Question

The decimal expansion of the rational number 51/ 2^3*5^4 will terminate after how many decimal places​
(a) 3
(b) 4
(c) 5
(d) 1

Answer 1

Answer:

b)4

51/2³×5⁴

multiply by 2 both numerator and denominator

51×2/2³×5⁴×2

102/2⁴×5⁴

102/(2×5)⁴

102/10⁴

102/10000

0.0102