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Simplify the following by using suitable property. Also name the property. -35×{37+(-56)} - Mathematics

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Question

Simplify the following by using suitable property. Also name the property.

`(-3)/5 xx {3/7 + ((-5)/6)}`

Simplify

Solution

Given, `(-3)/5 xx {3/7 + ((-5)/6)}`

= `(-3)/5 xx 3/7 + ((-3)/5) xx ((-5)/6)`  ...[Using distributive property of multiplication over addition]

= `(-9)/35 + 15/30`

= `(-54 + 105)/210`

= `51/210`

= `17/70`

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Chapter 1: Rational Numbers - Exercise [Page 19]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise | Q 106. (c) | Page 19
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