How do you represent decimal numbers in expanded notation?

In this lesson you will learn how to read and write numbers to the thousandths in expanded

notation by using base ten blocks.

Let’s Review

The value of a digit depends upon its position in a number. You can find the value of a digit

by multiplying it by its place.

Millions Thousands Ones Thousandths

Hundred Millions

Ten Millions

Millions

Hundred Thousands

Ten Thousands

Thousands

Hundreds

Tens Ones

.

Tenths

Hundredths

Thousandths

.8 4 13,

(3 x 1,000) + (8 x 100)

+ (4 x 10)

+ (1 x 1)

0 0 03, 8 0 03, 8 4 03, 8 4 13,

Core Lesson

2.4862.4862.4862.4862.486

A number can be written in expanded notation by writing an expression that shows

the sum of the values of each digit.

2 x 1

4 x 0.1

8 x 0.01

6 x 0.001

2 + 0.4 + 0.08 + 0.006

Core Lesson

4.0324.0324.0324.0324.032

A number can be written in expanded notation by writing an expression that shows

the sum of the values of each digit.

4 x 1

3 x 1100

2 x 11,000

4 +

3100

21,000+

In this lesson you have learned how to read and write numbers to the thousandths in expanded notation

by using base ten blocks.