Question Video: Writing Addition Sentences and Realizing the Number Property Used | Nagwa Question Video: Writing Addition Sentences and Realizing the Number Property Used | Nagwa

# Question Video: Writing Addition Sentences and Realizing the Number Property Used Mathematics

Michael walked from home 3 blocks to the movie theatre. After the movie, he walked 7 blocks to an ice cream shop. Write a mathematical sentence to show that the distance from Jeff’s home to the ice cream shop is the same as the return walk home. What number property illustrates that?

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### Video Transcript

Jeff walked from home three blocks to the movie theatre. After the movie, he walked seven blocks to an ice cream shop. Write a mathematical sentence to show that the distance from Jeff’s home to the ice cream shop is the same as the return walk home. What number property illustrates that?

First, we wanna know what is this question asking us to do. We know that it wants us to write a mathematical sentence. That’s one thing. It’s also asking us to find a number property. I’m gonna mark in yellow the information that we were given, three blocks to the movie theatre, seven blocks to the ice cream shop. We’re trying to compare the distance from Jeff’s home to the ice cream shop to the distance of his return walk home.

The first thing this question is asking us to do is to write a mathematical sentence. Let’s start there. The first thing that Jeff does is walk three blocks, so that’s our first piece of information. After that, he walked seven blocks. This will be the distance from Jeff’s home to the ice cream shop. And we want to show that his return walk, his walk home, is the same distance.

His return walk will be the same as his walk from his home to the ice cream shop except in reverse. Three plus seven equals seven plus three. Jeff’s walk to the ice cream shop was the same distance as his walk home. This is an illustration of which property? The commutative property of addition. We’re only changing the order in which we’re adding these two addends. That doesn’t change the value of either side. Here, walking three blocks and then walking seven blocks is the same total distance as first walking seven blocks and then walking three more.

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