Question
Which equation shows the Commutative Propenty of Multiplication?
Ask by Turnbull Guerrero. in the United States
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
None of the options correctly show the Commutative Property of Multiplication.
Solution
The Commutative Property of Multiplication states that changing the order of the factors does not change the product. In mathematical terms, this can be expressed as:
Now, let’s analyze each option:
-
A.
This equation demonstrates the identity property of multiplication, not the commutative property. -
B.
This equation does not illustrate the commutative property because it does not show that the order of multiplication is interchangeable. -
C.
This equation involves subtraction and does not demonstrate the commutative property of multiplication. -
D.
This equation shows multiplication as repeated addition, but it does not illustrate the commutative property.
None of the options explicitly show the commutative property of multiplication. However, if we were to consider a correct example, it would look like
.
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Mind Expander
The equation that shows the Commutative Property of Multiplication is option B:
. This property states that changing the order of the factors does not change the product. So, whether you multiply 8 by 5 or 5 by 8, you end up with the same result!
To illustrate this concept further, let’s consider a practical example. If you’re making bags of candies and decide to put 5 candies in each of 8 bags, you’ll end up with 40 candies. But if you decide to group them differently by putting 8 candies in each of 5 bags, you’ll still have 40 candies. That’s the magic of multiplication and the commutative property in action!