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Question
Without doing any actual division, find which of the following rational numbers have terminating decimal representation: `23/125`
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Solution
Given number is `23/125`
Since 125 = 5 × 5 × 5 = 53 = 20 × 53
I.e. 125 can be expressed as 2m × 5n
∴ `23/125` is convertible into the terminating decimal.
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