Module 5 · Place value and decimals · Lesson 21 of 39
Place value
What each digit is worth, on both sides of the decimal point.
In this lesson · about 12 minutes
- Name the place of any digit
- Write the value a digit represents
- Write a number as a sum of place values
The position of a digit tells you its value. Left of the decimal point the places are ones, tens, hundreds, thousands, ten thousands… each 10 times the one to its right. Right of the point they are tenths, hundredths, thousandths, ten-thousandths… each 10 times smaller.
In 12,854: 1 ten thousand, 2 thousands, 8 hundreds, 5 tens and 4 ones. 10,000 + 2,000 + 800 + 50 + 4 = 12,854.
In 32.18476, the 7 is four places right of the point, so it's in the ten-thousandths place and represents 0.0007.
Try it · interactive
Place value explorer
Type 2,635.487 or any number, and see each digit's value add back up to the number.
| Digit | Place | Value |
|---|---|---|
| 2 | thousands | 2,000 |
| 6 | hundreds | 600 |
| 3 | tens | 30 |
| 5 | ones | 5 |
| 4 | tenths | 0.4 |
| 8 | hundredths | 0.08 |
| 7 | thousandths | 0.007 |
| Sum | 2,635.487 | |
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