Which one of the following has a terminating decimal expansion?
If a rational number
(q≠0) can be expressed in the form
, where p ∈ Z, and m,n ∈ W, then the rational number will have a terminating decimal expansion.
Otherwise, the rational number will have a non-terminating and recurring decimal
expansion.
Now, 32 = 25 × 50 Hence, it has terminating decimal expansion.Hence, option A is correct.
Option B is incorrect ∵ 9 = 32 and it cannot be expressed in the form 2m × 5n.
Option C is incorrect ∵ 15 = 3 × 5 and it cannot be expressed in the form 2m × 5n.
Option D is incorrect ∵ 12 = 3 × 22 and it cannot be expressed in the form 2m × 5n.
Hence, only option A is correct.
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
form of