Question

How to know 2/11 is terminating or non-terminating. number?

Answer 1

If the denominator is in the form of 2^n5^m then it is terminating otherwise non terminating.
So in 2/11 the denominator 11 do not have any factor as 2 or 5 so its non terminating.

Answer 2

Concept:

Non termination  means after the decimal points the digits are constantly repeating like in 1/6 or like in e the digits are non terminating but also never repeating

Terminating means after the decimal point the digits end up after certain point like 1/5 or 1/200

It can be identified by

If the denominator is in the form of 2ᵃ5ᵇ then it is terminating otherwise non terminating.

Given:

2/11

FIND:

How to know 2/11 is terminating or non-terminating. number?

Solution:

If the denominator is in the form of 2ᵃ5ᵇ then it is terminating otherwise non terminating.

So in 2/11 the denominator 11 do not have any factor as 2 or 5 so its non terminating.

2/11=0.1818181818181.........................

Therefore, we can say 2/11 is non terminating

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