We will look at the largest place first. The largest place for 265 and 269 is the hundreds place.
265
269
200
+
60
+
5
200
+
60
+
9
Both have 200. We will need to look at the next largest place.
Let’s Learn!
How do we use expanded form to compare numbers?
Goal:
Goal:
Think About It!
Goal: Learn more about expanded form to compare numbers.
Freddie’s band wants to pick one more song. They have two choices. The first song has 265 notes. The second song has 269 notes. The band wants the longer song.
We can use place value and expanded form to find out which song is longer!
265
269
2 hundreds
6 tens
5 ones
2 hundreds
6 tens
9 ones
200
+
60
+
5
200
+
60
+
9
The longer song has more notes. We need to find the larger number! The place-value charts with expanded form can help us. We will start with the largest place.
Now we will look at the tens place.
265
269
200
+
60
+
5
200
+
60
+
9
Both have 60. We will need to look at the next largest place.
Finally, we will look at the ones place.
265
<
269
200
+
60
+
5
200
+
60
+
9
265 has 5 ones and 269 has 9 ones. 5 < 9. That means 269 > 265.
When we compare numbers, where do we start?
Start with the largest place in the expanded form of each number.