Class 7 · Chapter 1

Integers

Properties of integers, multiplication and division of integers, distributive law.

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Tip: open the NCERT PDF for the original chapter text alongside the notes here.
Detailed theory
Product of two positives = positive. Two negatives = positive. Positive × negative = negative. E.g. (3)×(4)=12(-3) \times (-4) = 12; (3)×4=12(-3) \times 4 = -12.
Key concepts & formulas
01
Integers = ,3,2,1,0,1,2,3,\ldots, -3, -2, -1, 0, 1, 2, 3, \ldots
02
Product/quotient of two negatives is positive.
03
ab=a+(b)a - b = a + (-b).
04
Division by 00 is not defined.
05
a(b+c)=ab+aca(b+c) = ab + ac (distributive law).
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026