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

Download Worksheet for 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.

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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.
4. Solve. 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?

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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.
4. Solve. Write your answer as a decimal.
5. Cameron measured 65/100 inches of rain water on the first day of April. On the second day of April, he measured 83/100 inches of rain water. How many inches of rain fell on the first two days of April?

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