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".
Rounding Number
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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 tenth, hundred and thousand (10, 100, 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 tenth, 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, the 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.

Now, what if we rounded 271,403 to the nearest hundred thousand? Let's check the steps?

  • First, get started rounding the number to the nearest tenth. In the given number, the most right digit is 3. According to the rounding number rules, 3 is less than 5, so the number to the left of 3 i-e 0 will not change. Hence the number 271,403 would become 271,400
  • After doing the step for the nearest tenth, initiate the rounding process for the nearest hundred. Again w.r.t the rules in the number 271,400, the required nearest tenth number is already 0, so the value will remain the same. Hence the number will be 271,400.
  • Now round number to the nearest thousand so in 271,400, 4 is on hundred places i-e less than 5, by following rules there will be no change to the number on the left of 4 i-e 1. Hence the number will become 271,000.
  • Now further roundoff the number to the nearest tenth thousand, so according to the current scenario, the number at the thousand places is 1, which is less than 5. So the number at the left of 1 i-e 7 will not change. Hence the number will now become 270,000.
  • Now in the last round, the number to the nearest hundred thousand, in the current value 270,000 the number at the thousand places is 7 which is greater than 5 so add 1 to the left number of 7 i-e 2, so it will become 3. Hence after the addition of 1, the number will be 300,000.

So, according to the above solution, 300,000 is the nearest hundred thousand of 271,403. You can also use the above calculator to solve these rounding processes in seconds.

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.

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