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# Expanded Form

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In this section, we continue to learn about place value and our number system. We will learn how to write a number in expanded form, also known as expanded notation. This method of writing a number emphasizes the place value of each and every digit of the number. This will help us to visually understand how each digit in a number gains its value. To write a number in expanded notation, we form the sum of each digit multiplied by its corresponding place value (ones, tens, hundreds, thousands,…).

Example 1: Write 548 in expanded form:

5 - Hundreds or 500

4 - Tens or 40

8 - Ones or 8

548 can be written in expanded form as: 500 + 40 + 8

Example 2: Write 16,274 in expanded form:

1 - Ten Thousands or 10,000

6 - Thousands or 6000

2 - Hundreds or 200

7 - Tens or 70

4 - Ones or 4

16,274 can be written in expanded form as: 10,000 + 6000 + 200 + 70 + 4

Example 3: Write 214,953 in expanded form:

2 - Hundred Thousands or 200,000

1 - Ten Thousands or 10,000

4 - Thousands or 4000

9 - Hundreds or 900

5 - Tens or 50

3 - Ones or 3

214,953 can be written in expanded form as: 200,000 + 10,000 + 4000 + 900 + 50 + 3

Example 1: Write 548 in expanded form:

5 - Hundreds or 500

4 - Tens or 40

8 - Ones or 8

548 can be written in expanded form as: 500 + 40 + 8

Example 2: Write 16,274 in expanded form:

1 - Ten Thousands or 10,000

6 - Thousands or 6000

2 - Hundreds or 200

7 - Tens or 70

4 - Ones or 4

16,274 can be written in expanded form as: 10,000 + 6000 + 200 + 70 + 4

Example 3: Write 214,953 in expanded form:

2 - Hundred Thousands or 200,000

1 - Ten Thousands or 10,000

4 - Thousands or 4000

9 - Hundreds or 900

5 - Tens or 50

3 - Ones or 3

214,953 can be written in expanded form as: 200,000 + 10,000 + 4000 + 900 + 50 + 3

Expanded Form Resources:

Videos:

Math Mammoth - Video Khan Academy - Video Virtual Nerd - Video Text Lessons:

Purple Math - Text Lesson Math is Fun - Text Lesson AAA Math - Text Lesson + Show More +