What is the smallest rational number by which 1 upon 3 should be multiplied so that its decimal expansion terminates after one place of decimal?

The smallest rational number by which`1/3`should be multiplied so that its decimal expansion terminates after one place of decimal, is

  • \[\frac{1}{10}\]

  • \[\frac{3}{10}\]

  • 3

  • 30

Give number is`1/3`. Now multiplying by `3/10` in the given number, we have

`1/3 = 1/3 xx 3/10`

`⇒ 1/3 = 1/10`

`⇒ 1/3 = 0.1`

Concept: Representing Real Numbers on the Number Line

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