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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

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प्रश्न

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

पर्याय

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

  • \[\frac{3}{100}\]
MCQ

उत्तर

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).

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Real Numbers - Exercise 1.8 [पृष्ठ ६०]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 1 Real Numbers
Exercise 1.8 | Q 20 | पृष्ठ ६०

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