Question

Do the law of order and the law of grouping apply to division?

Answer 1

Yes it does apply to that

Answer 2

→Law of order has other name Commutative property.Commutative property does not go well with operation Division.

  $\frac{x}{y} \neq \frac{y}{x}$

→Law of grouping is also Known as Associative property.Three numbers a,b and c does not satisfy Associative property with respect to division.That is

  → (a÷b)÷c≠a÷(b÷c)

 $\rightarrow \frac{a}{b} \times \frac{1}{c}\neq a \times \frac{c}{b}\\\\\rightarrow \frac{a}{bc}\neq\frac{ac}{b}$

→So,Both law of order and the law of grouping does not work with Operation division.