Place Value Calculator
Place value is what a digit is worth based on where it sits in a number. Enter a number and a position — 0 for ones, 1 for tens, 2 for hundreds, or negative numbers for the decimal places (−1 for tenths, −2 for hundredths) — to get the digit there and its value.
How Position Numbers Work
Think of position as "how many steps from the ones digit." Position 0 is always the ones digit. Each step left multiplies by 10 (tens, hundreds, thousands…), and each step right of the decimal point divides by 10 (tenths, hundredths, thousandths…).
Worked Example
Take 4,728. Position 3 (thousands) gives digit 4, place value 4,000. Position 2 (hundreds) gives digit 7, place value 700. Position 0 (ones) gives digit 8, place value 8. Add 4,000 + 700 + 20 + 8 and you're back to 4,728 — that's what place value notation is built on.
Decimals and Place Value
The same idea continues past the decimal point, just dividing by 10 instead of multiplying. For 0.364, the tenths digit (position −1) is 3 worth 0.3, the hundredths digit (position −2) is 6 worth 0.06, and the thousandths digit (position −3) is 4 worth 0.004.
Frequently Asked Questions
What is place value?
Place value is the value a digit contributes to a number because of its position. In 4,728, the 7 isn't just "seven" — it sits in the hundreds position, so it's worth 700.
How do I pick the position number for a place like "thousands"?
Positions count outward from the decimal point: 0 is ones, 1 is tens, 2 is hundreds, 3 is thousands, and so on. Moving right past the decimal point, positions go negative: −1 is tenths, −2 is hundredths, −3 is thousandths.
What happens if I pick a position beyond the number's digits?
The calculator returns a digit of 0 and a place value of 0 — for example, position 5 (hundred thousands) on the number 42 has no such digit, so there's nothing there to report.
Does this work with decimal numbers?
Yes. For 52.364, position −2 (hundredths) returns digit 6 and place value 0.06, since the digits after the decimal point are 3 (tenths), 6 (hundredths), 4 (thousandths).
What's the difference between a digit and its place value?
The digit is just the symbol itself (0–9); the place value is what that digit is worth once you multiply it by the power of ten for its position — a 7 in the hundreds place has a place value of 700, not 7.