Properties of real numbers?? PLZ HELP!!! PLZ!!!!!!!!?

Question

I have like 30 questions like these but ill give an example of one each because i have no clue what im doing!

Name the property of real numbers illustrated by each equation.

Ex. 1) square root of 2 + 0= square root of 2 (sorry could find the square root sign)

Ex. 2) 5/9 * 9/5=1

Ex. 3) square root of 2 * 3=3 * square root of 2

Ex. 4) 3/2 * 2/3 = 1

Ex 5) 2(xy) = (2x)y

i really need help if u could please show me how to do it haven't did it in like 2 years. This is Algebra 2!

Answer 1

1. identity property of addition

2. inverse property of multiplication

3. commutative property of multiplication

4. inverse property of multiplication

5. associative property of multiplication

Answer 2

1) Additive identity

2) Multiplicative inverse

3) Commutative property of multiplication

4) Already answered this

5) Associative property of multiplication