Question

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

Answer 1

Because is easy to solve the problems when you break them with parantheses.

Explanation:

Answer 2

Since we know that law of order states that sum or product of any two specific numbers will be same irrespective to their order.
`a+b=b+a` and
`a*b=b*a` .

Law of order is only applicable for addition and multiplication. It is not applicable to subtraction and division. Let us see it by an example.

`50-25\\eq25-50`

`25\\eq-25`

Law of grouping states that it does not matter how to order a group of numbers while adding or multiplying.
`a+(b+c)=(a+b)+c` and
`a*(b*c)=(a*b)*c`.

Law of grouping is not applicable to subtraction and division. Let us see it by an example.

`15-(5-3)\\eq(15-5)-3`

`15-(2)\\eq(10)-3`

`13\\eq7`

Therefore, we can see that law of order and law of grouping is not applicable to subtraction.