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g by g by powers of powers of 10 10

Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE

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Page 1: Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE

Multiplying by Multiplying by powers of 10powers of 10

Page 2: Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE

What are powers of 10?What are powers of 10?100,000

10,000

1,000

100

10

1

.1

.01

.001

.0001

.00001

GREATER THAN ONE

LESS THAN ONE

Page 3: Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE

Look for a pattern.Look for a pattern.

1.24 x 1 = 1.24

1.24 x 10 = 12.4

1.24 x 100 = 124

1.24 x 1,000 = 1,240

1.24 x 10,000 = 12,400

The decimal point moves to the ______________ the same number of places as the number of zeros

in the power of 10 greater than one.

RIGHTRIGHT

Page 4: Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE

ExamplesExamples

0.35 x 100 =

8.5 x 1000 =

2.72 x 1000 =

5.98 x 10,000 =

35

8,500

2,720

59,800

00

0

00

Page 5: Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE

WRITE THIS DOWN!WRITE THIS DOWN!

If the power of 10 is…………..If the power of 10 is…………..

MORE THAN ONEMORE THAN ONE

Decimal moves RIGHT

You are almost

done!

Page 6: Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE

You are the BEST!You are the BEST!

Let’s test your knowledge!Let’s test your knowledge!

0.25 x 100 =

6.55 x 100 =

0.9 x 10 =

3.48 x 10 =

25

655

9

9.

10.

11.

HOMEWORK

Page 143

#9-20, 52-53

34.812.

Page 7: Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE
Page 8: Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE

Look for a pattern.Look for a pattern.

12.4 x .1 = 1.24

12.4 x .01 = .124

12.4 x .001 = .0124

12.4 x .0001 = .00124

12.4 x .00001 = .000124

The decimal point moves to the ______________ the same number of digits as there are after the

decimal in the power of 10 less than one.

LEFTLEFT

Page 9: Multiplying by powers of 10. What are powers of 10? 100,000 10,000 1,000 100 10 1.1.01.001.0001.00001 GREATER THAN ONE LESS THAN ONE

ExamplesExamples

5.4 x 0.01 =

93.6 x 0.1 =

7.84 x 0.001 =

0.3 x 0.0001 =

0.054

9.36

0.00784

0.00003000

00

0

.

.

.

.