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Name the property that the following statement illustrates.

54 X pi = pi X 54
Choose the correct property below.
A. Identity property of multiplication
B. Associative property of multiplication
C. Commutative property of multiplication
D. Identity property of addition
E. Associative property of addition
F. Commutative property of addition

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Answer:

C, Commutative property of multiplication.

Explanation:

Our equation: 54 · pi = pi · 54

We can eliminate three answers already just by looking at what each property is used of.

Since this clearly demonstrates multiplication, we can get rid of the three answers that state it's the ___ property of "addition".

So, D, E, and F are off the answers.

Now, we are left with A, B, and C.

I'll remind you what each property stands for:

Associative property:

"The product of three or more numbers that remains the same regardless of how the numbers are grouped." (cuemath)

Example: q · (r · s) = s · (r · q)

The keyword is three.

For either side there has to be three or more numbers.

Let's cross off associative property.

Identity property:

"When any number is combined with 1, the end result will be the number itself." (cuemath)

Example: 1 · b = b

Since no numbers of this equation are being combined with 1, we can cross off this property.

Commutative property:

When you change the order of numbers or rearrange them on either or both sides of the equation, the answers will stay the same. Also, the commutative property is not true for subtraction and division, but for solely multiplication and addition.

Example: b · c = c · b

Now, we can clearly see that the answer most accurate would be C, Commutative property of multiplication.

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