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Evaluate the following, using distributive property. – 39 × 99 - Mathematics

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Question

Evaluate the following, using distributive property.

–39 × 99

Sum

Solution

–39 × 99 = (–40 + 1) × (100 – 1)

= –40 × (100 – 1) + 1 × (100 – 1)

Now, using distributive property,

= (–40 × 100) + (–1 × – 40) + (1 × 100) + (1 × –1)   .....[∵ a × (b + c) = a × b + a × c]

= –4000 + 40 + 100 – 1

= –3861

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Chapter 1: Integers - Exercise [Page 21]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 1 Integers
Exercise | Q 124.(i) | Page 21
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