SkillSkill

Decimals Decimals in in

Expanded FormExpanded Form

ProcessProcess

Use a place value chart to align each digit Use a place value chart to align each digit with its value.with its value.

Begin with the decimal point.Begin with the decimal point.

Write each digit in its corresponding place.Write each digit in its corresponding place.

Multiply each digit by its place value Multiply each digit by its place value written as a decimal or fraction.written as a decimal or fraction.

Add those values.Add those values.

Omit the decimal point if using a fraction.Omit the decimal point if using a fraction.

Use a place value chart to align Use a place value chart to align each digit with its value.each digit with its value.

Tens Tens

1010

Ones Ones

11

ANDAND

..

TenthsTenths

.1.1

HundredthsHundredths

.01.01

Begin with the decimal point.Begin with the decimal point.

Tens Tens

1010

Ones Ones

11

ANDAND

..

TenthsTenths

.1.1

HundredthsHundredths

.01.01

..

Write each digit in its corresponding Write each digit in its corresponding place.place.

Tens Tens

1010

Ones Ones

11

ANDAND

..

TenthsTenths

.1.1

HundredthsHundredths

.01.01

11 77 .. 99

Multiply each digit by its place Multiply each digit by its place value written as a decimal or value written as a decimal or

fraction.fraction.

Tens Tens

1010

Ones Ones

11

ANANDD

..

TenthsTenths

.1.1

HundredthsHundredths

.01.01

11 77 .. 99

1 x 10 7 x 1 9 x .1

Add those values.Add those values.

Tens Tens

1010

Ones Ones

11

ANANDD

..

TenthsTenths

.1.1

HundredthsHundredths

.01.01

11 77 .. 99

1 x 10 + 7 x 1 + 9 x .1

Omit the decimal point if using a Omit the decimal point if using a fraction.fraction.

Tens Tens

1010

Ones Ones

11

ANDAND

..

TenthsTenths__11__

1010

HundredthsHundredths

__1__1____

100100

11 77 .. 99

1 x 10 + 7 x 1 + 9 x 1

10

Example 1Example 1

376.306376.306

3 x 100 + 7 x 10 + 6 x 1 + 3 x .1 + 6 x .0013 x 100 + 7 x 10 + 6 x 1 + 3 x .1 + 6 x .001

Example 2Example 2

4118.0854118.085

4 x 1000 + 1 x 100 + 1 x 10 + 8 x 1 + 4 x 1000 + 1 x 100 + 1 x 10 + 8 x 1 +

8 x .01 + 5 x .0018 x .01 + 5 x .001