Question

Which of the following operations does not hold the commutative property?

• A. Addition and multiplication
• B. Addition and subraction
• C. Multiplication and divison
• D. Divison and subtraction

Answer 1

The correct option is D Divison and subtraction

Commutative property states that if the numbers are interchanged then the result after their binary operation does not affect the final result.
It holds for addition and multiplication only.

Let's take some random number and apply commutative property.
$5\times 3\times 2=5\times 2\times 3=30$
Hence, commutatvie propery is applied in multiplication.

$5+2+3=5+3+2=10$
Hence, commutatvie propery is applied in addition.

$10-4=64-10=-6$
Hence, commutatvie propery cannot be applied to subtraction.

$10÷2=52÷10=\frac{1}{5}$
Hence, commutatvie propery cannot be not applied to divison.

$\therefore$ Option d is the correct answer.