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Examples, videos, and solutions to help Grade 4 students learn how to use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms.
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
Lesson 6 Concept Development
Problem 1: Represent mixed numbers with units of ones, tenths, and hundredths using area models.
Problem 2: Represent mixed numbers with units of ones, tenths, and hundredths on a number line.
Lesson 6 Problem Set
1. Shade the area models to represent the number, drawing horizontal lines to make hundredths as needed. Locate the corresponding point on the number line. Label with a point and record the mixed number as a decimal.
2. Estimate to locate the points on the number lines.
3. Write the equivalent fraction and decimal for each of the following numbers.
a. 1 one 2 hundredths
b. 1 one 17 hundredths
c. 2 ones 8 hundredths
d. 2 ones 27 hundredths
e. 4 ones 58 hundredths
f. 7 ones 70 hundredths
Lesson 6 Homework
1. Shade the area models to represent the number, drawing horizontal lines to make hundredths as needed. Locate the corresponding point on the number line. Label with a point and record the mixed number as a decimal.
2. Estimate to locate the points on the number lines.
3. Write the equivalent fraction and decimal for each of the following numbers.
a. 2 ones 2 hundredths
b. 2 ones 16 hundredths
c. 3 ones 7 hundredths
d. 1 one 18 hundredths
e. 9 ones 62 hundredths
f. 6 ones 20 hundredths
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