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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.