Table of Contents
Welcome to the nearest thousandth, our article which explains the rounding of numbers to the nearest 1000th, along with many examples.
In this article you can also find a state-of-the-art rounding calculator a few lines below.
Additionally included is a related quiz.
Round to the Nearest Thousandth Calculator
Fill in your starting number, that’s it. Optionally, you can change the (normal) round mode to round up or round down, as detailed further below in this article.
Where is the Thousandths’ Place?
The nearest thousandth of a decimal number is the value three places to the right of the decimal point once it has been rounded depending on the value of the ten thousandths’ place which is located four places to the right of the decimal point.
How to Round to the Nearest Thousandth?
To round a decimal number to the nearest thousandth, check the value of its ten thousandths.
If the value is equal to 5 or greater, increase the value in the thousandth’s place by 1 and then remove all digits to the right after the third decimal place.
If the value is equal to 4 or less, simply remove all the digits to the right after the third decimal place.
For example:
- 2.1307: The ten thousandths’ value is 7, so we round up: 2.1307 → 2.131
- 1.7762: The ten thousandths’ value is 2, so we round down: 1.7762 → 1.776
- 4.735: Nothing to be done, the ten thousandths’ value is 0.
In the table below you can find some numbers rounded to nearest 1000th.
| Number | Rounded to Nearest 1000th |
|---|---|
| 5.5224 | 5.522 |
| 8.1903 | 8.19 |
| 47.9998 | 48 |
| 101.9235 | 101.924 |
| 0.5535 | 0.554 |
| 55.2975 | 55.298 |
| 1000.8429 | 1000.843 |
| 25.2568 | 25.257 |
| 36.8733 | 36.873 |
| 7.3549 | 7.355 |
| 11.2469 | 11.247 |
| 3.141592 | 3.142 |
| 63.5308 | 63.531 |
| 89.8506 | 89.851 |
| 25.9241 | 25.924 |
| 100 | 100 |
| 68.7780 | 68.778 |
| 21.7414 | 21.741 |
| 17.8653 | 17.865 |
| 32.322 | 32.322 |
| 77.777 | 77.777 |
| 18.5799 | 18.58 |
| 7159 | 7159 |
| 49.485 | 49.485 |
| 1.6023 | 1.602 |
| 44.22 | 44.22 |
| 188.1848 | 188.185 |
| 8112 | 8112 |
| 0.1561 | 0.156 |
| 27.7501 | 27.75 |
| 4.719 | 4.719 |
| 3.7339 | 3.734 |
| 6.467 | 6.467 |
| 9.078 | 9.078 |
| 51.122 | 51.122 |
| 1888.673 | 1888.673 |
| 82.9951 | 82.995 |
| 901.52 | 901.52 |
| 9288.4638 | 9288.464 |
| 10002.8568 | 10002.857 |
| 101.7760 | 101.776 |
| 134.1926 | 134.193 |
| 16900.7591 | 16900.759 |
| 1250000.549 | 1250000.549 |
| 22.6597777 | 22.66 |
| … | … |
If in doubt why a certain table entry has been rounded up or down, employ the comment form at the bottom. We will get back to you with the answer as soon as possible.
Round up to the Nearest Thousandth
If the ten thousandth’s value of a certain number is >= 5, then, according to general rounding rules, you round up to the nearest 1000th.
However, the term round up to the nearest 1000th means that all ten thousandth’s in between 1 and 9 are rounded up by adding 1 to the value in the thousandth’s place, and then removing all digits to the right after the third place.
Round Down to the Nearest Thousandth
If the ten thousandth’s value of a certain number is < 5, then, according to general rounding rules, you round down to the nearest 1000th.
However, the term round down to the nearest 1000th means that all ten thousandth’s in between 1 and 9 are rounded down by removing all the digits to the right after the third decimal place.
Bottom Line
Make sure to understand that a rounded number has always the same value as the number you started with, however its value is less exact.
Here you can learn how to round to the nearest ten thousandth.
– Article written by Mark, last updated on December 14th, 2023