Question

The decimal expansion of the rational number 97/2×54 will terminate after __ decimal places

Answer 1

97/2 × 54

97/108

0.89814814814....

terminate after five decimals 0.89814 bar on 814

Hope that it is helpful to you

If it is helpful to you add my answer to

Brainliest

and

Follow me

Answer 2

Therefore the decimal expansion of the given rational number 97 / ( 2 × 54 ) will terminate after 5 decimal places.

Given:

The given rational number = 97 / ( 2 × 54 )

To Find:

The decimal expansion of the rational number 97 / ( 2 × 54 ) will terminate after how many decimal places.

Solution:

The given question can be solved as shown below.

The given rational number = 97 / ( 2 × 54 ) = 97 / 108

After the division is executed the value of the given rational number becomes,

⇒ 97 / 108 = 0.898148148148

It is very clear that after '89' after the decimal point '814' repeats again and again.

So decimal expansion can after terminated at '89814' which means the decimal expansion terminates after 5 decimal places.

Therefore the decimal expansion of the given rational number 97 / ( 2 × 54 ) will terminate after 5 decimal places.

#SPJ3