Relate Place Values in Decimals

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Lesson Plans and Worksheets for Grade 5
Lesson Plans and Worksheets for all Grades

Videos, examples, solutions, and lessons to help Grade 5 students learn how to use reason concretely and pictorially 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.

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

Worksheets for 5th Grade, Module 1, Lesson 1 (pdf)

The following diagram shows how the digits get shifted to the left in the place value chart when we multiply by ten, hundred or thousand. Scroll down the page for more examples and solutions.

The following diagram shows how the digits get shifted to the right in the place value chart when we divide by ten, hundred or thousand. Scroll down the page for more examples and solutions.

Lesson 1 Concept Development

On the place value chart, when we divide we shift the digits to the right based in the number of zeros in the equation because each place value to the right is 1/10 as large so the number gets smaller.

On the place value chart, when we multiply we shift the digits to the left based in the number of zeros in the equation because each place value to the left is 10 times as large so the number gets bigger.

Multiply 4 tenths (0.4) by 10
37 x 100
402 ÷ 10

Lesson 1 Exit Ticket

Write the first factor above the dashed line on the place value chart and the product or quotient under the dashed line, using arrows to show how the value of the digits changed. Then write your answer in the blank.

6.671 x 100 =
684 ÷ 1000 =

Lesson 1 Homework

1. Record the digits of the first factor on the top row of the place value chart. Draw arrows to show how the value of each digit changes when you multiply. Record the product on the second row of the place value chart.
a. 4.582 x 10 =
b. 7.281 x 100 =

Lesson 1 Homework

2. Record the digits of the dividend on the top row of the place value chart. Draw arrows to show how the value of each digit changes when you divide. Record the quotient on the second row of the place value chart.
b. 678 ÷ 100 =

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