# Rounding Calculator

URL: https://speedycalculator.com/calculators/math/rounding/
Last updated: 2026-10-25

> The rounding calculator rounds a number to a chosen number of decimal places, and also shows rounding up (ceiling), rounding down (floor), and rounding to the nearest ten, hundred or thousand.

## Inputs

- Number
- Decimal places

## Results

- Rounded
- Rounded up
- Rounded down
- Nearest 10
- Nearest 100
- Nearest 1,000

## Formula

```
Round(x, d) = round(x × 10^d) ÷ 10^d
```

## Explanation

Rounding keeps numbers readable while staying close to their true value.

### How to use the Rounding Calculator

- **Number**
- **Decimal places**

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Standard rounding goes to the nearest value, with halves rounded away from zero for positive numbers.

### Inputs explained

FieldWhat to enterNumberA numberDecimal placesA number

### What each result means

- **Rounded** = round([Number], [Decimal places])
- **Rounded up** = ceil([Number] × 10^[Decimal places]) ÷ 10^[Decimal places]
- **Rounded down** = floor([Number] × 10^[Decimal places]) ÷ 10^[Decimal places]
- **Nearest 10** = round([Number]÷10)×10
- **Nearest 100** = round([Number]÷100)×100
- **Nearest 1,000** = round([Number]÷1000)×1000

### Example values

How the main result changes when **Number** changes and everything else stays at the example values above:

NumberRounded1,728.391,728.392,592.592,592.593,456.793,456.794,320.994,320.995,185.185,185.186,913.586,913.58

## Worked example

Inputs — Number: 3,456.7891; Decimal places: 2.

Results — **Rounded = 3,456.79**; Rounded up = 3,456.79; Rounded down = 3,456.78; Nearest 10 = 3460; Nearest 100 = 3500; Nearest 1,000 = 3000.

## FAQ

**What is banker’s rounding?**
Rounding halves to the nearest even digit to reduce bias; this calculator rounds halves up.

**How do I round to significant figures?**
Use the significant figures calculator.

**What formula does the Rounding Calculator use?**
Round(x, d) = round(x × 10^d) ÷ 10^d.