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Place Values in Decimals


Videos and solutions to help Grade 5 students learn how to reason abstractly using place value understanding to relate adjacent base ten units from millions to thousandths.

Common Core Standards: 5.NBT.1, 5.NBT.2, 5.MD.1

Related Topics:
Lesson Plans and Worksheets for Grade 5

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 5

Common Core For Grade 5

New York State Common Core Math Module 1, Grade 5, Lesson 2

NYS Grade 5 Lesson 2 Concept Development

Problems 1–4
367 × 10
367 ÷ 10
4,367 × 10
4,367 ÷ 10

Problems 5–8
215.6 × 100
215.6 ÷ 100
3.7 × 100
3.7 ÷ 100

Lesson 2 Exit Ticket

1. Solve.
a. 32.1 x 10 = ___________________ b. 3632.1 ÷ 10 = ____________________
2. Solve.
a. 455 x 1000 = _______________ b. 455 ÷ 1000 = __________________
Lesson 2 Homework

This video demonstrates the use of a place value chart to multiply and divide base ten units. 1. Solve.
a. 36,000 x 10 = ___________________
b. 36,000 ÷ 10 = __________________

Lesson 2 Homework

4. Ted says that 3 tenths multiplied by 100 equal 300 thousandths. Is he correct? Use a place value chart to explain your answer.
5. Alaska has a land area of about 1,700,000 km2. Florida has a land area 1/10 the size of Alaska. What is the land area of Florida? Explain how you found your answer.
When multiplying, you shift the digits to the left.
When dividing, you shift the digits to the right.
Remember that when multiplying, your answer should get larger and when dividing, your answer should get smaller.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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