Expanded Form and Standard Form

What You'll Learn

You'll learn how to break a number into its place-value pieces (expanded form) and how to write those pieces back as a regular number (standard form).

The Core Idea

Think of a number like 347 as a stack of building blocks. Each digit sits in a different place and has a different value:

• The 3 is in the hundreds place → worth 300
• The 4 is in the tens place → worth 40
• The 7 is in the ones place → worth 7

Expanded form means writing the number as the sum of these place values:

347 = 300 + 40 + 7

Standard form is the normal way we write numbers, all digits together:

300 + 40 + 7 = 347

Why This Matters

Expanded form helps you see what each digit contributes to the whole number. It's like taking apart a toy to see how the pieces fit together, then putting it back.

Examples

• Standard form: 582
  Expanded form: 500 + 80 + 2

• Expanded form: 700 + 10 + 9
  Standard form: 719

• Standard form: 205
  Expanded form: 200 + 0 + 5 (or simply 200 + 5)

Notice in that last example: when a place has zero, it adds nothing, so we can skip it in expanded form.

Practice Thinking

When you see 463, ask yourself: "What's in the hundreds place? The tens? The ones?" Then write: 400 + 60 + 3.

When you see 800 + 20 + 4, just read left to right and stack the digits: 824.

Key Takeaway: Expanded form shows the value of each digit by its place; standard form combines them into one number. Converting between them helps you understand what numbers really mean.