In these lessons, we will learn how to write whole numbers in expanded notation and how to write decimals in expanded notation.

**Related Pages**

Writing Numbers

Write Three-Digit Numbers

Spelling Number Words 1 to 20

The following examples show how to write the Expanded Notation for whole numbers and for decimals. Scroll down the page for examples and solutions.

The digits in the number 3,463,352 has the following place values and values of digit.

Place value | Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones |

Value of digit | 3 000 000 | 400 000 | 60 000 | 3 000 | 300 | 50 | 2 |

We can add the values of the digits to get the number.

3,000,000 + 400,000 + 60,000 + 3,000 + 300 + 50 + 2 = 3,463,352

To show the place values of the digits in a number, we can write the number with
**expanded notation**.

**Example:**

Write 62,502 in expanded notation.

**Solution:**

62,502 = 60,000 + 2,000 + 500 + 2

Write the ten thousands: 60,000 as 6 × 10,000

Write the thousands: 2,000 as 2 × 1,000

Write the hundreds: 500 as 5 × 100

Write the tens: 0 as 0 × 10

Write the ones: 2 as 2 × 1

So, 62,502 = (6 × 10,000) + (2 × 1,000) + (5 × 100) + (2 × 1)

**Example:**

Write 4,205,891 in expanded notation.

**Solution:**

4,205,891 = 4,000,000 + 200,000 + 5,000 + 800 + 90 + 1

= (4 × 1,000,000) + (2 × 100,000) + (5 × 1,000) + (8 × 100) + (9 × 10) + (1 × 1)

**How To Use The Place Value Chart To Write A Number In Expanded Form?**

**Whole Numbers, Place Value, Expanded Form, And Writing Whole Numbers**

**How To Write Numbers In Expanded Notation?**

**Example:**

Write in expanded notation.

a) 416

b) 2414

**Learn All About Writing Numbers In Expanded Notation**

For example, you will learn how to write 278,502 as 200,000 + 70,000 + 8,000 + 500 + 2.

How to write decimal numbers in expanded notation?

**Examples:**

- Write 5.08 in expanded notation.
- Write 0.604 in expanded notation.

**How To Write A Decimal In Expanded Form With Negative Powers Of Ten?**

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.