Question

After how many places of decimal.the decimal expansion of the rational number 39/625×6 will terminate ?

Answer 1

Thank you for asking this question. Here is your answer:

625 = 5⁴

Or we can probably multiply both sides by 2⁴

625 x 2⁴ = 5⁴ x 2⁴

We know that the power of 5 is 2 and 4 respectively.

In this situation the decimal expansion will terminate after 4 places.

If there is any confusion please leave a comment below.