# Round to the Nearest Thousandth Calculator

If 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:

- Identify the
**digit at the thousandth position**(always the third digit after the decimal point); - Identify the
**number to the right of the thousandth position**; and - Apply the following rules:
- If the number to the right of the thousandth position is
**lower than 5**, we**leave the thousandth position as it is**. E.g.,**-0.1233 ≈ -0.123** - If the number to the right of the thousandth position is
**5 or greater**, we round**up**the thousandth digit. E.g.,**-0.1237 ≈ -0.124**.- Additionally, if the number to round (the third decimal) is 9, we change it to zero and increase the second decimal by one unit. E.g.,
**$3.0795 ≈ $3.080**and**$2.719212 ≈ $2.720**. - We do the same for the second and first decimals if they are 9. E.g.,
**$3.0995 ≈ $3.100**and**$2.999212 ≈ $3.000**.

- Additionally, if the number to round (the third decimal) is 9, we change it to zero and increase the second decimal by one unit. E.g.,

- If the number to the right of the thousandth position is

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 in the **advanced mode** of the calculator (learn more about them in our rounding 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.

## FAQ

### 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**.

- In this case, it's
- Identify
**the number to the right of the thousandth digit**:- In this case, it's
**5**

- In this case, it's
- 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**

- 4x -3 + 3 = 18 + 3 ⇒
- Divide both sides by
**4**:- 4x/4 = 21/4 ⇒
**x = 21/4**

- 4x/4 = 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.

Number | Approximation | |
---|---|---|

-0.1237 | ≈ | -0.124 |

-0.1235 | ≈ | -0.124 |

-0.1233 | ≈ | -0.123 |

0.4567 | ≈ | 0.457 |

0.4565 | ≈ | 0.457 |

0.4563 | ≈ | 0.456 |