In our base-10 system a digit’s value depends on its position: in 3,407.25 the 4 means 400 and the 5 means 5 hundredths. Understanding place value is the foundation of all written arithmetic.
How to use the Place Value Calculator
- Number
Everything is calculated in your browser, so results appear instantly and nothing you type is sent to a server.
How it works
Each digit is listed with its place name and value. Digits after the decimal point use tenths, hundredths and so on.
Formula
Value of a digit = digit × 10^(position)
Worked example
Inputs — Number: 3,407.25.
Results — Place value chart = Digit Place Value
3 thousands 3,000
4 hundreds 400
0 tens 0
7 ones 7
2 tenths 0.2
5 hundredths 0.05; In words = three thousand four hundred seven and twenty-five hundredths; Number of digits = 6.
Key terms
- Place value
- The value of a digit based on its position.
Frequently asked questions
What is the place value of 7 in 3,407?
Ones (units) – its value is 7.
What is the value of 2 in 0.25?
2 tenths, or 0.2.
What is the difference between place and value?
The place is the position (e.g. hundreds); the value is digit × place (e.g. 400).
How far do place names go?
Ones, tens, hundreds, thousands, ten thousands … and tenths, hundredths, thousandths …