Can someone check my work? : )

(using properties to simplify expressions)

1. 2+5=5+2 exemplifies which property? a= commutative property of addition

2. 2x(7x5)=(2x7)x5 exemplifies which property? a= associative property of multiplication

3. 2(x+y)=2x+2y exemplifies which property? a= distributive property

4. 2z+0+2z exemplifies which property? a= zero property

5. 14x1+14 exemplifies which property? a=identity property of multiplication

6. 13+-13=0 exemplifies which property? a=additive inverse

Explanation is below.

Step-by-step explanation:

Commutative property:

The Commutative property states that order does not matter. Multiplication and addition are commutative.

For example 2+5=5+2 .

Associative property:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

For example 2x(7x5)=(2x7)x5

Distributive property:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

For example 2(x+y)=2x+2y

Zero property of addition:

Zero is the additive identity. Adding zero to a number will not change its value. a + 0 = a.

For example 2z + 0 = 2z

Identity property of multiplication:

Property is that multiplying any number by 1 allows the number to keep its identity.

For example 14 x 1 = 14

Additive inverse:

The additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite, sign change, and negation.

For example 13 + -13 = 0

the radius is 2 times the diameter.

step-by-step explanation: