Compare Decimal Fractions

Videos, examples and solutions to help Grade 5 students learn how to compare decimal fractions to the thousandths using like units and express comparisons with >, <, =

New York State Common Core Math Grade 5, Module 1, Lesson 6
Common Core Standards: 5.NBT.3
Common Core Math Grade 5, Module 1, Lesson 6 Worksheet (pdf)

The following tables show how to compare decimals using the place value chart. Scroll down the page for more examples and solutions.

 

Lesson 6 Concept Development

Problem 2: Compare 0.012 and 0.002.
Problem 3: Compare 299/1000 and 3/10, Compare 705/1000 and 7/10
Problem 4: Order from least to greatest: 0.413, 0.056, 0.164, and 0.531.

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Lesson 6 Problem Set

1. Show the numbers on the place value chart using digits. Use >, <, or = to compare. Explain your thinking to the right.
2. Use >, <, or = to compare the following. Use a place value chart to help if necessary.
3. Arrange the numbers in increasing order.
   a. 3.049 3.059 3.05 3.04
   b. 182.205 182.05 182.105 182.025
4. Arrange the numbers in decreasing order.
   a. 7.608 7.68 7.6 7.068
   b. 439.216 439.126 439.612 439.261

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Lesson 6 Exit Ticket

1. Show the numbers on the place value chart using digits. Use >, <, or = to compare. Explain your thinking to the right.
   

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Lesson 6 Homework

1. Use >, <, or = to compare the following.
2. Arrange the numbers in increasing order.
   a. 8.08, 8.081, 8.09, 8.008
   b. 14.204, 14.200, 14.240, 14.210
3. Arrange the numbers in decreasing order.
   a. 8.508, 8.58, 7.5, 7.058
   b. 439.216, 439.126, 439.612, 439.
4. James measured his hand. It was 0.17 meters. Jennifer measured her hand. It was 0.165 meters. Whose hand is bigger? How do you know?
5. In a paper airplane contest, Marcel’s plane travels 3.345 meters. Salvador’s plane travels 3.35 meters. Jennifer’s plane travels 3.3 meters. Based on the measurements, whose plane traveled the farthest distance? Whose plane traveled the shortest distance? Explain your reasoning using a place value chart.

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