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Question
–35 × 107 is not same as ______.
Options
–35 × (100 + 7)
(–35) × 7 + (–35) × 100
–35 × 7 + 100
(–30 – 5) × 107
Solution
– 35 × 107 is not same as – 35 × 7 + 100.
Explanation:
–35 × 107 = –35 × (100 + 7) = (–35) × 100 + (–35) × 7 ......[Using distributive property, i.e. a × (b + c) = a × b + a × c]
= (–35) × 7 + (–35) × 100 ......[As addition is commutative, i.e. a + b = b + a]
Also, –35 × 107 = (–30 – 5) × 107 ......[∴ (–30 – 5) = (–35)]
Hence, –35 × 107 is not same as –35 × 7 + 100.
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