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The Smallest Rational Number by Which 1 3 Should Be Multiplied So that Its Decimal Expansion Terminates After One Place of Decimal, is - Mathematics

MCQ

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

Options

  • \[\frac{3}{10}\]
  • \[\frac{1}{10}\]
  • 3

  • \[\frac{3}{100}\]
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Solution

For terminating the decimal expansion after one place of decimal, the highest power of m and n in `2^mxx5^n` should be 1.

Let m=n=1

We will get:

`1/3xx3/10=1/10`

`= 0.1`

Thus, it is evident that we multiplied it by `3/10`

Hence, the correct choice is (a).

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Q 20 | Page 60
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