Respuesta :
Answer:
Commutative property works for addition and multiplication
Step-by-step explanation:
A. ÷
We need to check if [tex]a\div b=b\div a[/tex]
Take a = 4 and b = 2
[tex]a\div b=4\div 2=2\\b\div a=2\div 4=\frac{1}{2}[/tex]
So, [tex]a\div b\neq b\div a[/tex]
Therefore, commutative property does not work for division.
B. -
Take a = 7 and b = 10
[tex]a-b=7-10=-3\\b-a=10-7=3[/tex]
So, [tex]a-b\neq b-a[/tex]
Therefore, commutative property does not work for subtraction
C. +
Take a = 8 and b = 9
[tex]a+b=8+9=17\\b+a=9+8=17[/tex]
So, [tex]a+b\neq b+a[/tex]
Therefore, commutative property works for addition.
D. ×
Take [tex]a=2\,,\,b=3[/tex]
[tex]a\times b=2\times 3=6\\b\times a=3\times 2=6[/tex]
So, [tex]a\times b= b\times a[/tex]
Therefore, commutative property works for multiplication.
So, commutative property works for addition and multiplication.