Revision Notes for Class 7 Maths Chapter 10: Operations with Integers

Quick revision notes summarizing all key concepts from Class 7 Maths Chapter 10 “Operations with Integers”. These Class 7 Mathematics Chapter 10 notes are ideal for quick revision just before exams.

Last Updated: September 23, 2026

• To multiply or divide two integers: multiply/divide their absolute values, then apply the sign rule — same signs give a positive result; different signs give a negative result.
• With multiple factors, count the number of negative signs: an even count of negatives gives a positive result; an odd count gives a negative result.
• The distributive property applies to integers: a × (b + c) = a×b + a×c.
• Real-world integer applications: temperature changes (drops = negative), profit/loss (loss = negative), and elevation (below sea level = negative).
• To find an unknown in an equation like a × x = b, use x = b ÷ a (with correct sign rules).
• Finding a pair of numbers from their sum and difference: if a+b=Sum and a−b=Difference, then a=(Sum+Difference)/2 and b=(Sum−Difference)/2.
• When solving word problems with rates over time (e.g., temperature drop, cost accumulation), multiply the per-unit rate by the number of units, then add/subtract from the starting value.

See also: NCERT Solutions for Class 7 Maths Chapter 10

Practice more: Extra Questions for Class 7 Maths Chapter 10

For the full chapter, see the Class 7 Maths book page and the Class 7 Maths Formulas Handbook.

Frequently Asked Questions

What is the rule for multiplying two negative integers?
When two negative integers are multiplied together, the result is always positive, because multiplying by a negative number twice reverses the direction of the value twice, bringing it back to a positive result.

How is subtracting a negative integer the same as adding a positive integer?
Subtracting a negative integer is equivalent to adding its positive counterpart, since removing a negative value has the same effect as adding that value in the positive direction on the number line.

Written by Satish

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