Compare Decimal Numbers

Examples, videos, and solutions to help Grade 4 students learn how to use area models and the number line to compare decimal numbers, and record comparisons using <, >, and =.

Topic C: Decimal Comparison

Common Core Standards: 4.NF.7, 4.MD.1, 4.MD.2

NYS Common Core Grade 4 Module 6, Lesson 10

Download Worksheet for Common Core Grade 4, Module 6, Lesson 10

Lesson 10 Concept Development

Problem 1: Compare pairs of decimal numbers using an area model. Record comparison using <, >, and =.

Problem 2: Compare decimal numbers on a number line. Record comparison using <, >, and =.

Problem 3: Compare decimal numbers using <, >, and =.

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Lesson 10 Problem Sets

1. Shade the parts of the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers. Fill in the blank with <, >, or = to compare the decimal numbers.
   a. 0.23 ________ 0.4
   b. 0.6 ________ 0.38
   c. 0.09 ________ 0.9
   d. 0.70 ________ 0.7
2. Locate and label the points for each of the decimal numbers on the number line. Fill in the blank with <, >, or = to compare the decimal numbers.
   a. 10.03 ________ 10.3
   b. 12.68 ________ 12.8
3. Use the symbols <, >, or = to compare.
   a. 3.42 ______ 3.75
   b. 4.21 _____ 4.12
   c. 2.15 _____ 3.15
   d. 4.04 ______ 6.02
   e. 12.7 _____ 12.70
   f. 1.9 ______ 1.21
4. Use the symbols <, >, or = to compare. Use pictures as needed to solve.
   a. 23 tenths _____ 2.3
   b. 1.04 _____ 1 one and 4 tenths
   c. 6.07 _______ 6 7/10
   d. 0.45 _____ 45/10
   e. 127/100 _____ 1.72
   f. 6 tenths ______ 66 hundredths

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Lesson 10 Homework

1. Shade the parts of the area models below, decomposing tenths as needed, to represent the pairs of decimal numbers. Fill in the blank with <, >, or = to compare the decimal numbers.
   a. 0.19 ________ 0.3
   b. 0.6 ________ 0.06
   c. 1.8 ________ 1.53
   d. 0.38 ________ 0.7
2. Locate and label the points for each of the decimal numbers on the number line. Fill in the blank with <, >, or = to compare the decimal numbers.
   a. 7.2 ________ 7.02
   b. 18.19 ________ 18.3
3. Use the symbols <, >, or = to compare.
   a. 2.68 ______ 2.54
   b. 6.37 _____ 6.73
   c. 9.28 _____ 7.28
   d. 3.02 ______ 3.2
   e. 13.1 _____ 13.10
   f. 5.8 ______ 5.92
4. Use the symbols <, >, or = to compare. Use pictures as needed to solve.
   a. 57 tenths _____ 5.7
   b. 6.2 _____ 6 ones and 2 hundredths
   c. 33 tenths _______ 33 hundredths
   d. 8.39 _____ 8 39/10
   e. 236/100 _____ 2.36
   f. 3 tenths ______ 22 hundredths

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