Question

if you're a genius Answers this.... if the denominator of a fraction is in the form 2 power n and 5 power m, then what is the decimal expansion of 1 if it equals 1 / 2power0* 5power0​

Answer 1

Answer:

SOLUTION:

19/125

Here, the factors of the denominator 125 are 5³ × 2^0  , which is in the form 2ⁿ 5^m .

So , 19/125 has terminating decimal expansion.

Now,

19/ 125 = 19 × 2³ / 5³ ×2³

[Make the denominator in the power of 10]

19/125 = 19 × 8 /(10)³

19/125 = 152/1000 = 0.152

Hence, 0.152 is the decimal expansion of 19/125.

HOPE THIS WILL HELP YOU

Step-by-step explanation: