Without actual division show that 24/125 has a terminating decimal expansion
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24/125 =
24/5³ = 24 × 2³/ 53 x 2³
= 192/1000
= 0.1
We know 5 is not a factor of 23, so it is in
its simplest form.
Moreover, it is in the form of (2m x 5n). Hence, the given rational is terminating.
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