Class 7 · Chapter 10

Operations with Integers

Advanced integer arithmetic: multiplication, division, powers.

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Ganita Prakash · Class 7 Part 2 (2026-27)
Tip: NCERT updated the syllabus for 2026-27. The links above open the latest edition on the official portal — chapter titles and numbering may differ from the notes shown here.
Detailed theory
Multiplication: same signs positive, different signs negative. Division follows same. (−15)÷3=−5(-15)\div 3 = -5.
Key concepts & formulas
01
(+)(+)=+,(−)(−)=+,(+)(−)=−,(−)(+)=−(+)(+) = +, (-)(-) = +, (+)(-) = -, (-)(+) = -.
02
Division follows the same sign rules.
03
(−a)n(-a)^n: positive if nn even, negative if nn odd.
04
Distributive: a(b+c)=ab+aca(b+c) = ab+ac.
05
Integer arithmetic is closed under +,−,×+, -, \times (not always ÷\div).
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026