Question

Without actually performing the long division the terminating decimal
expansion 51/1500 is in the form 17/ 2n

x 5m then (m+n) is equal to

a) 2 b) 3 c) 5 d) 8

Answer 1

c)5

51/1500 = 17/500

= 17/ 2^2 × 5^3

{as we can 500 in the form of 2^2 ×5^3}

then, m+n = 2 +3 since m = 2 and n = 3

= 5