example 1 multiply decimals using mental math a. 0.05 1000

EXAMPLE 1 Multiply Decimals Using Mental Math

a. 0.05 1000

EXAMPLE 1 Multiply Decimals Using Mental Math

Move 3 places to the right.a. 0.05 1000

EXAMPLE 1 Multiply Decimals Using Mental Math

Move 3 places to the right.a. 0.05 1000 = 0 0 5 0.

EXAMPLE 1 Multiply Decimals Using Mental Math

Move 3 places to the right.a. 0.05 1000

= 50

= 0 0 5 0.

EXAMPLE 1 Multiply Decimals Using Mental Math

b. 95.38 0.0001

Move 3 places to the right.a. 0.05 1000

= 50

= 0 0 5 0.

EXAMPLE 1 Multiply Decimals Using Mental Math

b. Move 4 places to the left.

Move 3 places to the right.a. 0.05 1000

= 50

= 0 0 5 0.

95.38 0.0001

EXAMPLE 1 Multiply Decimals Using Mental Math

b. Move 4 places to the left.

Move 3 places to the right.a. 0.05 1000

= 50

= 0 0 5 0.

= .0 0 9 5 3 895.38 0.0001

EXAMPLE 1 Multiply Decimals Using Mental Math

b. Move 4 places to the left.

Move 3 places to the right.a. 0.05 1000

= 50

= 0.009538

= 0 0 5 0.

= .0 0 9 5 3 895.38 0.0001

EXAMPLE 2

The graph shows the number of vehicles that crossed bridges during 2000. How many vehicles crossed the Golden Gate Bridge?

Multiply Decimals by Powers of Ten

Bridges

EXAMPLE 2 Multiply Decimals by Powers of Ten

The graph shows the number of vehicles that crossed bridges during 2000. How many vehicles crossed the Golden Gate Bridge?

Bridges

EXAMPLE 2 Multiply Decimals by Powers of Ten

4.25 10,000,000

EXAMPLE 2 Multiply Decimals by Powers of Ten

4.25 10,000,000 Move 7 places to the right.

EXAMPLE 2 Multiply Decimals by Powers of Ten

4.25 10,000,000 = 4 2 5 0 0 0 0 0 . Move 7 places to the right.

EXAMPLE 2 Multiply Decimals by Powers of Ten

4.25 10,000,000 = 4 2 5 0 0 0 0 0 . Move 7 places to the right.

= 42,500,000

EXAMPLE 2 Multiply Decimals by Powers of Ten

4.25 10,000,000 = 4 2 5 0 0 0 0 0 . Move 7 places to the right.

= 42,500,000

In 2000, 42,500,000 vehicles crossed the Golden Gate Bridge.

ANSWER

EXAMPLE 3 Divide Decimals Using Mental Math

a. 508.3 10

EXAMPLE 3 Divide Decimals Using Mental Math

a. 508.3 10 Move 1 place to the left.

EXAMPLE 3 Divide Decimals Using Mental Math

a. 508.3 10= 5 0 . 8 3 Move 1 place to the left.

EXAMPLE 3 Divide Decimals Using Mental Math

a. 508.3 10= 5 0 . 8 3 Move 1 place to the left.

= 50.83

EXAMPLE 3 Divide Decimals Using Mental Math

a. 508.3 10= 5 0 . 8 3 Move 1 place to the left.

= 50.83

b. 508.3 0.01

EXAMPLE 3 Divide Decimals Using Mental Math

a. 508.3 10= 5 0 . 8 3 Move 1 place to the left.

= 50.83

b. Move 2 places to the right.508.3 0.01

EXAMPLE 3 Divide Decimals Using Mental Math

a. 508.3 10= 5 0 . 8 3 Move 1 place to the left.

= 50.83

b. = 5 0 8 3 0 .508.3 0.01 Move 2 places to the right.

EXAMPLE 3 Divide Decimals Using Mental Math

a. 508.3 10= 5 0 . 8 3 Move 1 place to the left.

= 50.83

b. = 5 0 8 3 0 .

= 50,830

508.3 0.01 Move 2 places to the right.

GUIDED PRACTICE for Example 1,2 and 3

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 Move 3 places to the right.

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

Move 2 places to the left.2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 Move 2 places to the left.

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

4. 509 1000

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

4. 509 1000 Move 3 places to the left.

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

4. 509 1000 = 0.509 Move 3 places to the left.

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

4. 509 1000 = 0.509 Move 3 places to the left.

5. 5 0.1

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

4. 509 1000 = 0.509 Move 3 places to the left.

5. 5 0.1 Move 1 places to the right.

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

4. 509 1000 = 0.509 Move 3 places to the left.

5. 5 0.1 = 50 Move 1 places to the right.

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

4. 509 1000 = 0.509 Move 3 places to the left.

5. 5 0.1 = 50 Move 1 places to the right.

6. 3.2 0.001

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

4. 509 1000 = 0.509 Move 3 places to the left.

5. 5 0.1 = 50 Move 1 places to the right.

6. 3.2 0.001 Move 3 places to the right.

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

1. 6.07 1000 = 6070 Move 3 places to the right.

= 1.536 Move 2 places to the left.

3. 42.6 100 = 0.426 Move 2 places to the left.

4. 509 1000 = 0.509 Move 3 places to the left.

5. 5 0.1 = 50 Move 1 places to the right.

6. 3.2 0.001 = 3200 Move 3 places to the right.

2. 153.6 0.01

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

Use the graph in Example 2 to estimate the number of vehicles that crossed the George Washington Bridge in 2000.

Bridges7.

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

5.34 10,000,000

Use the graph in Example 2 to estimate the number of vehicles that crossed the George Washington Bridge in 2000.

Bridges7.

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

5.34 10,000,000 Move 7 places to the right.

Use the graph in Example 2 to estimate the number of vehicles that crossed the George Washington Bridge in 2000.

Bridges7.

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

5.34 10,000,000 = 53,400,000 Move 7 places to the right.

Use the graph in Example 2 to estimate the number of vehicles that crossed the George Washington Bridge in 2000.

Bridges7.

GUIDED PRACTICE for Example 1,2 and 3

Find the product or quotient using mental math.

5.34 10,000,000 = 53,400,000 Move 7 places to the right.

ANSWER

In 2000, 53,400,000 vehicles crossed the George Washington Bridge.

Use the graph in Example 2 to estimate the number of vehicles that crossed the George Washington Bridge in 2000.

Bridges7.