Place Value Calculator
Find a selected digit's place name, power of 10, numeric place value, and full place-value chart for whole numbers and decimals.
Last Updated: May 2026
Selected Digit
5
Place Name
thousands
Place Value
5,000
Power of 10
10^3
Place Value Inputs
Enter a whole number or finite decimal, then choose a digit position counted from the left side of the number.
Commas, spaces, and underscores are ignored.
1 selects the leftmost digit.
Number Summary
| Item | Value | Meaning |
|---|---|---|
| Standard form | 5,829 | Cleaned input value. |
| Integer digits | 4 | Digits left of the decimal point. |
| Decimal digits | 0 | Digits right of the decimal point. |
| Total places | 4 | Digits in the place-value chart. |
| Nonzero places | 4 | Digits that contribute nonzero place values. |
Selected Place
| Digit | Place | Power | Place value |
|---|---|---|---|
| 5 | thousands | 10^3 | 5,000 |
Place Value Chart
| Position | Digit | Place | Power | Place value | Status |
|---|---|---|---|---|---|
| 1 | 5 | thousands | 10^3 | 5,000 | Selected |
| 2 | 8 | hundreds | 10^2 | 800 | |
| 3 | 2 | tens | 10^1 | 20 | |
| 4 | 9 | ones | 10^0 | 9 |
Place-Value Notice
This calculator is for finite decimal place-value work. It does not parse repeating decimals, fractions, scientific notation, or symbolic expressions.
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Reviewed By
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Sales tax and tax-sensitive estimate tools, Education and GPA planning calculators, Health, protein, and screening-formula pages, Platform-wide publishing standards and methodology
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Page updated May 2026. Trust-critical pages are reviewed when official rates or rules change. Evergreen calculator guides are checked on a recurring quarterly or annual cycle depending on topic volatility.
How to Use the Place Value Calculator
Enter one whole number or finite decimal. Commas, spaces, and underscores are removed before the calculator reads the digits.
Enter a digit position counted from the left. For example, position 1 selects the leftmost digit, position 2 selects the next digit, and the decimal point is not counted.
Step 1: Enter a number
Use a whole number or terminating decimal, with or without commas.
Step 2: Pick a digit position
Count digits from left to right, ignoring the sign and decimal point.
Step 3: Read the selected place
The result shows digit, place name, power of 10, and numeric place value.
Step 4: Use the full chart
Review every digit in the number, including zero placeholders.
How This Place Value Calculator Works
The calculator treats the number as a base-10 digit string. It assigns each digit a power of 10 based on the digit position relative to the ones place.
Places to the left of the decimal point use nonnegative powers of 10. Places to the right use negative powers of 10, which create tenths, hundredths, thousandths, and smaller decimal places.
The selected digit's place value is the digit multiplied by its power of 10. For a negative number, the sign applies to each nonzero place value.
Place Value Guide
Place Value Rules
| Concept | Power | Meaning |
|---|---|---|
| Ones place | 10^0 | The anchor place immediately left of the decimal point. |
| Tens place | 10^1 | One place left of ones. |
| Hundreds place | 10^2 | Two places left of ones. |
| Tenths place | 10^-1 | One place right of the decimal point. |
| Hundredths place | 10^-2 | Two places right of the decimal point. |
| Place value | digit x 10^place | The numeric value contributed by one digit. |
Examples
| Number | Digit | Place | Place value |
|---|---|---|---|
| 5,829 | 5 | thousands | 5,000 |
| 5,829 | 2 | tens | 20 |
| 407.305 | 3 | tenths | 0.3 |
| 407.305 | 5 | thousandths | 0.005 |
| -348.19 | 4 | tens | -40 |
Place Value and Expanded Form
Place value is the building block of expanded form. Once each digit's place value is known, expanded form simply adds the nonzero place values back together.
Zero digits still matter because they hold positions. In 407.305, both zeros keep the 7 in the ones place and the 3 in the tenths place.
Keep the research moving with Expanded Form Calculator, Decimal Calculator, Integer Calculator, and Greater Than Or Less Than Calculator.
Frequently Asked Questions
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Use Scientific Notation CalculatorSources & References
- 1.Khan Academy - Place Value(Accessed May 2026)
- 2.Khan Academy - Decimals in Expanded Form Review(Accessed May 2026)
- 3.Wolfram MathWorld - Decimal Expansion(Accessed May 2026)