Question

After how many places will the decimal expansion of 189/125 terminate?​

Answer 1

Answer:

3 decimal places

Step-by-step explanation:

189/125= 1.512

Answer 2

Step-by-step explanation:

To find the answer easily,

we factorise 125,

125= 5×5×5=5^3

If there is 2 and 5 are there as the factor then the fraction will definitely terminate.

for that,

189×2^3/5^3×2^3

189×2^3/(10)^3

Through this we can say that,

it will terminate after three decimals.