Add Decimals using Place Value Strategies

Examples, solutions, videos and lessons to help Grade 5 students learn how to add decimals using place value strategies and relate those strategies to a written method.

New York State Common Core Math Grade 5, Module 1, Lesson 9

Lesson 9 Concept Development
Problems 1–3
2 tenths + 6 tenths
2 ones 3 thousandths + 6 ones 1 thousandth
2 tenths 5 thousandths + 6 hundredths

Problems 4–6
1.8 + 13 tenths
1 hundred 8 hundredths + 2 ones 4 hundredths
148 thousandths + 7 ones 13 thousandths

Problems 7–9
0.74 + 0.59
7.048 + 5.196
7.44 + 0.774

Lesson 9 Homework

1. Solve.
   a. 3 tenths + 4 tenths = _____ tenths
   b. 12 tenths + 9 tenths = _____ tenths = _____ one(s) _____ tenth(s)

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Lesson 9 Homework

1. Solve.
   d. 27 hundredths + 7 hundredths = __ hundredths = __ tenths __ hundredths
   
2. Solve using the standard algorithm.
   e. 72.564 + 5.137 =

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3. Walkway Over the Hudson, a bridge that crosses the Hudson River in Poughkeepsie, is 2.063 kilometers. Anping Bridge, which was built in China 850 years ago, is 2.07 kilometers long.
   a. Which bridge is longer? How much longer? Show your thinking.

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