Which Property is illustrated by the statement?
7x(4) = (7x )4
Associative Property of Multiplications
Associative Property of Addition
Commutative Property of Addition
Commutative Property of Multiplication
Commutative Property of Multiplication
The property illustrated by the statement "7x(4) = (7x)4" is the Commutative Property of Multiplication.
To understand this property, we need to know what commutative means. In mathematics, "commutative" refers to operations that can be done in any order without changing the result.
The Commutative Property of Multiplication states that when multiplying two numbers, the order in which you multiply them does not affect the result. In other words, you can change the order of the factors without changing the product.
In the given statement, we have 7x(4) on the left side of the equation. This means we are multiplying the number 7x by 4. On the right side of the equation, we have (7x)4, which means we are multiplying the number 7x by 4 as well.
Since multiplication is commutative, we can rearrange the factors without changing the product. Therefore, 7x(4) is equal to (7x)4, and this illustrates the Commutative Property of Multiplication.