Question

Which property is applied to the expression?
$5\times (3+4)=5\times 3+5\times 4$

• A. Associative Property of multiplication
• B. Commutative property of multiplication
• C. Distributive property of multiplication
• D. None of these

Answer 1

The correct option is C Distributive property of multiplication

The distributive property of multiplication states that when a number is multiplied with sum of two numbers, the number gets equally distributed to both the numbers inside the bracket.

Step 1: Distribute the number 5 to both the numbers inside the bracket.
$5\times (3+4)=(5\times 3)+(5\times 4)$

Step 2: multiply the individual numbers.
$(5\times 3)+(5\times 4)=15+20$

Step 3 : add the numbers
$15+20=35$

Let's check if it's true.
$5\times (3+4)=5\times 7=35$
$5\times (3+4)=(5\times 3)+(5\times 4)=35$

In both the cases we get the same result as 35.
Hence, the given expression follows distributive property of multiplication.