People good at math? help??

Question

Im suppose to use a counterexample to show that DIVISION IS NOT commutative ( the property)

Answer 1

2/3 does not equal 3/2

Answer 2

The Commutative Law holds true for addition and multiplication, however incase of division a possible example could be as follows,

Commutative Law is given by :A+B = B+A or A*B = B*A

Let A = 3, B = 6 then, A+B=B+A = 3+6=6+3 = 9 = 9
and for multiplication, A*B=B*A = 3*6=6*3 = 18=18

Incase of division, A/B does not equal B/A as shown,
3/6 not equal to 6/3 since 3/6 = 1/2 and 6/3 = 2!

Answer 3

a+b = b+a = commutative property of addition
ab = ba = commutative property of multiplication
a/b = b/a would be the commutative property of division
let a = 1 and b= 2
Then 1/2 not equal 2/1. Thus there is no commutative property of division.

Answer 4

10÷5 is not equal to 5÷10 because 10÷5=2 and 5÷10=1/2 or 0.5. This is because 10 divided by 5 is 10/5 and 5÷10 is 5/10.