Expanded form and place value v0.1.0
Up to 9 digits.
4,375 in expanded form
four thousand, three hundred seventy-five
Place value chart
| Thousands | Ones | ||
|---|---|---|---|
| thousands | hundreds | tens | ones |
| 4 | 3 | 7 | 5 |
| 4,000 | 300 | 70 | 5 |
Base-ten blocks
Type a number and see it spread out: 4,375 is 4,000 + 300 + 70 + 5. The same number is shown in words, on a place value chart and in base-ten blocks. Switch to decimals for tenths, hundredths and thousandths, or press Make me one to practise with three answer boxes.
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How to use it
- Type a number (up to nine digits) or switch to Decimals. The expanded form, words, chart and blocks change as you type.
- Tick the × box to show expanded notation, such as 4 × 1,000 + 3 × 100.
- Press Make me one for practice: pick the right one of three. Three right in a row makes the numbers bigger.
- Press F to fill the projector and ask the class to say the number before you reveal the form.
Ideas for class
- Type a number with a zero in it, such as 40,305, and ask which place has nothing in it and why that part is missing from the expanded form.
- Compare 4,375 and 4,357 on the chart and ask which digit decides which is bigger.
- Ask students to write the expanded form on their whiteboards before you press the tool.
- Switch to Decimals and show that 3.405 has no hundredths: where does that show up in the chart and the form?
- Build a number on the base-ten blocks page, then type the same number here to check the form.
- Use Make me one as a three-minute warm-up and stop when a table gets three in a row.
Related
Questions
What is expanded form?
Writing a number as the sum of the value of each digit. In 4,375 the 4 is worth 4,000, the 3 is worth 300, the 7 is worth 70 and the 5 is worth 5, so 4,375 = 4,000 + 300 + 70 + 5.
What is expanded notation?
Another name for the same idea, often written with multiplication: 4 × 1,000 + 3 × 100 + 7 × 10 + 5 × 1. Tick the box under the number to see it.
How big a number can I type?
Whole numbers up to nine digits (hundreds of millions). Decimals can have up to six digits before the point and three after it (thousandths).
Why does the expanded form skip a zero?
A zero adds nothing, so 40,305 is 40,000 + 300 + 5. The place value chart shows the zero holding its place.
Is anything saved?
No. The numbers you type and your practice score are not stored or sent anywhere.
Nothing you type is sent to us or stored. No sign-in, no ads, no AI. What each tool stores