Write the denominators of the following rational number in $2^{n} 5^{m}$ form where $n$ and $m$ are non-negative integers and then write them in their decimal form.
$\frac{80}{100}$

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Solution

$\frac{80}{100} = \frac{80}{2^{2} * 5^{2}} = \frac{80}{10^{2}} = 0.80$ .
$∴$ The decimal form of $\frac{80}{100} = 0.8$ .

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Question 13
Write the denominator of rational number $\frac{257}{5000}$ in the form $2^{m} \times 5^{n}$ , where m, n are non - negative integers. Hence, write its decimal expansion, without actual division.

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Write the denominators of the following rational number in 2n5m form where n and m are non-negative integers and then write them in their decimal form.80100

80100=8022∗52=80102=0.80.∴ The decimal form of 80100=0.8.

Write the denominators of the following rational number in $2^{n} 5^{m}$ form where $n$ and $m$ are non-negative integers and then write them in their decimal form.
$\frac{80}{100}$

$\frac{80}{100} = \frac{80}{2^{2} * 5^{2}} = \frac{80}{10^{2}} = 0.80$ .
$∴$ The decimal form of $\frac{80}{100} = 0.8$ .