Question

write the denominator of the rational numbers 317 upon 500 in the form 2 raise to m × 5 raise to n , where m and n are non negative integers hence, write its decimals expansion without actual division.​

Answer 1

Answer:

Your Answer

The fraction 257/5000

Since the denominator is 5000,

The factors for 5000 are:

5000=2×2×2×5×5×5×5

=23×54

257/5000=257/(23×54)

It is a terminating decimal.

So,

Let us multiply both numerator and denominator by 2, we get

257/5000=(257×2)/(5000×2)

=514/10000

=0.0514

Explanation:

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Answer 2

The denominator of the rational number

$\small \bold{ \frac{317}{500} \: in \: the \: form \:{2}^{m} \times {5}^{n} \: , where m,n are}$

$\small \bold{are \: non-negative \: integers \: {2}^{2} and \: {5}^{3} }$

$\frac{317}{500} = 0.634$

$\frac{317}{ {2}^{2} {5}^{3} } = 0.634$