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# Irrational numbers

K
Kaivalya P.
08/07/2019 0 0

When we divide a number by another number, there is a possibility of getting three types of decimals.

1) Terminating decimal

2) Recurring, non terminating decimal

3) Non recurring, non terminating decimal

1)  Terminating decimals :-      The decimals which terminate after a finite number when a number is divided by another number.

Ex: 2/5 = 0.4

13/4 = 3.25

125/8 = 15.625

2) Non terminating, recurring decimals :-

The decimals which repeat but never terminate.

Ex: 10/3 = 0.333333333.............

20/3 = 0.666666666............

26/7 = 3.714285 714285 714285.....

3) Non terminating, non recurring decimals :-

The decimals which neither end at some finite point nor repeat themselves.

Ex : √3 = 1.732....

√2 = 1.414....

Irrational numbers :-

The non terminating and non recurring decimals are known as irrational numbers.

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