Question
Without actual division, show that the following rational numbers is a terminating decimal. Express in decimal form:$\frac{171}{800}$
✓
Answer
$\frac{171}{800}=\frac{171}{2^5\times5^2}=\frac{171\times5^3}{2^5\times5^5}$$=\frac{21375}{100000}=0.21375$
We know either 2 or 5 is not a factor of 171, so it is in its simplest form.
Moreover, it is in the form of ($2^m\times 5^n).$
Hence, the given rational is terminating.
We know either 2 or 5 is not a factor of 171, so it is in its simplest form.
Moreover, it is in the form of ($2^m\times 5^n).$
Hence, the given rational is terminating.
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