Pollard Nguyen
06/28/2023 · Senior High School
Which of the following demonstrates the commutative property across multiplication for \( 2 \times 10 \times 7 \) A) \( 2+10 \times 7 \) B) \( 2 \times 10) \times 7 \) C) \( 2 \times(10 \times 7) \) D) \( 10 \times 7 \times 2 \) (D)
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Step-by-step Solution
The commutative property of multiplication states that changing the order of the factors does not change the product. In other words, \( a \times b = b \times a \).
For the expression \( 2 \times 10 \times 7 \), we can rearrange the factors in any order and the product will remain the same.
Let's analyze the options:
A) \( 2 + 10 \times 7 \) - This does not demonstrate multiplication and is not relevant to the commutative property.
B) \( (2 \times 10) \times 7 \) - This shows the associative property, not the commutative property.
C) \( 2 \times (10 \times 7) \) - This also shows the associative property, not the commutative property.
D) \( 10 \times 7 \times 2 \) - This rearranges the factors of the original expression \( 2 \times 10 \times 7 \) and demonstrates the commutative property.
Therefore, the correct answer that demonstrates the commutative property across multiplication for \( 2 \times 10 \times 7 \) is:
**D) \( 10 \times 7 \times 2 \)**.
Quick Answer
The correct answer is D) \( 10 \times 7 \times 2 \).
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