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Is 0.3 the Multiplicative Inverse of 3 1by3 ? Why Or Why Not? - Mathematics

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Question

Is 0.3 the multiplicative inverse of 3 `1/3` ? Why or why not?

Solution 1

`3 1/3 = 10/3`

`0.3 xx 3 1/3 = 0.3 xx 10/3 = 3/10 xx 10/3 = 1`

Here, the product is 1. Hence, 0.3 is the multiplicative inverse of `3 1/3`

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Solution 2

`3 1/3 = 10/3 = 3.3`

`3.3 xx 0.3 = 0.99 != 1`

∴ 0.3 si not the multiplicative inverse of `3 1/3`

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Chapter 1: Rational Numbers - Exercise 1.1 [Page 14]

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NCERT Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise 1.1 | Q 9 | Page 14

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