Place Value

 

When you have finished this page, try the Place Value Quiz.

Also try the pages on tenths, hundredths and thousandths listed below.

A review of place value is extremely important as it is the basis of all operations having to do with decimals. The tables below offer some assistance. The first row gives the place values written vertically. The next row is a number. Below the number is broken down the place value of each number within this bigger number.

B
I
L
L
I
O
N
S

H
U
N
D
R
E
D

M
I
L
L
I
O
N
S

T
E
N

M
I
L
L
I
O
N
S

M
I
L
L
I
O
N
S

H
U
N
D
R
E
D

T
H
O
U
S
A
N
D
S

T
E
N

T
H
O
U
S
A
N
D
S

T
H
O
U
S
A
N
D
S

H
U
N
D
R
E
D
S

T
E
N
S

O
N
E
S

T
E
N
T
H
S

H
U
N
D
R
E
D
T
H
S

T
H
O
U
S
A
N
T
H
S

9

8

7

6

5

4

3

2

1

0

1

2

3

9

0

0

0

0

0

0

0

0

0

0

0

0

 

8

0

0

0

0

0

0

0

0

0

00

0

 

 

7

0

0

0

0

0

0

0

0

0

0

 

 

 

6

0

0

0

0

0

0

0

0

0

 

 

 

 

5

0

0

0

0

0

0

0

0

 

 

 

 

 

4

0

0

0

0

0

0

0

 

 

 

 

 

 

3

0

0

0

0

0

0

 

 

 

 

 

 

 

2

0

0

0

0

0

 

 

 

 

 

 

 

 

1

0

0

0

0

 

 

 

 

 

 

 

 

 

0

0

0

0

 

 

 

 

 

 

 

 

 

 

.1

0

0

 

 

 

 

 

 

 

 

 

 

.0

1

0

 

 

 

 

 

 

 

 

 

 

.0

0

1

 

 

Another way of writing numbers to show their place value is by expanded form. Here is an example with the number 12345.678

10,000 + 2,000 + 300 + 40 + 5 + .6 + .07 + .008

This could also be written as

(1 * 10000) + (2 * 1000) + (3 * 100) + (4 * 10) + (5 * 1) + (6 * .1) + (7 * .01) + (8 * .001)

Decimals Place Value Videos

Return to Decimals Main Page.

Place Value Adding Decimals Subtracting Decimals Multiplying Decimals
Dividing Decimals Decimals & Money Metric Measurement Percents