Question

The decimal expansion of 23/2^5×5^2 will terminate after how many places of decimal

Answer 1

Answer:

5 decimal places

Step-by-step explanation:

23/(2⁵ * 5²)

Logical Method:

Here, the denominator = (2⁵ * 5²)

This of the form 2ᵃ * 5ᵇ, where a = 5 and b = 2.

Hence, it will be a terminating decimal expansion,

and it will terminate after the higher of m or n places, whichever is greater.

Hence, here, it will terminate after 5 places, as a > b.

Calculation method:

23/(2⁵ * 5²)

= (23*5³)/(2⁵*5⁵)

= (23*125)/10⁵

= 2,875/1,00,000

= 0.02875

Hence, it terminates after 5 decimal places.

Answer 2

this is a correct answer I hope you understand