# Rounding Calculator

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The rounding calculator is used to round large numbers in a short time to the required unit. For example, if you want to round a number in a hundred thousand to tenth, you can use this calculator.

## How to use the rounding numbers calculator?

To use the number and decimal rounder:

1. Enter the number.
2. Choose the unit to which you want to round up the number.
3. Click "Calculate".

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## Basic rules to round numbers

The process to round off numbers comprises several steps. Here are some rules that you need to use while rounding numbers.

### 1.  The rule of less than 5 and 5 or greater than 5

The process of rounding uses “5” as the benchmark digit. If a number is less than 5, nothing is added to the number on its left and it is replaced by 0. Similarly, if the number is greater than 5, “1” is added to the number on the left.

### 2. Check the unit to which the rounding has to be done

If there is a number “4255”, and it has to be rounded off to the nearest 10, only the 5 on the extreme right would be dropped and 1 would be added to the 5 on its left.

For instance, if you consider the 4255, it would be 4260 when rounded off to the nearest tenth. Similarly, if it has to be rounded off to the nearest hundred, it would be 4300.

## Rounding to the nearest tenth, hundred, and thousand place

Consider that we have the number 5776 and it has to be rounded off to the nearest 10, 100, and 1000. Let us check the steps that are to be completed by the user.

• You need to start by rounding the number to tenth. The number on the extreme right is 6. According to the regulations of rounding, it is greater than 5. The number on the left of 6 is 7 so 1 would be added to it. Hence, the number 5776 would become 5780.

• Once you have rounded off the number to the hundred, initiate the process to round it off to the nearest hundred. In the number, 5780, the required digit is 8. As this digit is greater than 5, 1 will be added to the number on its left. In this case, this number is 7. Thus, when 5780 will be rounded off to the nearest hundred, it would be 5800.

• Now, if you want to further round it off to the nearest thousand, the number will be 6000. it is because the digit 8 is greater than 5 so 1 would be added to the 5 of the number.

## Rounding in decimals and significant numbers

When you talk about rounding decimals, you need to understand the rules of significant figures. For instance, if the number 0.4556 has to be rounded off to 3 significant figures, the rounding would involve specific regulations.

Here are the rules which you need to use for significant figures.

### 1. All non-zero numbers are significant

This simply means that any number greater than zero would be counted as significant. If you have the number 0.4521, it would have four significant numbers. If you have to round it off to 3 significant digits, the 1 on the extreme right will be dropped as it is less than 5. Hence, 0.4521 rounded off to three significant digits will be 0.452.

### 2. The zero between two non-zero numbers will be counted as significant

If you have the number 0.452, the number of significant numbers is 3. Similarly, the number 0.4025 has four significant digits. Here, the zero between 4 and 2 is counted as a significant digit because it is present between two non-zero numbers.

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Priscilla M. Harrington | 22/08/2019

Nice, Very good and simple round calculator. Thanks for developing it.