Question

6×(5+3)=(6×5)+(6×3) is an example for _______.
a)distributive of multiplication over addition
b) Associative Property
c) Commutative Property
d) Distributive Property of Addition over Multiplication ​

Answer 1

Answer:

D)Distributive Property of Addition over Multiplication

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Answer 2

6 × (5 + 3) = (6 × 5) + (6 × 3) is an example for distributive of multiplication over addition

Given :

The expression 6 × (5 + 3) = (6 × 5) + (6 × 3)

To find :

6 × (5 + 3) = (6 × 5) + (6 × 3) is an example for

a) distributive of multiplication over addition

b) Associative Property

c) Commutative Property

d) Distributive Property of Addition over Multiplication

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

6 × (5 + 3) = (6 × 5) + (6 × 3)

Step 2 of 2 :

Write down the property Used

Distributive Property of multiplication over addition states that for three numbers a , b , c

$\displaystyle \sf{ a \times (b + c) = (a \times b) + (a \times c) }$

Putting a = 6 , b = 5 , c = 3 then above becomes

6 × (5 + 3) = (6 × 5) + (6 × 3)

So 6 × (5 + 3) = (6 × 5) + (6 × 3) is an example for distributive property of multiplication over addition

Hence the correct option is a) distributive of multiplication over addition

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