A digit’s value in a multi-digit whole number is determined by its place—the number of groups of ten it represents—not by the digit alone; the same digit can represent ones, tens, hundreds, or higher powers of ten, while zero may hold a place without contributing a quantity. Interpreting standard, expanded, and place-value representations supports comparing, rounding, and computing with whole numbers; decimal place value, other bases, and arbitrarily large or generalized numbers are outside this scope.
A digit’s value depends on its place in the number.
Look at the number:
Suppose we want to find the value of the digit .
Find the place of the :
| Thousands | Hundreds | Tens | Ones |
|---|---|---|---|
The is in the hundreds place.
Four hundreds equals:
So, the value of the digit in is .
Remember: the digit is , but its value is because it is in the hundreds place. A zero can hold a place, but it contributes a value of .
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