Round to the Nearest Thousandth Calculator
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How to round to the nearest thousandth? – and examplesOther tools beyond this round to the nearest thousandth calculatorFAQsIf you're searching for how to round to the nearest thousandth, this calculator is the tool you need. Input the number to round, and the calculator will provide the result.
If you want to look at various examples of rounding to the nearest thousandth, look at the lowest part of the calculator. Additionally, in the following section, we present how to perform the rounding process manually, and in the FAQ section, an example of rounding 38.7165 to the nearest thousandth.
How to round to the nearest thousandth? – and examples
Rounding to the nearest thousandth implies approximating to three decimals by following these steps:
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Identify the digit at the thousandth position (always the third digit after the decimal point).
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Identify the number to the right of the thousandth position.
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Apply the following rules:
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If the number to the right of the thousandth position is lower than 5, we leave the thousandth position as it is. For example, -0.1233 ≈ -0.123.
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If the number to the right of the thousandth position is 5 or greater, we round up the thousandth digit. For example, -0.1237 ≈ -0.124.
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Additionally, if the number to round (the third decimal) is 9, we change it to zero and increase the second decimal by one unit. For example, $3.0795 ≈ $3.080 and $2.719212 ≈ $2.720.
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We do the same for the second and first decimals if they are 9. For example, $3.0995 ≈ $3.100 and $2.999212 ≈ $3.000.
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The rule in the third step is known as the half up rounding mode, the most common in math. Even so, there are other modes, which you can enable by ticking the "Show advanced rounding modes" option in the calculator.
💡 If the number has fewer than three decimal digits, you don't need rounding, as there is no thousandth! However, you can pad the number with : even so, depending on the situation, those additional zeros could create , as they could not represent true significant figures. Look at the to learn how they relate to trailing zeros.
Number | Approximation |
|---|---|
-0.13 | ≈ -0.13 or -0.130 |
-0.1 | ≈ -0.1 or 0.100 |
-0.12 | ≈ -0.12 or -0.120 |
0.46 | ≈ 0.46 or 0.460 |
0.4 | ≈ 0.4 or 0.400 |
0.45 | ≈ 0.45 or 0.450 |
7 | ≈ 7 or 7.000 |
9 | ≈ 9 or 9.000 |
10 | ≈ 10 or 10.000 |
Other tools beyond this round to the nearest thousandth calculator
Now that you know how to round to the nearest thousandth, these calculators may also interest you:
- Round to the nearest hundred calculator;
- Round to the nearest hundredth calculator;
- Round to the nearest ten calculator;
- Round to the nearest tenth calculator;
- Round to the nearest cent calculator;
- Round to the nearest dollar calculator;
- Round to the nearest penny calculator; and
- Round to the nearest integer calculator.
What is 38.7165 rounded to the nearest thousandth?
38.7165 rounded to the nearest thousandth is 38.717. To come to this answer:
- Identify the third digit after the decimal point (the thousand digit):
- In this case, it's 6.
- Identify the number to the right of the thousandth digit:
- In this case, it's 5
- As the number to the right of the hundredth digit is 5, we round up the hundredth digit from 6 to 7. The answer is 38.717.
How do I solve 4x - 3 = 18 and round it to the nearest thousandth?
To solve 4x - 3 = 18 and round it to the nearest thousandth:
- Add 3 to both sides of the equation:
- 4x -3 + 3 = 18 + 3 ⇒ 4x = 21
- Divide both sides by 4:
- 4x/4 = 21/4 ⇒ x = 21/4
- Express x as a decimal:
- x = 21/4 = 5.25.
- Use our calculator to round to the nearest thousandth; in this example, the answer is x = 5.25 or x = 5.250.
What is 0.333 rounded to the nearest thousandth?
0.333 rounded to the nearest thousandth is 0.333 (the same number) because rounding to the nearest thousandth implies keeping a precision of three decimals, which already exists for 0.333.