Lesson 1-6
Compare Decimals
1. Gina biked 5.72 miles. Anna biked 5.79 miles. Who biked the longer distance?
One Way: Use a number line
5.71 5.72 5.73 5.74 5.75 5.76 5.77 5.78 5.79
5.8
Numbers to the right are greater than numbers to the left. Since 5.79 is to the right of 5.72,
5.79 > 5.72.
Another Way: Use place value
Step 1
Line up the decimal points.
Step 2
Compare the digits in the
greatest place.
Step 3
Continue comparing until the
digits are different.
5.72
5.79
5.72
5.79
The ones and tenths digits are
the same.
In the hundredths place, 9 > 2.
So, 5.79 > 5.72.
5.72
5.79
So, Anna biked the longer distance.
2. Replace
with <, >, or = to make 0.560
0.560 = 0.560
0.56 a true number sentence.
Annex a zero. The value does not change.
So, 0.560 = 0.56.
3. Replace
with <, >, or = to make 4.53
4.53 → 4.53
4.5 → 4.50
4.5 a true number sentence.
Annex a zero to the right of 4.5 so that it has the same number of decimal places
as 4.53.
Since 3 > 0 in the hundredths place, 4.53 > 4.5.