Place Value Calculator: Digits, Names and Word Form
Enter any integer or decimal number to see the place value of every digit and the full number in word form.
| Digit | Place Name | Place Value |
|---|
Complete Place Value Chart
This place value chart covers positions from hundred billions down to billionths for integers and decimals.
| Position | Place Name | Numeric Value | Example Digit = 1 |
|---|---|---|---|
| 12th from right | Hundred Billions | 100,000,000,000 | 100,000,000,000 |
| 11th from right | Ten Billions | 10,000,000,000 | 10,000,000,000 |
| 10th from right | Billions | 1,000,000,000 | 1,000,000,000 |
| 9th from right | Hundred Millions | 100,000,000 | 100,000,000 |
| 8th from right | Ten Millions | 10,000,000 | 10,000,000 |
| 7th from right | Millions | 1,000,000 | 1,000,000 |
| 6th from right | Hundred Thousands | 100,000 | 100,000 |
| 5th from right | Ten Thousands | 10,000 | 10,000 |
| 4th from right | Thousands | 1,000 | 1,000 |
| 3rd from right | Hundreds | 100 | 100 |
| 2nd from right | Tens | 10 | 10 |
| 1st from right | Ones | 1 | 1 |
| 1st after decimal | Tenths | 0.1 | 0.1 |
| 2nd after decimal | Hundredths | 0.01 | 0.01 |
| 3rd after decimal | Thousandths | 0.001 | 0.001 |
| 4th after decimal | Ten Thousandths | 0.0001 | 0.0001 |
| 5th after decimal | Hundred Thousandths | 0.00001 | 0.00001 |
| 6th after decimal | Millionths | 0.000001 | 0.000001 |
| 7th after decimal | Ten Millionths | 0.0000001 | 0.0000001 |
| 8th after decimal | Hundred Millionths | 0.00000001 | 0.00000001 |
| 9th after decimal | Billionths | 0.000000001 | 0.000000001 |
What Is Place Value?
Place value is the mathematical system that assigns a value to each digit based on its position within a number. The same digit can represent vastly different values depending on where it sits. The digit 7 in 7,000 represents seven thousand, while the digit 7 in 0.007 represents seven thousandths.
Place value is the foundation of the decimal number system (base 10), which is the numeral system used in everyday arithmetic worldwide. Each position is ten times greater than the position to its right.
Whole Number Place Values
Reading from right to left for whole numbers, the positions are ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, and so on. Each step left multiplies the value by 10.
4 is in the Thousands place = 4,000
7 is in the Hundreds place = 700
2 is in the Tens place = 20
5 is in the Ones place = 5
Decimal Place Values
To the right of the decimal point, positions represent fractions of one. Reading left to right, the places are tenths, hundredths, thousandths, and so on. Each step right divides the value by 10.
3 is in the Tenths place = 0.3
5 is in the Hundredths place = 0.05
8 is in the Thousandths place = 0.008
How to Write Numbers in Word Form
Writing numbers in word form follows a consistent pattern based on period groupings of three digits.
Rules for Whole Numbers
Divide the number into groups of three digits from right to left. Each group gets a period name: ones, thousands, millions, billions. Read each three-digit group as a standalone number, then append the period name. Groups of zero are skipped.
= 5 million, 30 thousand, 7
= “five million thirty thousand seven”
Rules for Decimal Numbers
Write the whole number part normally. Say “and” for the decimal point. Then read the decimal digits as a whole number and follow with the name of the final decimal place position.
= twelve and seventy-five thousandths
Negative Numbers
Prefix the word form with “negative” before reading the rest of the number. The word “minus” is also acceptable in many contexts. For example, -42 is “negative forty-two”.
Frequently Asked Questions
Frequently asked questions about place value cover number positions, word form, and decimal naming.