16x + 5y = 5y + 16x
(1 point)
Responses
Commutative Property of Addition
Commutative Property of Addition
Zero Property of Addition
Zero Property of Addition
Identity Property of Addition
Identity Property of Addition
Associative Property of Addition
Associative Property of Addition
16x + 5y = 5y + 16x
(1 point)
Responses
Commutative Property of Addition
Commutative Property of Addition
Zero Property of Addition
Zero Property of Addition
Identity Property of Addition
Identity Property of Addition
The equation 16x + 5y = 5y + 16x shows the commutative property of addition. This property states that the order of the terms does not affect the result of addition. In this case, both sides of the equation have the same terms: 16x and 5y. Therefore, the equation is an example of the commutative property of addition.
The equation 16x + 5y = 5y + 16x shows that the terms on both sides of the equation are the same. This means that the equation is balanced, and any value of x and y can satisfy this equation.
To see why this is the case, let's break down the equation step by step:
16x + 5y: This represents the sum of 16x and 5y.
5y + 16x: This represents the sum of 5y and 16x.
Both expressions represent the same sum, but with the terms rearranged.
This demonstrates the Commutative Property of Addition, which states that the order in which numbers are added does not affect the result. In other words, changing the order of the terms being added does not change their sum.
So, the answer to this question is: Commutative Property of Addition.