Question

The Commutative Property does not work for which operations? Check all that apply. A. B. - C. + D. x

Answer 1

Its division and subtraction

Answer 2

Answer:

Commutative property works for addition and multiplication

Step-by-step explanation:

A. ÷

We need to check if $a\div b=b\div a$

Take a = 4 and b = 2

$a\div b=4\div 2=2\\b\div a=2\div 4=\frac{1}{2}$

So, $a\div b\neq b\div a$

Therefore, commutative property does not work for division.

B. -

Take a = 7 and b = 10

$a-b=7-10=-3\\b-a=10-7=3$

So, $a-b\neq b-a$

Therefore, commutative property does not work for subtraction

C. +

Take a = 8 and b = 9

$a+b=8+9=17\\b+a=9+8=17$

So, $a+b\neq b+a$

Therefore, commutative property works for addition.

D. ×

Take $a=2\,,\,b=3$

$a\times b=2\times 3=6\\b\times a=3\times 2=6$

So, $a\times b= b\times a$

Therefore,  commutative property works for multiplication.

So, commutative property works for addition and multiplication.