Which Property is illustrated by the statement?
8x + 5 = 5 + 8x
Associative Property of Multiplications
Associative Property of Addition
Commutative Property of Addition
Commutative Property of Multiplication
Commutative Property of Addition
The property illustrated by the statement 8x + 5 = 5 + 8x is the Commutative Property of Addition.
To understand why, let's break it down step by step:
First, let's examine the statement: 8x + 5 = 5 + 8x.
The Commutative Property of Addition states that the order of the numbers being added does not affect the sum. In other words, you can add two numbers in any order, and the result will be the same.
In this case, both sides of the equation have the same terms: 8x and 5. However, on the left side, 8x is added to 5, and on the right side, 5 is added to 8x. The order of addition has been switched, but the equation still holds true. This is why we can say that the statement 8x + 5 = 5 + 8x illustrates the Commutative Property of Addition.
In contrast, the Associative Property of Addition refers to grouping numbers when adding, which is not applicable in this equation since there are only two terms being added together.
The properties of the Commutative Property of Multiplication and Associative Property of Multiplication deal with multiplication operations, not addition. Therefore, they are not relevant to this equation.
In summary, the correct property illustrated by the statement 8x + 5 = 5 + 8x is the Commutative Property of Addition.