Question

3(4c + 5) = (3.4c) + (3.5) is an example of which property

a) Commutative property
b) Distributive property
c) Inverse Operation property
d) Multiplication property

Answer 1

Answer: B) Distributive property

Explanation:

Definition:

- Commutative property: a+b=b+a

- Distributive property: a(b+c)=ab+ac

- Inverse operation property:

• In Addition: a+(-a)=0
• In Multiplication: a×(1/a)=1

- Multiplication property: If a=b, a×c=b×c

Solve:

GIven

3(4c+5)=(3·4c)+(3·5)

This is distributive property because it is distributing 3 to each of the numbers in the parenthesis.

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