Question

state whether the following rational numbers are terminating or non terminating repeating decimal 16/125 ​

Answer 1

Step-by-step explanation:

16/125

Prime factors of 125 are: 5*5*5 - 5³

∴ 125 can be written in the form of $2^{n}$*$5^{n}$

= 16/5³

As there is no 2 power we will multiply both the numerator and denominator by 2³.

= 16*2³/5³*2³

= 16*8/ $10^{6}$

= 128/$10^{6}$

= 0.000128

∴ It is a terminating decimal.

Hope this helped!  :)