Class 6 · Chapter 6

Integers

Positive and negative integers; representation on a number line; addition and subtraction of integers.

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Detailed theory
Integers: ,3,2,1,0,1,2,3,\ldots, -3, -2, -1, 0, 1, 2, 3, \ldots. Positive integers (>0>0), zero, and negative integers (<0<0). They represent quantities with direction (temperature above/below zero, altitude above/below sea level).
Key concepts & formulas
01
Integers = ,3,2,1,0,1,2,3,\ldots, -3, -2, -1, 0, 1, 2, 3, \ldots
02
On a number line, positive integers lie right of 00, negatives left.
03
a+(a)=0a + (-a) = 0; a-a is the additive inverse of aa.
04
Subtracting an integer is same as adding its inverse.
05
00 is neither positive nor negative.
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026