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Can you name the place of a digit and find its value? Take the 10-question quiz to find out. Every answer is explained, and you get 10 new questions each time you play.
Type a number or make a random one. Tap any digit to see its place and its value, then test yourself with the quiz above.
Tap a digit to highlight its place.
| Place | Digit | Power of 10 | Value |
|---|
Decimals extend the idea of place value from whole numbers to parts of a whole. Just as each digit in a whole number has a place value (ones, tens, hundreds, and so on), each digit after the decimal point has a place value too: tenths, hundredths, thousandths, and so on. This lesson shows you how whole-number place values and decimal place values are alike and how they are different.
Each place to the left of the decimal point is a power of ten: ones, tens, hundreds, and so on.
Each place to the right of the decimal point is a fraction with a power of ten in the denominator: tenths, hundredths, and so on.
Each place is 10 times smaller than the place to its left.
| Place name | Value | Fraction |
|---|---|---|
| Tenths | 0.1 | 1/10 |
| Hundredths | 0.01 | 1/100 |
| Thousandths | 0.001 | 1/1,000 |
| Ten-thousandths | 0.0001 | 1/10,000 |
| Hundred-thousandths | 0.00001 | 1/100,000 |
Two methods, both shown with the number 15.43258.
Try each one first, then click “Show the answer.”
In 756.45, what is the name of the place of the underlined digit, and what is its value?
4 is in the tenths place.
Its value is 4 × 0.1 = 0.4.
In 6,214.265, what is the name of the place of the underlined digit, and what is its value?
5 is in the thousandths place.
Its value is 5 × 0.001 = 0.005.
In 32,564.10477, what is the name of the place of the underlined digit, and what is its value?
0 is in the hundredths place.
Its value is 0 × 0.01 = 0. A zero digit always has a value of 0.
In 50.00009014, what is the name of the place of the underlined digit, and what is its value?
9 is in the hundred-thousandths place.
Its value is 9 × 0.00001 = 0.00009.
What decimals are and how they relate to fractions.
Learn how to read and write decimal numbers in words.
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