Adding and subtracting integers is a fundamental skill in mathematics, essential for students in grades 6, 7, and 8. To help students grasp these concepts, we’ve created 30 free worksheets in PDF’s that are comprehensive and engaging and include a variety of question types, including multiple-choice questions (MCQs). We provided an overview of the key concepts, add and subtract integer rules, and tips to ensure students can confidently handle integer operations.
Understanding the Basics: What Are Integers?
Integers are whole numbers that can be positive, negative, or zero. They do not include fractions or decimals. Understanding integers is crucial as they form the foundation for many advanced mathematical concepts.
Why Are Addition and Subtraction Integers Important?
Adding and subtracting integers is not just about computation; it’s about developing logical thinking and problem-solving skills. These operations are used in various real-life scenarios, from calculating debits and credits to determining temperature changes.
Integer Addition and Subtraction Worksheets
To aid students’ learning, our addition and subtraction integers worksheets are designed to cover different difficulty levels and include a mix of problem types. These worksheets help reinforce the rules and provide ample practice to master the topic.
Adding and Subtracting Integers Rules
Before diving into the worksheets, it’s essential to understand the rules for integers adding and subtracting. These rules are the backbone of all operations involving integers.
Rules for Adding Integers
- Same Signs: When adding integers with the same sign, add their absolute values. The sum has the same sign as the integers.
- Example: (+3)+(+4)=+7(+3) + (+4) = +7(+3)+(+4)=+7
- Example: (−5)+(−2)=−7(-5) + (-2) = -7(−5)+(−2)=−7
- Different Signs: When adding integers with different signs, subtract the smaller absolute value from the larger absolute value. The sum takes the sign of the integer with the larger absolute value.
- Example: (+7)+(−3)=+4(+7) + (-3) = +4(+7)+(−3)=+4
- Example: (−6)+(+2)=−4(-6) + (+2) = -4(−6)+(+2)=−4
Rules for Subtracting Integers
- Subtracting a Positive Integer: Subtract the absolute value and keep the sign of the original integer.
- Example: (+5)−(+3)=+2(+5) – (+3) = +2(+5)−(+3)=+2
- Example: (−8)−(+2)=−10(-8) – (+2) = -10(−8)−(+2)=−10
- Subtracting a Negative Integer: Change the subtraction sign to addition and change the sign of the integer being subtracted, then follow the rules for adding integers.
- Example: (+6)−(−3)=+6+3=+9(+6) – (-3) = +6 + 3 = +9(+6)−(−3)=+6+3=+9
- Example: (−4)−(−7)=−4+7=+3(-4) – (-7) = -4 + 7 = +3(−4)−(−7)=−4+7=+3
Add and Subtract Integers Worksheet PDF with Answer Key
Our addition and subtraction integers worksheet PDF is available for free download. These worksheets come with answers, making it easy for students to check their work and understand their mistakes.
Integers Adding and Subtracting Practice
Regular practice is key to mastering the rules of adding and subtracting integers. Our worksheets provide a variety of exercises to help students gain confidence and improve their skills. From simple calculations to more complex problems, students can gradually build their understanding and proficiency.
To assist students in verifying their answers and practicing more efficiently, an add and subtract integers calculator can be a handy tool. However, students must understand the underlying concepts and not rely solely on calculators.
Grade 6, 7, 8 Specific Worksheets
We have tailored worksheets to meet the needs of different grade levels, ensuring that each student can practice at an appropriate difficulty level.
Our 6th-grade adding and subtracting integers worksheet introduces students to basic integer operations with straightforward problems to build a solid foundation.
The 7th-grade worksheets provide more challenging problems, incorporating positive and negative integers in various contexts to enhance problem-solving skills.
For 8th graders, our worksheets include complex integer problems that require a deeper understanding of the rules and concepts, preparing students for high school math.
Mastering the rules of adding and subtracting integers is essential for students in grades 6, 7, and 8. Our comprehensive worksheets, available for free download, provide the practice and reinforcement needed to develop these crucial math skills. Students can build a strong mathematical foundation supporting their future learning by following the rules and consistently practicing.
Download our adding and subtracting integers worksheet PDF today and start practicing to become proficient in integer operations!
Answer Keys:
Adding 2 Integers
Adding 3 Integers
Mixed Adding and Subtracting Integers
Subtracting 2 Integers
Subtracting 3 Integers
Adding Integer MCQ
Subtracting Integer MCQ
Adding and Subtracting Integers MCQ
