integers from -12 to 12 No Parentheses (75 Questions) ✎ Adding Integers from -15 to 15 No Parentheses (75 Questions) ✎ Adding Integers from -20 to 20 No Parentheses (75 Questions) ✎ Adding Integers from -25 to 25 No Parentheses (75 Questions) ✎ Adding Integers from -50 to 50 No Parentheses (75 Questions) ✎ Adding Integers from -99 to 99 No Parentheses (75 Questions) ✎
• Adding Integers Worksheets with 50 Questions Per Page (Some Parentheses) Adding Integers from -9 to 9 (50 Questions) ✎ Adding Integers from -12 to 12 (50 Questions) ✎ Adding Integers from -15 to 15 (50 Questions) ✎ Adding Integers from -20 to 20 (50 Questions) ✎ Adding Integers from -25 to 25 (50 Questions) ✎ Adding Integers from -50 to 50 (50 Questions) ✎ Adding Integers from -99 to 99 (50 Questions) ✎
• Adding Integers Worksheets with 50 Questions Per Page (All Parentheses) Adding Integers from (-9) to (+9) All Parentheses (50 Questions) ✎ Adding Integers from (-12) to (+12) All Parentheses (50 Questions) ✎ Adding Integers from (-15) to (+15) All Parentheses (50 Questions) ✎ Adding Integers from (-20) to (+20) All Parentheses (50 Questions) ✎ Adding Integers from (-25) to (+25) All Parentheses (50 Questions) ✎ Adding Integers from (-50) to (+50) All Parentheses (50 Questions) ✎ Adding Integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• Adding Integers Worksheets with 50 Questions Per Page (No Parentheses) Adding Integers from -9 to 9 No Parentheses (50 Questions) ✎ Adding Integers from -12 to 12 No Parentheses (50 Questions) ✎ Adding Integers from -15 to 15 No Parentheses (50 Questions) ✎ Adding Integers from -20 to 20 No Parentheses (50 Questions) ✎ Adding Integers from -25 to 25 No Parentheses (50 Questions) ✎ Adding Integers from -50 to 50 No Parentheses (50 Questions) ✎ Adding Integers from -99 to 99 No Parentheses (50 Questions) ✎
• Adding Integers Worksheets with 25 Large Print Questions Per Page (Some Parentheses) Adding Integers from -9 to 9 (Large Print; 25 Questions) ✎ Adding Integers from -12 to 12 (Large Print; 25 Questions) ✎ Adding Integers from -15 to 15 (Large Print; 25 Questions) ✎ Adding Integers from -20 to 20 (Large Print; 25 Questions) ✎ Adding Integers from -25 to 25 (Large Print; 25 Questions) ✎ Adding Integers from -50 to 50 (Large Print; 25 Questions) ✎ Adding Integers from -99 to 99 (Large Print; 25 Questions) ✎
• Adding Integers Worksheets with 25 Large Print Questions Per Page (All Parentheses) Adding Integers from (-9) to (+9) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-12) to (+12) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-15) to (+15) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-20) to (+20) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-25) to (+25) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-50) to (+50) All Parentheses (Large Print; 25 Questions) ✎ Adding Integers from (-99) to (+99) All Parentheses (Large Print; 25 Questions) ✎
• Adding Integers Worksheets with 25 Large Print Questions Per Page (No Parentheses) Adding Integers from -9 to 9 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -12 to 12 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -15 to 15 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -20 to 20 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -25 to 25 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -50 to 50 No Parentheses (Large Print; 25 Questions) ✎ Adding Integers from -99 to 99 No Parentheses (Large Print; 25 Questions) ✎
• Vertically Arranged Integer Addition Worksheets 3-Digit Integer Addition (Vertically Arranged) 3-Digit Positive Plus a Negative Integer Addition (Vertically Arranged) 3-Digit Negative Plus a Positive Integer Addition (Vertically Arranged) 3-Digit Negative Plus a Negative Integer Addition (Vertically Arranged)

Subtracting with integer chips is a little different. Integer subtraction can be thought of as removing. To subtract with integer chips, begin by modeling the first number (the minuend) with integer chips. Next, remove the chips that would represent the second number from your pile and you will have your answer. Unfortunately, that isn't all there is to it. This works beautifully if you have enough of the right color chip to remove, but often times you don't. For example, 5 - (-5), would require five yellow chips to start and would also require the removal of five red chips, but there aren't any red chips! Thank goodness, we have the zero principle. Adding or subtracting zero (a red chip and a yellow chip) has no effect on the original number, so we could add as many zeros as we wanted to the pile, and the number would still be the same. All that is needed then is to add as many zeros (pairs of red and yellow chips) as needed until there are enough of the correct color chip to remove. In our example 5 - (-5), you would add 5 zeros, so that you could remove five red chips. You would then be left with 10 yellow chips (or +10) which is the answer to the question.

• Subtracting Integers Worksheets with 75 Questions Per Page (Some Parentheses) Subtracting Integers from -9 to 9 (75 Questions) ✎ Subtracting Integers from -12 to 12 (75 Questions) ✎ Subtracting Integers from -15 to 15 (75 Questions) ✎ Subtracting Integers from -20 to 20 (75 Questions) ✎ Subtracting Integers from -25 to 25 (75 Questions) ✎ Subtracting Integers from -50 to 50 (75 Questions) ✎ Subtracting Integers from -99 to 99 (75 Questions) ✎
• Subtracting Integers Worksheets with 75 Questions Per Page (All Parentheses) Subtracting Integers from (-9) to (+9) All Parentheses (75 Questions) ✎ Subtracting Integers from (-12) to (+12) All Parentheses (75 Questions) ✎ Subtracting Integers from (-15) to (+15) All Parentheses (75 Questions) ✎ Subtracting Integers from (-20) to (+20) All Parentheses (75 Questions) ✎ Subtracting Integers from (-25) to (+25) All Parentheses (75 Questions) ✎ Subtracting Integers from (-50) to (+50) All Parentheses (75 Questions) ✎ Subtracting Integers from (-99) to (+99) All Parentheses (75 Questions) ✎
• Subtracting Integers Worksheets with 75 Questions Per Page (No Parentheses) Subtracting Integers from -9 to 9 No Parentheses (75 Questions) ✎ Subtracting Integers from -12 to 12 No Parentheses (75 Questions) ✎ Subtracting Integers from -15 to 15 No Parentheses (75 Questions) ✎ Subtracting Integers from -20 to 20 No Parentheses (75 Questions) ✎ Subtracting Integers from -25 to 25 No Parentheses (75 Questions) ✎ Subtracting Integers from -50 to 50 No Parentheses (75 Questions) ✎ Subtracting Integers from -99 to 99 No Parentheses (75 Questions) ✎
• Subtracting Integers Worksheets with 50 Questions Per Page (Some Parentheses) Subtracting Integers from -9 to 9 (50 Questions) ✎ Subtracting Integers from -12 to 12 (50 Questions) ✎ Subtracting Integers from -15 to 15 (50 Questions) ✎ Subtracting Integers from -20 to 20 (50 Questions) ✎ Subtracting Integers from -25 to 25 (50 Questions) ✎ Subtracting Integers from -50 to 50 (50 Questions) ✎ Subtracting Integers from -99 to 99 (50 Questions) ✎
• Subtracting Integers Worksheets with 50 Questions Per Page (All Parentheses) Subtracting Integers from (-9) to (+9) All Parentheses (50 Questions) ✎ Subtracting Integers from (-12) to (+12) All Parentheses (50 Questions) ✎ Subtracting Integers from (-15) to (+15) All Parentheses (50 Questions) ✎ Subtracting Integers from (-20) to (+20) All Parentheses (50 Questions) ✎ Subtracting Integers from (-25) to (+25) All Parentheses (50 Questions) ✎ Subtracting Integers from (-50) to (+50) All Parentheses (50 Questions) ✎ Subtracting Integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• Subtracting Integers Worksheets with 50 Questions Per Page (No Parentheses) Subtracting Integers from -9 to 9 No Parentheses (50 Questions) ✎ Subtracting Integers from -12 to 12 No Parentheses (50 Questions) ✎ Subtracting Integers from -15 to 15 No Parentheses (50 Questions) ✎ Subtracting Integers from -20 to 20 No Parentheses (50 Questions) ✎ Subtracting Integers from -25 to 25 No Parentheses (50 Questions) ✎ Subtracting Integers from -50 to 50 No Parentheses (50 Questions) ✎ Subtracting Integers from -99 to 99 No Parentheses (50 Questions) ✎
• Subtracting Integers Worksheets with 25 Large Print Questions Per Page (Some Parentheses) Subtracting Integers from -9 to 9 (Large Print; 25 Questions) ✎ Subtracting Integers from -12 to 12 (Large Print; 25 Questions) ✎ Subtracting Integers from -15 to 15 (Large Print; 25 Questions) ✎ Subtracting Integers from -20 to 20 (Large Print; 25 Questions) ✎ Subtracting Integers from -25 to 25 (Large Print; 25 Questions) ✎ Subtracting Integers from -50 to 50 (Large Print; 25 Questions) ✎ Subtracting Integers from -99 to 99 (Large Print; 25 Questions) ✎
• Subtracting Integers Worksheets with 25 Large Print Questions Per Page (All Parentheses) Subtracting Integers from (-9) to (+9) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-12) to (+12) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-15) to (+15) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-20) to (+20) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-25) to (+25) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-50) to (+50) All Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-99) to (+99) All Parentheses (Large Print; 25 Questions) ✎
• Subtracting Integers Worksheets with 25 Large Print Questions Per Page (No Parentheses) Subtracting Integers from (-9) to 9 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-12) to 12 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-15) to 15 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-20) to 20 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-25) to 25 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-50) to 50 No Parentheses (Large Print; 25 Questions) ✎ Subtracting Integers from (-99) to 99 No Parentheses (Large Print; 25 Questions) ✎
• Vertically Arranged Integer Subtraction Worksheets 3-Digit Integer Subtraction (Vertically Arranged) 3-Digit Positive Minus a Positive Integer Subtraction (Vertically Arranged) 3-Digit Positive Minus a Negative Integer Subtraction (Vertically Arranged) 3-Digit Negative Minus a Positive Integer Subtraction (Vertically Arranged) 3-Digit Negative Minus a Negative Integer Subtraction (Vertically Arranged)

The worksheets in this section include addition and subtraction on the same page. Students will have to pay close attention to the signs and apply their knowledge of integer addition and subtraction to each question. The use of counters or number lines could be helpful to some students.

• Adding and Subtracting Integers Worksheets with 75 Questions Per Page (Some Parentheses) Adding & Subtracting Integers from -9 to 9 (75 Questions) ✎ Adding & Subtracting Integers from -10 to 10 (75 Questions) ✎ Adding & Subtracting Integers from -12 to 12 (75 Questions) ✎ Adding & Subtracting Integers from -15 to 15 (75 Questions) ✎ Adding & Subtracting Integers from -20 to 20 (75 Questions) ✎ Adding & Subtracting Integers from -25 to 25 (75 Questions) ✎ Adding & Subtracting Integers from -50 to 50 (75 Questions) ✎ Adding & Subtracting Integers from -99 to 99 (75 Questions) ✎
• Adding and Subtracting Integers Worksheets with 75 Questions Per Page (All Parentheses) Adding & Subtracting Integers from (-5) to (+5) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-9) to (+9) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-12) to (+12) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-15) to (+15) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-20) to (+20) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-25) to (+25) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-50) to (+50) All Parentheses (75 Questions) ✎ Adding & Subtracting Integers from (-99) to (+99) All Parentheses (75 Questions) ✎
• Adding and Subtracting Integers Worksheets with 75 Questions Per Page (No Parentheses) Adding & Subtracting Integers from -9 to 9 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -12 to 12 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -15 to 15 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -20 to 20 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -25 to 25 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -50 to 50 No Parentheses (75 Questions) ✎ Adding & Subtracting Integers from -99 to 99 No Parentheses (75 Questions) ✎
• Adding and Subtracting Integers Worksheets with 50 Questions Per Page (Some Parentheses) Adding & Subtracting Integers from -9 to 9 (50 Questions) ✎ Adding & Subtracting Integers from -12 to 12 (50 Questions) ✎ Adding & Subtracting Integers from -15 to 15 (50 Questions) ✎ Adding & Subtracting Integers from -20 to 20 (50 Questions) ✎ Adding & Subtracting Integers from -25 to 25 (50 Questions) ✎ Adding & Subtracting Integers from -50 to 50 (50 Questions) ✎ Adding & Subtracting Integers from -99 to 99 (50 Questions) ✎
• Adding and Subtracting Integers Worksheets with 50 Questions Per Page (All Parentheses) Adding & Subtracting Integers from (-9) to (+9) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-12) to (+12) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-15) to (+15) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-20) to (+20) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-25) to (+25) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-50) to (+50) All Parentheses (50 Questions) ✎ Adding & Subtracting Integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• Adding and Subtracting Integers Worksheets with 50 Questions Per Page (No Parentheses) Adding & Subtracting Integers from -9 to 9 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -12 to 12 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -15 to 15 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -20 to 20 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -25 to 25 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -50 to 50 No Parentheses (50 Questions) ✎ Adding & Subtracting Integers from -99 to 99 No Parentheses (50 Questions) ✎
• Adding and Subtracting Integers Worksheets with 25 Large Print Questions Per Page (Some Parentheses) Adding & Subtracting Integers from -9 to 9 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -12 to 12 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -15 to 15 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -20 to 20 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -25 to 25 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -50 to 50 (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from -99 to 99 (Large Print; 25 Questions) ✎
• Adding and Subtracting Integers Worksheets with 25 Large Print Questions Per Page (All Parentheses) Adding & Subtracting Integers from (-9) to (+9) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-12) to (+12) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-15) to (+15) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-20) to (+20) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-25) to (+25) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-50) to (+50) All Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-99) to (+99) All Parentheses (Large Print; 25 Questions) ✎
• Adding and Subtracting Integers Worksheets with 25 Large Print Questions Per Page (No Parentheses) Adding & Subtracting Integers from (-9) to 9 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-12) to 12 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-15) to 15 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-20) to 20 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-25) to 25 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-50) to 50 No Parentheses (Large Print; 25 Questions) ✎ Adding & Subtracting Integers from (-99) to 99 No Parentheses (Large Print; 25 Questions) ✎

These worksheets include groups of questions that all result in positive or negative sums or differences. They can be used to help students see more clearly how certain integer questions end up with positive and negative results. In the case of addition of negative and positive integers, some people suggest looking for the "heavier" value to determine whether the sum will be positive of negative. More technically, it would be the integer with the greater absolute value. For example, in the question (−2) + 5, the absolute value of the positive integer is greater, so the sum will be positive.

In subtraction questions, the focus is on the subtrahend (the value being subtracted). In positive minus positive questions, if the subtrahend is greater than the minuend, the answer will be negative. In negative minus negative questions, if the subtrahend has a greater absolute value, the answer will be positive. Vice-versa for both situations. Alternatively, students can always convert subtraction questions to addition questions by changing the signs (e.g. (−5) − (−7) is the same as (−5) + 7; 3 − 5 is the same as 3 + (−5)).

• Scaffolded Integer Addition and Subtraction Positive Plus Negative Integer Addition (Scaffolded) ✎ Negative Plus Positive Integer Addition (Scaffolded) ✎ Mixed Integer Addition (Scaffolded) ✎ Positive Minus Positive Integer Subtraction (Scaffolded) ✎ Negative Minus Negative Integer Subtraction (Scaffolded) ✎

Multiplying and Dividing Integers

Multiplying integers is very similar to multiplication facts except students need to learn the rules for the negative and positive signs. In short, they are:

In words, multiplying two positives or two negatives together results in a positive product, and multiplying a negative and a positive in either order results in a negative product. So, -8 × 8, 8 × (-8), -8 × (-8) and 8 × 8 all result in an absolute value of 64, but in two cases, the answer is positive (64) and in two cases the answer is negative (-64).

Should you wish to develop some "real-world" examples of integer multiplication, it might be a stretch due to the abstract nature of negative numbers. Sure, you could come up with some scenario about owing a debt and removing the debt in previous months, but this may only result in confusion. For now students can learn the rules of multiplying integers and worry about the analogies later!

• Multiplying Integers with 100 Questions Per Page Multiplying Mixed Integers from -9 to 9 (100 Questions) ✎ Multiplying Positive by Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying Negative by Positive Integers from -9 to 9 (100 Questions) ✎ Multiplying Negative by Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying Mixed Integers from -12 to 12 (100 Questions) ✎ Multiplying Positive by Negative Integers from -12 to 12 (100 Questions) ✎ Multiplying Negative by Positive Integers from -12 to 12 (100 Questions) ✎ Multiplying Negative by Negative Integers from -12 to 12 (100 Questions) ✎ Multiplying Mixed Integers from -20 to 20 (100 Questions) ✎ Multiplying Mixed Integers from -50 to 50 (100 Questions) ✎
• Multiplying Integers with 50 Questions Per Page Multiplying Mixed Integers from -9 to 9 (50 Questions) ✎ Multiplying Positive by Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying Negative by Positive Integers from -9 to 9 (50 Questions) ✎ Multiplying Negative by Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying Mixed Integers from -12 to 12 (50 Questions) ✎ Multiplying Positive by Negative Integers from -12 to 12 (50 Questions) ✎ Multiplying Negative by Positive Integers from -12 to 12 (50 Questions) ✎ Multiplying Negative by Negative Integers from -12 to 12 (50 Questions) ✎
• Multiplying Integers with 25 Large Print Questions Per Page Multiplying Mixed Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Positive by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Negative by Positive Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Negative by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying Mixed Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying Positive by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying Negative by Positive Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying Negative by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎

Luckily (for your students), the rules of dividing integers are the same as the rules for multiplying:

Dividing a positive by a positive integer or a negative by a negative integer will result in a positive integer. Dividing a negative by a positive integer or a positive by a negative integer will result in a negative integer. A good grasp of division facts and a knowledge of the rules for multiplying and dividing integers will go a long way in helping your students master integer division. Use the worksheets in this section to guide students along.

• Dividing Integers with 100 Questions Per Page Dividing Mixed Integers from -9 to 9 (100 Questions) ✎ Dividing Positive by Negative Integers from -9 to 9 (100 Questions) ✎ Dividing Negative by Positive Integers from -9 to 9 (100 Questions) ✎ Dividing Negative by Negative Integers from -9 to 9 (100 Questions) ✎ Dividing Mixed Integers from -12 to 12 (100 Questions) ✎ Dividing Positive by Negative Integers from -12 to 12 (100 Questions) ✎ Dividing Negative by Positive Integers from -12 to 12 (100 Questions) ✎ Dividing Negative by Negative Integers from -12 to 12 (100 Questions) ✎
• Dividing Integers with 50 Questions Per Page Dividing Mixed Integers from -9 to 9 (50 Questions) ✎ Dividing Positive by Negative Integers from -9 to 9 (50 Questions) ✎ Dividing Negative by Positive Integers from -9 to 9 (50 Questions) ✎ Dividing Negative by Negative Integers from -9 to 9 (50 Questions) ✎ Dividing Mixed Integers from -12 to 12 (50 Questions) ✎ Dividing Positive by Negative Integers from -12 to 12 (50 Questions) ✎ Dividing Negative by Positive Integers from -12 to 12 (50 Questions) ✎ Dividing Negative by Negative Integers from -12 to 12 (50 Questions) ✎
• Dividing Integers with 25 Large Print Questions Per Page Dividing Mixed Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Positive by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Negative by Positive Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Negative by Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Dividing Mixed Integers from -12 to 12 (25 Questions; Large Print) ✎ Dividing Positive by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎ Dividing Negative by Positive Integers from -12 to 12 (25 Questions; Large Print) ✎ Dividing Negative by Negative Integers from -12 to 12 (25 Questions; Large Print) ✎

This section includes worksheets with both multiplying and dividing integers on the same page. As long as students know their facts and the integer rules for multiplying and dividing, their sole worry will be to pay attention to the operation signs.

• Multiplying and Dividing Integers with 100 Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (100 Questions) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (100 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (100 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (100 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (100 Questions) ✎
• Multiplying and Dividing Integers with 75 Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (75 Questions) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (75 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (75 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (75 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (75 Questions) ✎
• Multiplying and Dividing Integers with 50 Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (50 Questions) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (50 Questions) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (50 Questions) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (50 Questions) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (50 Questions) ✎
• Multiplying and Dividing Integers with 25 Large Print Questions Per Page Multiplying and Dividing Mixed Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Positive and Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Positive Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Negative Integers from -9 to 9 (25 Questions; Large Print) ✎ Multiplying and Dividing Mixed Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying and Dividing Positive and Negative Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Positive Integers from -12 to 12 (25 Questions; Large Print) ✎ Multiplying and Dividing Negative and Negative Integers from -12 to 12 (25 Questions; Large Print) ✎

All Operations with Integers

In this section, the integers math worksheets include all of the operations. Students will need to pay attention to the operations and the signs and use mental math or another strategy to arrive at the correct answers. It should go without saying that students need to know their basic addition, subtraction, multiplication and division facts and rules regarding operations with integers before they should complete any of these worksheets independently. Of course, the worksheets can be used as a source of questions for lessons, tests or other learning activities.

• All Operations with Integers with 50 Questions Per Page (Some Parentheses) All operations with integers from -9 to 9 (50 Questions) ✎ All operations with integers from -12 to 12 (50 Questions) ✎ All operations with integers from -15 to 15 (50 Questions) ✎ All operations with integers from -20 to 20 (50 Questions) ✎ All operations with integers from -25 to 25 (50 Questions) ✎ All operations with integers from -50 to 50 (50 Questions) ✎ All operations with integers from -99 to 99 (50 Questions) ✎
• All Operations with Integers with 50 Questions Per Page (All Parentheses) All operations with integers from (-9) to (+9) All Parentheses (50 Questions) ✎ All operations with integers from (-12) to (+12) All Parentheses (50 Questions) ✎ All operations with integers from (-15) to (+15) All Parentheses (50 Questions) ✎ All operations with integers from (-20) to (+20) All Parentheses (50 Questions) ✎ All operations with integers from (-25) to (+25) All Parentheses (50 Questions) ✎ All operations with integers from (-50) to (+50) All Parentheses (50 Questions) ✎ All operations with integers from (-99) to (+99) All Parentheses (50 Questions) ✎
• All Operations with Integers with 50 Questions Per Page (No Parentheses) All operations with integers from -9 to 9 No Parentheses (50 Questions) ✎ All operations with integers from -12 to 12 No Parentheses (50 Questions) ✎ All operations with integers from -15 to 15 No Parentheses (50 Questions) ✎ All operations with integers from -20 to 20 No Parentheses (50 Questions) ✎ All operations with integers from -25 to 25 No Parentheses (50 Questions) ✎ All operations with integers from -50 to 50 No Parentheses (50 Questions) ✎ All operations with integers from -99 to 99 No Parentheses (50 Questions) ✎

Order of operations with integers can be found on the Order of Operations page:

Order of Operations with Integers

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