Integers

What are integers?

The negative numbers, zero and the natural numbers together are called integers.

A collection of numbers which is written as …….. -4, -3, -2, -1, 0, 1, 2, 3, 4……… .

These numbers are called integers.

For example:

(i) -8, -2, 0, 2, 8

(ii) -7, -1, 0, 5, 12

(iii) -15, -9, 11, 21

(iv) -10, -3, 0, 9, 14

(v) -6, -4, 0, 7, 19

Negative Integers

The negative numbers ………. -5, -4, -3, -2, -1 are called negative integers.

Thus, examples of negative integers are ……… -5, -4, -3, -2, -1.

Note:

We use the symbol ‘-’ to denote negative integers and the same symbol is used to indicate subtraction. But the context will always make it clear whether we mean negative integer or subtraction.

Positive Integers

The natural numbers 1, 2, 3, 4, 5……… are called positive integers.

Thus, examples of positive integers are 1, 2, 3, 4, 5………. .

Note:

Positive integers are also written as +1, +2, +3, +4, +5 ………… however, the plus sign (+) is usually omitted and understood.

The number 0 is simply an integer. It is neither positive nor negative.

Representation of Integers on a Number Line.

Addition of Integers on a Number Line.

Rules to Subtract Integers.