# Mixed Numbers and Expanded Form

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Common Core For Grade 4

Examples, videos, and solutions to help Grade 4 students learn how to model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart.

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 7

Download Worksheet for Common Core Grade 4, Module 6, Lesson 7

Lesson 7 Concept Development

Problem 1: Use number disks to model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths on the place value chart.

Problem 2: Say the value of each digit.

Problem 3: Express a decimal number in decimal and fraction expanded form.

Lesson 7 Problem Set

1. Write a decimal number sentence to identify the total value of the number disks.

2. Use the place value chart to answer the following questions. Express the value of the digit in unit form.
a. The digit _______ is in the hundreds place. It has a value of _______.
b. The digit _______ is in the tens place. It has a value of _______.
c. The digit _______ is in the tenths place. It has a value of _______.
d. The digit _______ is in the hundredths place. It has a value of _______.
e. The digit _______ is in the hundreds place. It has a value of _______.
f. The digit _______ is in the tens place. It has a value of _______.
g. The digit _______ is in the tenths place. It has a value of _______.
h. The digit _______ is in the hundredths place. It has a value of _______.

3. Write each number in expanded form, using both decimal and fraction notation.
21.4 = _______
38.09 = ______
50.2 = _______
301.07 = _____
620.80 = _____
800.08 = _____

Lesson 7 Homework

1. Write a decimal number sentence to identify the total value of the number disks.

2. Use the place value chart to answer the following questions. Express the value of the digit in unit form.
a. The digit _______ is in the hundreds place. It has a value of _______.
b. The digit _______ is in the tens place. It has a value of _______.
c. The digit _______ is in the tenths place. It has a value of _______.
d. The digit _______ is in the hundredths place. It has a value of _______.
e. The digit _______ is in the hundreds place. It has a value of _______.
f. The digit _______ is in the tens place. It has a value of _______.
g. The digit _______ is in the tenths place. It has a value of _______.
h. The digit _______ is in the hundredths place. It has a value of _______.

3. Write each number in expanded form, using both decimal and fraction notation.
25.3 = _______
39.07 = ______
40.6 = _______
208.90 = _____
510.07 = _____
900.09 = _____

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