Adding and Subtracting Integers Worksheet

Are you struggling with addition and subtraction of integers? It is one of the challenges students face while doing mathematical operations. You can learn it easily with the right strategy and approach. 

If you find adding and subtracting integers challenging, the worksheet can help you understand and solve these problems more easily. It enables you to strengthen your problem-solving skills.   

In this blog, you will learn how to add and subtract integers. You will get a free printable worksheet in PDF to practice the problems. 

How to Add Integers  

The addition of integers becomes easy when you understand the rules of signs. To add integers, use this rule;

• If the signs are the same, add their absolute values and keep the original sign
• If the signs are different, subtract the smaller absolute value from the larger one and use the sign of the integer with the larger absolute value. 

Adding Integers With the Same Sign

When adding integers with the same sign, follow these steps:

1. Identify the Sign: Determine if the integers are both positive or both negative.

2. Add the Absolute Values: Take the absolute value of each integer (ignore the sign) and add them together.

3. Apply the Common Sign: The sum keeps the same sign as the original integers.

Examples

Positive Integers:  ( 5 + 3 = 8 ). Both numbers are positive, so add 5 + 3 = 8, and the result is positive:  +8.

Negative Integers:  

 -5 + (-3) = -8  

 Both numbers are negative. Add the absolute values: 5 + 3 = 8. Apply the negative sign: -8.

Adding Integers With Different Signs

• Find the absolute values: Determine the absolute value of each integer (its distance from zero).
• Subtract the smaller absolute value from the larger one: This gives you the magnitude of the answer.
• Assign the sign: The result will take the sign of the integer that had the larger absolute value.

Examples: 

-12 + 5

• The absolute value of -12 is 12. The absolute value of 5 is 5.
• Subtract the smaller from the larger: 12 - 5 = 7.
• The number with the larger absolute value was -12, so the sign is negative.
• Therefore, -12 + 5 = -7.

9 + (-3)

• The absolute value of 9 is 9. The absolute value of -3 is 3.
• Subtract the smaller from the larger: 9 - 3 = 6.
• The number with the larger absolute value was 9, so the sign is positive.
• Therefore, 9 + (-3) = 6.

What is Adding and Subtracting Integers Worksheet 

An Addition and Subtraction of  Integers Worksheet is an educational tool designed to help students practice and master the skills of adding and subtracting integers.

These worksheets are commonly used in middle school math classrooms (typically grades 6–8) to reinforce the rules of integer operations, which are foundational for algebra and other advanced math concepts.

Purpose of the Worksheet

The worksheet provides structured practice problems to help students:

• Understand the rules for adding and subtracting integers, such as same signs, different signs, and subtraction as adding the opposite.
• Build fluency in performing calculations with positive and negative numbers.
• Apply integer operations to real-world scenarios (e.g., temperature changes, financial transactions).
• Develop problem-solving skills through varied formats like direct calculations, word problems, and multiple-choice questions.

Also get musltistep equation worksheet

General Strategies for Solving Integers Worksheet Problems

To solve problems on an Adding and Subtracting Integers Worksheet, you need to apply the rules for integer operations systematically. Below, you will learn how to approach each type of problem on such worksheets, using clear steps and examples.

Read Carefully

Identify whether the problem involves addition, subtraction, or a combination. Pay attention to signs (positive or negative) and any context (e.g., word problems)

Use Rules for Integers

Apply the specific rules for adding and subtracting integers (detailed below).

Show Work

For problems requiring work, write out steps to avoid errors, especially when rewriting subtraction as addition.

Use Tools if Needed

A number line can help visualize operations, especially for beginners.

Check Answers

Verify calculations, especially for negative numbers, to ensure the sign and value are correct. You can get the help of a Math online tutor for answer check and evaluation. 

You can download a printable adding and subtracting integers worksheet PDF.

Adding and Subtracting Integers Coloring Worksheet

An adding and subtracting integers coloring worksheet is a practice tool where students solve problems involving positive and negative integers to determine the corresponding color for a section of a picture. 

It provides a fun and engaging way to practice and assess integer operations. These worksheets typically provide a color key linked to specific answer ranges or values. 

You can download the adding and subtracting integers coloring worksheet PDF. 

Adding and Subtracting Integers on a Number Line Worksheet

An Adding and Subtracting Integers on a Number Line Worksheet provides practice problems for students to learn and reinforce how to perform addition and subtraction with positive and negative whole numbers (integers) using a number line.

These worksheets typically include examples, exercises to plot, mark, and move along the number line, and problems that require writing addition or subtraction equations to represent a number line model. 

Conclusion 

An adding and subtracting integers worksheet provides practice problems for working with positive and negative whole numbers. Worksheets cover how to add or subtract integers by using number lines, applying rules like "minus a minus equals a plus", and determining the absolute value. They include both guided practice and independent exercises to reinforce the concepts.