How is 0.41 10 related to 0.41 100?

In this lesson you will learn to divide a decimal number by 10

and 100 by using your understanding of place value.

Let’s ReviewLet’s ReviewMultiples of 10

1020

304050

6070

8090

2 x 10 = 203 x 10 = 304 x 10 = 40

1 x 10 = 10

6 x 10 = 605 x 10 = 50

7 x 10 = 70

9 x 10 = 908 x 10 = 80

Let’s ReviewLet’s ReviewMultiples of 100

100200

300400500

600700

800900

2 x 100 = 2003 x 100 = 3004 x 100 = 400

1 x 100 = 100

6 x 100 = 6005 x 100 = 500

7 x 100 = 700

9 x 100 = 9008 x 100 = 800

Let’s ReviewLet’s Review

100 = 10 x 10

1000 = 10 x 10 x 10

10 = 1 x 10

1000 = 100 x 10

Let’s ReviewCore Lesson

0.98 10 = 0.098

0.98 100 = 0.0098

Decimal shift one place to the left

Decimal shift two places to the left

Let’s ReviewCore LessonDecimal Place Values

1 1110 100 1000

9 8

9 8 / 10

/ 1009 80

110000

0

00

0

0

1

Let’s ReviewCore Lesson

0.41 10 = 0.041

0.41 100 = 0.0041

Decimal shift one place to the left

Decimal shift two places to the left

Let’s ReviewCore LessonDecimal Place Values

1 1110 100 1000

4 1

4 1 / 10

/ 1004 10

110000

0

00

0

0

1

In this lesson you have learned to divide a decimal number by

10 and 100 by using your understanding of place value.

How is 0.39 10 related to 0.39 100?

Let’s ReviewGuided Practice

0.39 10 = 0.039

0.39 100 = 0.0039

Decimal shift one place to the left

Decimal shift two places to the left

Let’s ReviewGuided PracticeDecimal Place Values

1 1110 100 1000

3 9

3 9 ÷ 10

÷ 1003 90

110000

0

00

0

0

1

Let’s ReviewExtension ActivitiesDividing Decimals by a Power of Ten

Divide the following decimals by 10, 100, and 1,000. 54.2 97.3 .95 .64 87.1 99.6

1

2 Use a calculator to check your work.

3 Explain the pattern you can use when dividing a decimal by a power of 10.

Let’s ReviewExtension ActivitiesSolve the following problems:

.34 10

.34 100

.25 10

.25 100

.59 10

.59 100

.63 10

.63 100

.16 10

.16 100

.92 10

.92 100

2 Choose three other two-digit numbers between 10 and 100 and divide each of them by 10, 100, and 1,000.

1

3 Explain the pattern you can use to find the quotient when dividing a whole number by a power of 10.

Let’s ReviewQuick Quiz

How is .34 10 related to .34 100?

How is .29 10 related to .29 100?