Question

choose the property of real numbers that justifies the equation.
$(6 + n)\cdot 4 = 6\cdot 4 + n\cdot 4$ select
$8\cdot (9\cdot b) = (8\cdot 9)\cdot b$ select
$1\cdot 5 = 5$ select
$-3 + 3 = 0$ select

Explanation:

1. For $(6 + n)\cdot4 = 6\cdot4 + n\cdot4$, the equation distributes multiplication over addition, which matches the distributive property.
2. For $8\cdot(9\cdot b) = (8\cdot9)\cdot b$, the grouping of factors is changed without altering the product, which is the associative property of multiplication.
3. For $1\cdot5 = 5$, multiplying a number by 1 leaves it unchanged, which is the multiplicative identity property.
4. For $-3 + 3 = 0$, adding a number and its opposite gives 0, which is the additive inverse property.

Answer:

1. Distributive Property
2. Associative Property of Multiplication
3. Multiplicative Identity Property
4. Additive Inverse Property