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Use the distributivity of multiplication of rational numbers over their addition to simplify: -54×[85+1615] - Mathematics

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Question

Use the distributivity of multiplication of rational numbers over their addition to simplify: 

`(-5)/4 xx [8/5 + 16/15]`
Sum

Solution

Given, `(-5)/4 xx (8/5 + 16/15)`

= `(-5)/4 xx 8/5 + ((-5)/4) xx (16/15)`  ...[By using distributive property over addition]

= `-2 - 4/3`

= `(-6 - 4)/3`

= `(-10)/3`

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Chapter 1: Rational Numbers - Exercise 1.6 [Page 32]

APPEARS IN

RD Sharma Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise 1.6 | Q 4.2 | Page 32
NCERT Exemplar Mathematics [English] Class 8
Chapter 1 Rational Numbers
Exercise | Q 111. (b) | Page 20
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