Question
Without actual division, find the following rational numbers are terminating decimals.
$\frac{13}{80}$
$\frac{13}{80}$
✓
Answer
$\frac{13}{80}$
Denominator of $\frac{13}{80}$ is $80 .$
And,
$80=2^4 \times 5$
Therefore, $80$ has no other factors than $2$ and $5 .$
Thus, $\frac{13}{80}$ is a terminating decimal.
Denominator of $\frac{13}{80}$ is $80 .$
And,
$80=2^4 \times 5$
Therefore, $80$ has no other factors than $2$ and $5 .$
Thus, $\frac{13}{80}$ is a terminating decimal.
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