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Give Two Rational Numbers Lying Between 0.232332333233332... and 0.212112111211112. - Mathematics

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प्रश्न

Give two rational numbers lying between 0.232332333233332... and 0.212112111211112.

उत्तर

Let 

a = 0.232332333233332...

b = 0.212112111211112...

Here the decimal representation of a and b are non-terminating and non-repeating. So we observe that in first decimal place of a and b have the same digit 2 but digit in the second place of their decimal representation are distinct. And the number a has 3 and b has 1. So a > b.

Hence two rational numbers are 0.222, 0.221 lying between 0.232332333233332... and 0.212112111211112...

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अध्याय 1: Number Systems - Exercise 1.4 [पृष्ठ ३१]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 1 Number Systems
Exercise 1.4 | Q 6 | पृष्ठ ३१

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