Match each property with the appropriate example.




1.
4(x - 2) = 4x - 8

2.
(4+2) + 8 = 4 + (2+8)

3.
4 * 2 = 2 * 4

4.
4 * 1 = 4



a.
Commutative property

b.
Distributive property

c.
Associative property

d.
Identity property

Respuesta :

Answer:

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

Step-by-step explanation:

1. Distributive property 2. Associative property

3. Identity property 4. Commutative property

For this case we have that by definition:

  • the distributive property establishes that:

[tex]a (b + c) = ab + ac[/tex]

So:

[tex]4 (x-2) = 4x-8[/tex]

State the distributive property.

  • The associative property states:

[tex]a + (b + c) = (a + b) + c[/tex]

So:

[tex](4 + 2) + 8 = 4 + (2 + 8)[/tex]

Enunciates the associative property

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

[tex]a * b = b * a[/tex]

So:

[tex]4 * 2 = 2 * 4[/tex]

Enunciates the commutative property

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

[tex]4 * 1 = 4[/tex]

State identity property

Answer:

Distributive property

Associative property

Commutative property

Identity property