What is a Place Value Chart?
A place value chart is a table that organises each digit of a number according to its position — or place. Every position in a number has a name (ones, tens, hundreds, thousands, and so on) and a value that is exactly 10 times larger than the position to its right.
For example, in the number 4,327:
| Thousands | Hundreds | Tens | Ones |
|---|---|---|---|
| 4 | 3 | 2 | 7 |
The digit 4 sits in the thousands place, so its value is 4,000. The digit 3 is in the hundreds place, giving a value of 300. Together the number reads: 4,000 + 300 + 20 + 7 = 4,327.
💡 Key Idea
A digit's value depends entirely on its position. The digit 4 can mean 4, 40, 400, 4,000 or even 0.4 — it all depends on where it sits in the number.
How to Read a Place Value Chart
Reading a place value chart is straightforward once you know the column names. Work from left to right — the leftmost column always holds the largest value.
Step-by-step guide
- Step 1 — Write the number in the chart, one digit per column, starting from the right (ones column).
- Step 2 — Read the column heading above each digit to find its place name.
- Step 3 — Multiply the digit by the column's value to find its contribution to the total.
- Step 4 — Add all contributions together to confirm the original number.
Try it with our tool above — type any number and watch each digit snap into its correct column, colour-coded by place.
🎯 Teacher Tip
Ask students to cover all but one column and name the place. Then uncover and check. This "column hide" routine builds fluency faster than worksheets alone.
Place Value Chart to Millions (and Beyond)
Once students are confident with thousands, they are ready to extend the chart to the left. Each new column is always 10 times the value of the column to its right.
| Billions | Hundred Millions | Ten Millions | Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
The number above is one billion (1,000,000,000). Notice how zeros act as placeholders — they keep every digit in the correct column even when that column contributes nothing to the total.
- Millions — 1,000,000 (one followed by six zeros)
- Ten Millions — 10,000,000
- Hundred Millions — 100,000,000
- Billions — 1,000,000,000 (one followed by nine zeros)
Our interactive chart above handles numbers up to the billions — try typing 1000000 to see it in action!
Decimal Place Value Chart
The place value chart extends to the right of the decimal point as well. The columns to the right of the ones place are called tenths, hundredths, and thousandths.
| Ones | . | Tenths | Hundredths | Thousandths |
|---|---|---|---|---|
| 3 | . | 1 | 4 | 0 |
In the decimal number 3.14, the digit 1 is in the tenths place (value = 0.1) and the digit 4 is in the hundredths place (value = 0.04). So 3.14 = 3 + 0.1 + 0.04.
A common misconception is that the column after the decimal point is called "oneths" — it is not. It is tenths, because one tenth means one part of ten equal parts.
📌 Remember the Pattern
Ones → Tenths → Hundredths → Thousandths. Each step to the right divides by 10. Each step to the left multiplies by 10. The decimal point is the fixed anchor in the middle.