# Use Fraction Equivalence to Add Tenths and Hundredths

Examples, solutions, and videos to help Grade 4 students learn how to apply understanding of fraction equivalence to add tenths and hundredths.

Topic D: Addition with Tenths and Hundredths
Common Core Standards: 4.NF.5, 4.NF.6, 4.NF.3c, 4.MD.1

### NYS Common Core Grade 4 Module 6, Lesson 12

Lesson 12 Concept Development

Problem 1: Add tenths and hundredths written in unit form using pictorial models.

Problem 2: Add tenths and hundredths by converting using multiplication. Express the sum as a decimal.

Problem 3: Add tenths and hundredths with sums greater than 1. Express the sum as a decimal.

Lesson 12 Problem Set

1. Complete the number sentence by expressing each part using hundredths. Model using the place value chart, as shown in Part (a).
a. 1 tenth + 5 hundredths = ______ hundredths
b. 2 tenths + 1 hundredth = ______ hundredths
c. 1 tenth + 12 hundredths = ______ hundredths
2. Solve by converting all addends to hundredths before solving.
a. 1 tenth + 3 hundredths = ______ hundredths + 3 hundredths = ______ hundredths
b. 5 tenths + 12 hundredths = ______ hundredths + ______ hundredths = ______ hundredths
c. 7 tenths + 27 hundredths = ______ hundredths + ______ hundredths = ______ hundredths
d. 37 hundredths + 7 tenths = ______ hundredths + ______ hundredths = ______ hundredths
3. Find the sum. Convert tenths to hundredths as needed. Write your answer as a decimal.
5. Beaker A has 63/100 liter of iodine. It is filled the rest of the way with water up to 1 liter. Beaker B has 4/10 liter of iodine. It is filled the rest of the way with water up to 1 liter. If both beakers are emptied into a large beaker, how much iodine will be in the large beaker?

Lesson 12 Homework

1. Complete the number sentence by expressing each part using hundredths. Model using the place value chart, as shown in Part (a).
a. 1 tenth + 5 hundredths = _____ hundredths
b. 2 tenths + 3 hundredths = _____ hundredths
c. 1 tenth + 14 hundredths = _____ hundredths
2. Solve by converting all addends to hundredths before solving.
a. 1 tenth + 2 hundredths = ______ hundredths + 2 hundredths = ______ hundredths
b. 4 tenths + 11 hundredths = ______ hundredths + ______ hundredths = ______ hundredths
c. 8 tenths + 25 hundredths = ______ hundredths + ______ hundredths = ______ hundredths
d. 43 hundredths + 6 tenths = ______ hundredths + ______ hundredths = ______ hundredths
3. Find the sum. Convert tenths to hundredths as needed. Write your answer as a decimal. 