Question
Without actual division, show that the following rational numbers is a terminating decimal. Express in decimal form:$\frac{17}{320}$
✓
Answer
$\frac{17}{320}=\frac{17}{2^6\times5}=\frac{17\times5^5}{2^6\times5^6}$$=\frac{53125}{1000000}=0.053125$
We know either 2 or 5 is not a factor of 17, 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 17, 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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|
Class
|
13.8-14
|
14-14.2
|
14.2-14.4
|
14.4-14.6
|
14.6-14.8
|
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|
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2
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4
|
15
|
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|
25
|
20
|