Question

Commutative property is true for ______ of integers.

• A. addition
• B. subtraction
• C. multiplication
• D. division

Answer 1

Answer: (A), (C)

multiplication

A binary operation is commutative if changing the order of the operands does not change the result.

Take two integers $10,5$

For addition:
$10+5=5+10=15$
$\therefore$ Commutative property is true for addition of integers.

For subtraction:
$10-5=55-10=-5\Rightarrow 10-5\ne 5-10$
$\therefore$ Commutative property is not true for subtraction of integers.

For multiplication:
$10\times 5=5\times 10=50$
$\therefore$ Commutative property is true for multiplication of integers.

For division:
$10÷5=25÷10=\frac{1}{2}\Rightarrow 10÷5\ne 5÷10$
$\therefore$ Commutative property is not true for division of integers.