Question

write 32/125 as a fraction with the denominator as a power of 10.​

Answer 1

Given :

$\frac{32}{125}$

To find :

$\frac{32}{125}\ =\ denomination\ as \ power\ of\ 10$

Solution :

$\frac{32}{125}$

multiply numerator and denominator by 8 we get

$\frac{32\ *8}{125\ *\ 8} \\\\=\ \frac{256}{1000} \\\\=\ \frac{256}{10^{3} }$

as we seen that the denominator is the power of 10 we get  

Answer 2

$\huge\sf\pink{Answer}$

☞ Fraction = $\sf\dfrac{256}{1000}$

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$\huge\sf\blue{Given}$

✭ $\sf\dfrac{32}{125}$

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$\huge\sf\gray{To\: Show}$

◈ It as a fraction with denominator $\sf 10^n$

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$\huge\sf\purple{Steps}$

So here we shall first divide 1000 by 125

➳ $\sf \dfrac{1000}{125}$

➳ $\sf\red{8}$

So now we have to multiply both numerator and denominator with 8

➝ $\sf 32 \times 8 = 256$

➝ $\sf 125 \times 8 = 1000$

So then the fraction becomes

➢ $\sf\orange{\dfrac{256}{1000}$

Verification

➠ $\sf\dfrac{256}{1000}$

➠ $\sf{0.256}$

Similarly,

➠ $\sf \dfrac{32}{125}$

➠ $\sf{0.256}$

Therefore they are equal!!

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