Which property is shown by the following statement?
3 × (9 + 6) = 3 × 9 + 3 × 6
A. The Associative Property of Multiplication
B. The Identity Property of Multiplication
C. The Distributive Property
D. The Identity Property of Addition
And clearly you need to,
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The property shown by the statement "3 × (9 + 6) = 3 × 9 + 3 × 6" is C. The Distributive Property.
The property shown by the given statement is the Distributive Property.
To understand why, let's break down the statement into its parts:
On the left-hand side of the equation, we have 3 multiplied by the sum of 9 and 6, which is represented as 3 × (9 + 6). This can be simplified as follows:
3 × (9 + 6) = 3 × 15
= 45
On the right-hand side of the equation, we have the distribution of multiplication over addition. Here, we have 3 multiplied by 9 and 3 multiplied by 6, which can be expressed as:
3 × 9 + 3 × 6 = 27 + 18
= 45
Since the left-hand side and the right-hand side of the equation are equal, we can conclude that the Distributive Property holds true in this case.
Therefore, the correct answer is C. The Distributive Property.
C
Clearly you need to review the topic.