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Question

# Which of these illustrates the associative property of multiplication?

A
(4×5)×6=4×(5×6)
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B
(4+5)×6=(4×6)+(5×6)
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C
4×(56)=(45)×6
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D
4+5=5+4
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Solution

## The correct option is A (4×5)×6=4×(5×6)Addition and multiplication, both are associative for whole numbers. ie, (a+b)+c=a+(b+c) (a×b)×c=a×(b×c) So, (4×5)×6=4×(5×6) illustrates associative property of multiplication. But (4+5)×6=(4×6)+(5×6) It is in the form (a+b)×c=(a×c)+(b×c)⇒ Distributive property 4×(56)≠(45)×6 4+5=5+4 It is in the form a+b=b+a⇒ Commutative property.

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