Place Value Chart
The Place Value Chart is an educational reference tool covering place value chart, place value chart printable, decimal place value chart, place value chart millions. Use the chart below to look up values instantly. Printable and downloadable versions are available on this page.
Place Value Chart — Ones Through Billions
| Example Number | Billions | Hundred Millions | Ten Millions | Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones |
|---|---|---|---|---|---|---|---|---|---|---|
| 5,374,928 | — | — | — | 5 | 3 | 7 | 4 | 9 | 2 | 8 |
| 1,000,000,000 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 47,306 | — | — | — | — | — | 4 | 7 | 3 | 0 | 6 |
A zero in any place holds that position — it means there are zero groups of that value. In 47,306 the zero in the hundreds place means there are no hundreds in this number.
Source: Common Core Math Standards — place value and number system concepts
Decimal Place Value Chart
| Example Number | Hundreds | Tens | Ones | · | Tenths | Hundredths | Thousandths | Ten-Thousandths |
|---|---|---|---|---|---|---|---|---|
| 3.14159 | — | — | 3 | · | 1 | 4 | 1 | 5 |
| 0.007 | — | — | 0 | · | 0 | 0 | 7 | — |
Each position to the left is ten times greater than the one to its right. Each position to the right of the decimal point is one-tenth of the position to its left.
Place Value Periods Reference
| Period Name | Place Values in This Period | Example |
|---|---|---|
| Ones | Ones, Tens, Hundreds | The rightmost three digits — digits 1, 2, and 3 from the right |
| Thousands | Thousands, Ten Thousands, Hundred Thousands | Digits 4, 5, and 6 from the right |
| Millions | Millions, Ten Millions, Hundred Millions | Digits 7, 8, and 9 from the right |
| Billions | Billions, Ten Billions, Hundred Billions | Digits 10, 11, and 12 from the right |
| Trillions | Trillions, Ten Trillions, Hundred Trillions | Digits 13, 14, and 15 from the right |
Commas separate periods in standard US notation — they are placed every three digits from the right. The number 1,234,567 has a comma after the millions period (1) and after the thousands period (234).
Place Value Expander
Enter any whole or decimal number to see it broken into a place value chart from ones through trillions, along with its standard form, expanded form, and word form.
Frequently Asked Questions
What is place value?
Place value is the value of a digit based on its position in a number. The digit 5 is worth 5 in the ones place, 50 in the tens place, and 500 in the hundreds place — the position determines the value.
What is the place value of 7 in 4,762?
The digit 7 is in the hundreds place in the number 4,762. Its place value is 700 — seven hundreds.
How do you explain place value to a child?
Use physical objects first — base-ten blocks where a single unit cube equals one, a rod of ten cubes equals ten, and a flat of one hundred cubes equals one hundred. Once children can trade ten ones for one ten they understand the underlying concept.
What is the difference between face value and place value?
Face value is the digit itself — the 4 in 456 has a face value of 4 regardless of where it appears. Place value is what that digit is worth based on its position — the 4 in 456 is worth 400 because it is in the hundreds place.
How many ones are in a thousand?
There are 1,000 ones in a thousand. One thousand equals ten hundreds equals one hundred tens equals one thousand ones.
What comes after billions in place value?
After billions come trillions (1,000,000,000,000). The sequence continues: trillions, quadrillions, quintillions — each period is 1,000 times greater than the previous one.
What is the smallest place value?
There is no smallest place value — decimal places extend infinitely to the right. In common school use tenths, hundredths, and thousandths are the typical decimal places taught.
Why do we use place value in our number system?
Place value allows us to represent any number — no matter how large or small — using only ten digits (0 through 9). Without place value we would need a unique symbol for every possible number which would be impossible to learn and use.