Question

how do i know which one is commutative, associative, identity inverse or distributive property?
1.) 8+(9-7)=(8+9)-7
2.) (8/5)(5/8)=1
3.) 11(2x+y)=22x+11y

Answer 1

Commutative Property deals with order. If the order of the numbers has not changed, it is not commutative. So #1 could not be commutative because on the left you have 8 9 -7 and on the right you have 8 9 -7 all in the same order.

Answer 2

The Associative Property, on the other hand, deals with pairing. In # 1, on the left the 9 and -7 are grouped together by the parenthesis. On the right the 8 and 9 are grouped together. So the pairing has been changed and it is the Associative Property that allows that.

Answer 3

i got is

Answer 4

*it

Answer 5

In #2, you multiply 2 numbers and get 1. One is the identity element for multiplication because when you multiply something by 1, it keeps the same identity. So #2 is multiplicative inverse property.

Answer 6

1 is retrice
2.inv.
3.dist

Answer 7

:)