Question

the number of decimal places after which the decimal expansion of the rational number 23/2²(5) will terminate is. a-1. b-2. c-3. d-4.

Answer 1

Hi ,

23 / ( 2² × 5 )

= ( 23 × 5 ) / ( 2² × 5² )

= 115 / ( 10 )²

= 1.15

option ( b ) is correct

I hope this helps you.

:)

Answer 2

Given:

⇒  $\frac{23}{2^2(5)}$

To Find:

Expansion of the given number = ?

Solution:

⇒  $\frac{23}{2^2(5)}$

By opening the squares, we get

⇒  $\frac{23}{2\times 2\times 5}$

⇒  $\frac{23}{4\times 5}$

⇒  $\frac{23}{20}$

⇒  $1.15$

So that the correct expansion of the given number will be "1.15".