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Tell which property allows you to compare 23×[34×57] and [23×57]×34 - Mathematics

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Question

Tell which property allows you to compare

`2/3 xx [3/4 xx 5/7]` and `[2/3 xx 5/7] xx 3/4`

Sum

Solution

`2/3 xx [3/4 xx 5/7] = 2/3 xx (5/7 xx 3/4)`  ...[By commutative property over multiplication]

= `(2/3 xx 5/7) xx 3/4`   ...[By associative property over multiplication]

Hence, `2/3 xx (3/4 xx 5/7)` can be compared with `(2/3 xx 5/7) xx 3/4` with the help of associative and commutative property.

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Chapter 1: Rational Numbers - Exercise [Page 21]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise | Q 123. | Page 21

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