Question

Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two days. One expression for the total miles he will run is 12+y+17+z. Use the Commutative Property to write an equivalent expression.

Answer 1

`12+17+y+z` or
`29+y+z`.

Explanation:

We have been given that Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two days. One expression for the total miles he will run is
`12+y+17+z`.

The Commutative Property of Addition states that we can add numbers in any order. For example a and b be two numbers.

According to Commutative Property of Addition
`a+b=b+a`.

Similarly, we can write an equivalent expression to our given expression as:

`12+17+y+z`

We can simplify our expression as:

`29+y+z`.

Therefore, our required expression would be
`12+17+y+z` or
`29+y+z`.