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Question

Compute and choose the relations that are correct.


A

5×(8+10)=10×(8+5)

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B

12×(63)=(12×6)(12×3)

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C

(8+10)×15>8+(10×15)

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D

(11)×(3)×(2)=66

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Solution

The correct options are
B

12×(63)=(12×6)(12×3)


C

(8+10)×15>8+(10×15)


(A) 5×(8+10)=5×8+5×10
(using distributivity of multiplication over addition)

So, 5×(8+10)10×(8+5)

(B) 12×(63)=(12×6)(12×3)

This is the correct law of distributivity of multiplication over subtraction.

(C) (8+10)×15>8+(10×15)

Here, (8+10)×15=18×15=270
8+(10×15)=8+150=158

So, this is correct.

(D) (11)×(3)×(2)

=11×3×2=66

So, (11)×(3)×(2)66

[When we multiply 2 negative numbers, we get a positive number. So, answer should be 66 instead of (66)]


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