So according to the commutative property for multiplication:
$a \times b = b \times a$
However this does not hold for division
$a \div b \neq b \div a$
Why is it that in the following case:
$56 \times 100 \div 8 = 56 \div 8\times 100$
It seems like division is breaking the rule. There is something I am misunderstanding here.
Is it because $a\times b\div c=a\div c\times b$ is allowed since $b\div c$ are not being rearranged so that $c\div b$?
If this is the case are you allowed to rearrange values in equations so long as no values have the form $a \div b = b \div a$ and $a - b = b -a$ ?