6th Grade Math Textbook, Progress

Expanded Form

1-2

A number expressed in expanded form shows the sum of

the products of each digit and its place value.

To express a number in expanded form, multiply each digit

by its value. Then express the products as a sum.

Places that hold a zero may be omitted

in expanded form.

3,007,000,091,806

You can write expanded form in two ways.

Standard Form

Expanded Form

(3 
1,000,000,000,000) (7 
1,000,000,000) (9 
10,000) (1 
1000) 

(8 
100) (6 
1)

or

3,000,000,000,000 7,000,000,000 90,000 1,000  800  6

Decimal numbers can also be written in expanded form. For decimals,

the digits are multiplied by 0.1, 0.01, 0.001, and so on.

hundredstensonestenthshundredthsthousandthstenthousandthshundredthousandthsmillionths

650 4 0 0 2 8

Standard Form Expanded Form

60.540028 (6 
10) (5 
0.1) (4 
0.01) (2 
0.00001) (8 
0.000001)

or

60 0.5 0.04 0.00002 0.000008

(^30) ,,,, 0700 00918 06
hundredstensones
Billions
Period
hundredstensoneshundredstensoneshundredstensoneshundredstensones
Millions
Period
Thousands
Period
Ones
Period
Trillions
Period
3 has a value of
three trillion or
(3
1,000,000,000,000).
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