how to write numbers in expanded form

How to Write Numbers in Expanded Form

Writing numbers in expanded form means breaking down the number to show the value of each digit according to its place value. This helps understand the number better by expressing it as a sum of each digit multiplied by its place value.

Steps to Write Numbers in Expanded Form

1. Identify the place value of each digit
   Look at each digit in the number and determine its place value (ones, tens, hundreds, thousands, etc.).

2. Write each digit multiplied by its place value
   Express each digit as the digit times the value of its place.

3. Add all the values together
   Combine all the expanded parts with addition signs.

Example 1: Writing 345 in expanded form

• 3 is in the hundreds place → 3 × 100 = 300
• 4 is in the tens place → 4 × 10 = 40
• 5 is in the ones place → 5 × 1 = 5

So,
345 = 300 + 40 + 5

Example 2: Writing 5,208 in expanded form

• 5 is in the thousands place → 5 × 1,000 = 5,000
• 2 is in the hundreds place → 2 × 100 = 200
• 0 is in the tens place → 0 × 10 = 0 (usually omitted)
• 8 is in the ones place → 8 × 1 = 8

So,
5,208 = 5,000 + 200 + 8 If you want, I can provide more examples or explain how to write decimals in expanded form!