# Fraction Equivalence and Decimal Numbers

Examples, videos, and solutions to help Grade 4 students learn how to use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units.

Topic B: Tenths and Hundredths

Common Core Standards: 4.NF.5, 4.NF.6, 4.NBT.1, 4.NF.1, 4.NF.7, 4.MD.1

### NYS Common Core Grade 4, Module 6, Lesson 8

Lesson 8 Concept Development
Problem 1: Represent numbers in unit form in terms of different units using the area model.
Problem 2: Represent numbers in unit form in terms of different units using place value disks.
Problem 3: Decompose mixed numbers to express as smaller units.

Lesson 8 Problem Set

1. Use the area model to represent 250/100. Complete the number sentence.
b. In the space below, explain how you determined your answer to (a).
2. Draw place value disks to represent the following decompositions.
2 ones = ________ tenths
2 tenths = ________ hundredths
1 one 3 tenths = ____ tenths
2 tenths 3 hundredths = ____ hundredths
3. Decompose the units to represent each number as tenths.
a. 1 = ____ tenths
b. 2 = ____ tenths
c. 1.7 = _____ tenths
d. 2.9 = _____ tenths
e. 10.7 = _____ tenths
f. 20.9 = _____ tenths
4. Decompose the units to represent each number as hundredths.
a. 1 = _____ hundredths
b. 2 = _____ hundredths
c. 1.7 = _____ hundredths
d. 2.9 = _____ hundredths
e. 10.7 = _____ hundredths
f. 20.9 = _____ hundredths
5. Complete the chart. The first one has been done for you.

Lesson 8 Homework

1. Use the area model to represent 220/100. Complete the number sentence.
b. In the space below, explain how you determined your answer to (a).
2. Draw place value disks to represent the following decompositions.
5 ones = ________ tenths
7 tenths = ________ hundredths
2 ones 4 tenths = ____ tenths
8 tenths 3 hundredths = ____ hundredths
3. Decompose the units to represent each number as tenths.
a. 1 = _____ tenths
b. 2 = _____ tenths
c. 1.3 = _____ tenths
d. 2.6 = _____ tenths
e. 10.3 = _____ tenths
f. 20.6 = _____ tenths
4. Decompose the units to represent each number as hundredths.
a. 1 = _____ hundredths
b. 2 = _____ hundredths
c. 1.3 = _____ hundredths
d. 2.6 = _____ hundredths
e. 10.3 = _____ hundredths
f. 20.6 = _____ hundredths
5. Complete the chart. The first one has been done for you.

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