Class 06|| Maths || Ch. 05 Integer

Integers

Integers are the group of negative and positive numbers with zero.

The collection of numbers..., – 4, – 3, – 2, – 1, 0, 1, 2, 3, 4, ... is called integers.

So, – 1, – 2, – 3, – 4, ... called negative numbers are negative integers and 

1, 2, 3, 4, ... called positive numbers are the positive integers. (Number without sign is concluded positive number)

 Zero '0' is neither negative nor positive. 

 Zero is neither a – nor a + integer. 

                             ____

∞<..–3< –2< –1< 0 < 1< 2< 3 ..< ... ∞

Negative Integer        Positive Integer

Addition Or Subtraction Of Integers

Rule No. 1

Same sign (+, +) or (–,–) are added and different sign (+, –) or (–,+) will subtracted and written with greatest number.

* You add when you have two positive numbers like (+3) + (+2) = +5 [= 3 + 2]. 

* You also add when you have two negative numbers, but the answer

will take a minus (–) sign like (–2) + (–1) = – (2+1) = –3.

* When you have one positive and one negative integer, you must subtract, but answer will take the sign of the bigger integer. (Ignoring the signs of the numbers decide which is bigger).

Additive Inverse

Additive inverse of the number with opposite sign is the additive inverse of the number. 

As additive inverse of –m is +m and additive inverse +m is  –m.