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Associative Property

7 × 5 + 8 = 7...

Question

7 × ( 5 + 8 ) = ( 7 × 5) + ( 7 × 8) can be explained by which of the following properties?

A

Associative property

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B

Closure property

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C

Distributive property

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D

Commutative property

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Solution

The correct option is C Distributive property
The distributive property of multiplication over addition states that:
a × ( b + c ) = ( a × b) + ( a × c )

Hence option ‘c’ is correct.

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Similar questions

Q. Simplify the following using properties.

\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{9}{7} + \frac{- 5}{16}

Q. Which property of multiplication is illustrated by :

\frac{- 4}{3} \times (\frac{- 6}{5} + \frac{8}{7}) = (\frac{- 4}{3} \times \frac{- 6}{5}) + (\frac{- 4}{3} \times \frac{8}{7})

Q. Name the property of multiplication illustrated by

\frac{- 4}{3} \times (\frac{6}{5} + \frac{8}{7}) = (\frac{- 4}{3} \times \frac{6}{5}) + (\frac{- 4}{3} \times \frac{8}{7})

Q. Which property is illustrated by the following statement?

(3 + 7) + 8 = 3 + (7 + 8)

Q. How many 7's are there in the following series which are preceded by 6 which is not preceded by 8 ?
8 7 6 7 8 6 7 5 6 7 9 7 6 1 6 7 7 6 8 8 6 9 7 6 8 7

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