Which of the following correctly demonstrates the use of the Commutative Property of Multiplication?
A. 4 x 3 = 3 x 4
Which expression correctly demonstrates the Commutative Property of Multiplication?(1 point)
Responses
15⋅(x)⋅4=4⋅15⋅(x)
15 times left parenthesis x right parenthesis times 4 equals 4 times 15 times left parenthesis x right parenthesis
x+4+15=15+4+x
x plus 4 plus 15 equals 15 plus 4 plus x
15(x+4)=15(x⋅4)
15 left parenthesis x plus 4 right parenthesis equals 15 left parenthesis x times 4 right parenthesis
15⋅x⋅4=4+15+x
The Commutative Property of Multiplication states that changing the order of the factors will not change the product. It can be demonstrated with the following example:
a) 3 x 4 = 12
b) 4 x 3 = 12
In this case, both equations show the product of 3 multiplied by 4, which equals 12. The order of the factors (3 and 4) is reversed in equation b) compared to equation a), but the product remains the same. This demonstrates the Commutative Property of Multiplication.
To determine which statement correctly demonstrates the use of the Commutative Property of Multiplication, it is important to understand what this property entails. The Commutative Property of Multiplication states that the order of the factors in a multiplication equation can be changed without affecting the result. In other words, when multiplying two or more numbers, the product will remain the same regardless of the order in which the numbers are multiplied.
Now, let's examine the options given and identify the one that demonstrates the Commutative Property of Multiplication:
1) 9 x 6 = 6 x 9
2) 5 x 4 = 5 x 4 x 5
3) 7 x 8 x 9 = 8 x 7 x 9
4) 2 x 3 x 4 = 2 x 4 x 3
Among these choices, option 1) 9 x 6 = 6 x 9 correctly shows the use of the Commutative Property of Multiplication. It implies that multiplying 9 by 6 is the same as multiplying 6 by 9, and the product will be the same in both cases.
Therefore, the correct answer is option 1) 9 x 6 = 6 x 9.