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Comparing numbers is determining whether a number is less than (<), greater than (>), or equal to (=) another number.
Examples:
On a number line, the numbers are always placed in ascending order.

The number on the left is the smallest. The one on the right is the largest.
I locate the numbers 5.2 and 5.7 on the number line to compare them.

5.2 is less than 5.7.
5.2 < 5.7
To compare the numbers 2720.29 and 2705.89, I write them in a place value chart.

I start by looking at the largest place value column and compare the numbers.
Both numbers have 2 in the thousands position. Since the numbers are equal, I will move on to the next column.
I look at the next place value column and compare the numbers.
Both numbers have 7 in the hundreds position. So, I move on to the next column.
I look at the next place value column and compare the numbers.
The number 2 720.29 has 2 tens while the number 2 705.89 has none.
Since 2 is greater than 0, the number 2 720.29 is greater than 2 705.89.