Question

2nd question

Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.

• 31/(2²×5³)

Hi! Sourabhk178​

Answer 1

Answer:

$\huge\boxed{\fcolorbox{red}{pink}{Your's Answer}}$

$\red {QUESTION}$

Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.

• 31/(2²×5³)

$\green {ANSWER}$

Given,

$\frac{31}{( {2}^{2} \times {5}^{3} ) }$

$= ( {2}^{2} \times {5}^{3} ) = ( {2}^{m} \times {5}^{n} )$

$= \frac{31 \times 2}{( {2}^{3} \times {5}^{3} ) }$

$= \frac{62}{( {2 \times 5})^{3} }$

$= \frac{62}{( {10})^{3} }$

$= \frac{62}{1000}$

$= 0.062</em><em> </em><em>\</em><em>:</em><em> </em><em>Answer</em><em>:</em><em>-</em><em>$

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Answer 2

Answer:

Refers to the attachment....