Which property is
7
(
4
+
8
)
=
7
(
4
)
+
7
(
8
)
an example of?
Associative Property
Associative Property
Commutative Property
Commutative Property
Distributive Property
Distributive Property
Multiplicative Inverse Property
try that again, this time so we can read it.
The property that the equation 7(4 + 8) = 7(4) + 7(8) represents is the Distributive Property.
The property demonstrated by the equation 7(4 + 8) = 7(4) + 7(8) is the Distributive Property.
To understand this, let's break down the equation:
- On the left side, we have 7 multiplied by the sum of 4 and 8, which is represented as 7(4 + 8).
- On the right side, we have 7 multiplied by 4 and 7 multiplied by 8, which is represented as 7(4) + 7(8).
The Distributive Property states that when you multiply a number by a sum in parentheses, you can distribute the multiplication to each term inside the parentheses. In other words, you can multiply the number by each term inside the parentheses separately.
In the given equation, the Distributive Property allows us to distribute the multiplication of 7 to both 4 and 8 individually. This results in the equation being equivalent on both sides. Therefore, the equation 7(4 + 8) = 7(4) + 7(8) exemplifies the Distributive Property.