Question

find decimal expansion of
23 / 2^3 × 5 without actual division .​

Answer 1

denominator of given expression is 2³5². to make it multiple of 10, we have to multiply with 5. it can be done when we multiply and divide by 5. it is clear that decimal expansion of 23/2³5² will terminate and it terminates after three digits and it is 0.115.