How do I solve Integers problems?

Understand the number line: numbers to the right are greater, numbers to the left are smaller. Addition: same signs — add and keep the sign. Different signs — subtract and keep the sign of the larger number.

What are common mistakes in Integers?

Confusing -(-a) with -(a). The negative of a negative is positive. Errors with subtraction of negative numbers: 5 - (-3) = 5 + 3 = 8, not 2.

Which class covers Integers?

Integers is typically taught in Class 6, 7. SparkEd has free practice for all these grades.

Where can I practise Integers for free?

SparkEd offers free chapter-wise practice for Integers aligned to CBSE, ICSE, and IB curricula. Visit sparkedmaths.com to start.

How to Solve Integers — Step by Step Guide

Add, subtract, multiply and divide positive and negative numbers. This guide covers Class 6 to 7.

Step-by-Step Method

1
Understand the number line: numbers to the right are greater, numbers to the left are smaller.
2
Addition: same signs — add and keep the sign. Different signs — subtract and keep the sign of the larger number.
3
Subtraction: change the sign of the number being subtracted, then follow addition rules.
4
Multiplication/Division: same signs give positive, different signs give negative.
5
Remember: multiplying or dividing by zero has special rules — anything × 0 = 0, division by 0 is undefined.

Worked Example

Problem: Calculate (-7) + 4 - (-3)

Solution: (-7) + 4 = -3. Then -3 - (-3) = -3 + 3 = 0.

Common Mistakes to Avoid

✗
Confusing -(-a) with -(a). The negative of a negative is positive.
✗
Errors with subtraction of negative numbers: 5 - (-3) = 5 + 3 = 8, not 2.
✗
Forgetting sign rules in multiplication: negative × negative = positive.
✗
Assuming 0 is positive — it is neither positive nor negative.

Practice Integers on SparkEd

Get free chapter-wise practice questions aligned to your board:

CBSE Class 6 Integers CBSE Class 7 Integers

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Frequently Asked Questions

How do I solve Integers problems?: Understand the number line: numbers to the right are greater, numbers to the left are smaller. Addition: same signs — add and keep the sign. Different signs — subtract and keep the sign of the larger number.
What are common mistakes in Integers?: Confusing -(-a) with -(a). The negative of a negative is positive. Errors with subtraction of negative numbers: 5 - (-3) = 5 + 3 = 8, not 2.
Which class covers Integers?: Integers is typically taught in Class 6, 7. SparkEd has free practice for all these grades.
Where can I practise Integers for free?: SparkEd offers free chapter-wise practice for Integers aligned to CBSE, ICSE, and IB curricula. Visit sparkedmaths.com to start.

SparkEd Maths — sparked.coms@gmail.com — www.sparkedmaths.com