### 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.