650 QT-N-633 Lesson - Multiply and Divide by Powers of Ten
Multiply and Divide by Powers of Ten

86 × 1,000 = 86,000

 

42.7 × 0.01 = 0.427

 

4 ÷ 100 = 0.04

 

62.3 ÷ 0.001 = 62,300

45.3 × 1,000 = 45,300

45.3 × 100 = 4,530

45.3 × 10 = 453

45.3 × 1 = 45.3

45.3 × 0.1 = 4.53

45.3 × 0.01 = 0.453

45.3 × 0.001 = 0.0453

 

Multiply by Powers of Ten

move the decimal

         RIGHT

move the decimal

         LEFT

Multiply by Powers of Ten
{
{

45.3 × 1,000 = 45,300

45.3 × 100 = 4,530

45.3 × 10 = 453

45.3 × 1 = 45.3

45.3 × 0.1 = 4.53

45.3 × 0.01 = 0.453

45.3 × 0.001 = 0.0453

 

Move the decimal

point to the

n × 1,000

n × 100

n × 10

For any number, n, match the rules below.

right →
?

Move the decimal

point to the

n × 0.001

n × 0.01

n × 0.1

← left
?

n × 1,000

n × 100

n × 10

n × 1

n × 0.1

n × 0.01

n × 0.001

Rule

Match Each Rule Below

Move the decimal point:
3 spaces right →
?
2 spaces right →
?
1 space right →
?

no change

?
1 space left ←
?
2 spaces left ←
?
3 spaces left ←
?
0.32 × 0.01 =
18 × 1,000 =
4.2 × 100 =
643 × 0.1 =

Use the rules to find these

products mentally:

***Do not

forget to put

commas or

the initial zero

623.4 ÷ 1,000 = 0.6234

623.4 ÷ 100 = 6.234

623.4 ÷ 10 = 62.34

623.4 ÷ 1 = 623.4

623.4 ÷ 0.1 = 6,234

623.4 ÷ 0.01 = 62,340

623.4 ÷ 0.001 = 623,400

Divide by Powers of Ten

move the decimal

         LEFT

move the decimal

         RIGHT

Divide by Powers of Ten
{
{

623.4 ÷ 1,000 = 0.6234

623.4 ÷ 100 = 6.234

623.4 ÷ 10 = 62.34

623.4 ÷ 1 = 623.4

623.4 ÷ 0.1 = 6,234

623.4 ÷ 0.01 = 62,340

623.4 ÷ 0.001 = 623,400

Move the decimal

point to the

n ÷ 1,000

n ÷ 100

n ÷ 10

For any number, n, match the rules below.

← left
?

Move the decimal

point to the

n ÷ 0.001

n ÷ 0.01

n ÷ 0.1

right →
?

n ÷ 1,000

n ÷ 100

n ÷ 10

n ÷ 1

n ÷ 0.1

n ÷ 0.01

n ÷ 0.001

Rule

Match Each Rule Below

Move the decimal point:
2 spaces right →
?
1 space right →
?
3 spaces right →
?
2 spaces left ←
?
1 space left ←
?
3 spaces left ←
?

no change

?
2,340 ÷ 1,000 =
32.5 ÷ 0.01 =
42 ÷ 100 =
64.3 ÷ 0.1 =

Use the rules to find these

quotients mentally:

***Do not

forget to put

commas or

the initial zero

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