Nearest Thousandth


Welcome to the nearest thousandth, our article which explains the rounding of numbers to the nearest 1000th, along with many examples. Right below this line you can find our rounding calculator.

Round to the Nearest Thousandth Calculator

Fill in your starting number, then press the “round” button. 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.

Nearest Thousandth

Our rounded numbers include, for instance:

  • N/A

Frequently Asked Questions

  • What is 880.8869 rounded to the nearest thousandth? As the ten thousandths’ place of 880.8869 is 9, increase the digit in the thousandth’s place, 6, by 1 to 7, and then remove the ten thousandths’ digit (9): 880.887.
  • How do you round to the thousandths’ place? If the thousandths’ digit is between 5 and 9, the number in the thousandth’s place will be increased by 1 and all the remaining digits to the right are dropped. If the thousandths’ digit is between 0 and 4, simply truncate all decimal places after the 4th place right of the decimal separator.
  • How would I round up to the nearest thousandth? Increase the number in the thousandth’s place by 1, drop the the digits after the fourth place to the right of the decimal point.
  • How would I round down to the nearest thousandth? Simply drop all the the numbers after the fourth place to the right of the decimal point.
  • What is 4825.669 rounded to the nearest thousandth? Because the ten thousandths’ place of 4825.669 is 0, simply forget about the 0; the rounded number to the to the nearest thousandth is 4825.669.

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.

NumberRounded to Nearest 1000th
5.52245.522
8.19038.19
47.999848
101.9235101.924
0.55350.554
55.297555.298
1000.84291000.843
25.256825.257
36.873336.873
7.35497.355
11.246911.247
3.14159265358979323846264338327953.142
63.530863.531
89.850689.851
25.924125.924
100100
68.778068.778
21.741421.741
17.865317.865
32.32232.322
77.77777.777
18.579918.58
71597159
49.48549.485
1.60231.602
44.2244.22
188.1848188.185
81128112
0.15610.156
27.750127.75
4.7194.719
3.73393.734
6.4676.467
9.0789.078
51.12251.122
1888.6731888.673
82.995182.995
901.52901.52
9288.46389288.464
10002.856810002.857
101.7760101.776
134.1926134.193
16900.759116900.759
1250000.5491250000.549
22.659777722.66

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 can also mean 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 can also mean 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.

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