# 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 Add Integers.

Rules to Subtract Integers.