The smallest rational number by which $\frac{1}{3}$ should be multiplied so that its decimal expansion terminates after one place of decimal is:

$\frac{1}{10}$

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$\frac{3}{10}$

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Solution

The correct option is B
$\frac{3}{10}$

If $\frac{1}{3}$ be multiplied by $\frac{3}{10}$ , then we get

$\frac{1}{3} \times \frac{3}{10}$ = $\frac{1}{10}$ = 0.1

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Q. The smallest rational number by which

\frac{1}{3}

should be multiplied so that its decimal expansion terminates after one place of decimal, is

(a)

\frac{3}{10}

(b)

\frac{1}{10}

\frac{3}{100}

Q. I have already asked this doubt and i hv got the answer but i did not understand. So could u please explain it thoroughly as i lost my mark in this question.

Find the smallest rational number by which 1/3 should be multiplied so that its decimal expansion terminates after one place of decimal.

Q. The decimal expansion of the rational number

\frac{14587}{1250}

will terminate after

(a) one decimal place
(b) two decimal place
(c) three decimal place
(d) four decimal place

Q. The decimal expansion of the rational number

\frac{14587}{1250}

will terminate after :

(a) one decimal places (b) two decimal places
(c) three decimal place (d) four decimal places

Represent 0.555555… in a rational form. What is the smallest natural number by which you should multiply the obtained fraction, so that it becomes a terminating decimal. [ 4 MARKS]

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The smallest rational number by which 13 should be multiplied so that its decimal expansion terminates after one place of decimal is:

The correct option is B 310 If 13 be multiplied by 310, then we get 13×310 = 110 = 0.1

The smallest rational number by which $\frac{1}{3}$ should be multiplied so that its decimal expansion terminates after one place of decimal is:

The correct option is B
$\frac{3}{10}$

If $\frac{1}{3}$ be multiplied by $\frac{3}{10}$ , then we get

$\frac{1}{3} \times \frac{3}{10}$ = $\frac{1}{10}$ = 0.1