Question

Match each property with the appropriate example.

Answer 1

Answer:

1. Distrubutive  2. Associative 3. Commutative  4. Identity

Step-by-step explanation:

Answer 2

For this case we have that by definition:

• the distributive property establishes that:

$a (b + c) = ab + ac$

So:

$4 (x-2) = 4x-8$

State the distributive property.

• The associative property states:

$a + (b + c) = (a + b) + c$

So:

$(4 + 2) + 8 = 4 + (2 + 8)$

Enunciates the associative property

• The commutative property establishes that the order of the factors does not alter the product.

$a * b = b * a$

So:

$4 * 2 = 2 * 4$

Enunciates the commutative property

• The Identity property establishes that every number multiplied by 1 gives the same number. So:

$4 * 1 = 4$

State identity property

Answer:

Distributive property

Associative property

Commutative property

Identity property

Answer 3

1. Distributive property 2. Associative property

3. Identity property 4. Commutative property