Lessons
3 & 4

Many Forms to Write Numbers

Composing and Decomposing

Learn 3: Many ways to write numbers

Numbers can be written in many forms, like:

Standard Form

Using digits to write a number.
Example: 35,254

Expanded Form

Using the value of each digit.
Example: 30,000 + 5,000 + 200 + 50 + 4

Word Form

Using words to write a number.
Example: Thirty-five thousand, two hundred fifty-four

Short Word Form

Using digits and words.
Example: 35 thousand, 254

Example

Write the number represented on the place value chart in different forms:

A place value chart displaying the number 6,422,611,324, showing the value of each digit from ones to milliards.

Standard Form: 6,422,611,324
Expanded Form: 6,000,000,000 + 400,000,000 + 20,000,000 + 2,000,000 + 600,000 + 10,000 + 1,000 + 300 + 20 + 4
Word Form: Six milliard, four hundred twenty-two million, six hundred eleven thousand, three hundred twenty-four.
Short Word Form: 6 milliard, 422 million, 611 thousand, 324

Learn 4: Composing and Decomposing

Decomposing numbers (expanded notation) means to break it up into the value of each digit.

A place value chart used to decompose the number 4,975,318,642, illustrating how each digit is multiplied by its place value.

From the previous value table:

Digit
Place
Value
2
Ones
2
4
Tens
40
6
Hundreds
600
8
Thousands
8,000
1
Ten Thousands
10,000
3
Hundred Th.
300,000
5
Millions
5,000,000
7
Ten Millions
70,000,000
9
Hundred M.
900,000,000
4
Milliards
4,000,000,000

Composed Number: 4,975,318,642

Decomposed Number (Expanded Notation):

(4×1,000,000,000) + (9×100,000,000) + (7×10,000,000) + (5×1,000,000) + (3×100,000) + (1×10,000) + (8×1,000) + (6×100) + (4×10) + (2×1)

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