Round to two decimal places Calculator

Enter a number including decimals that you want to round to the tenth, hundredth, thousandth or simply a long number that you want to round to the tens, hundreds or other

The purpose of the rounding is to find a simplified number of a complex number or difficult to manipulate. The simplification offered by the rounding makes it possible to better illustrate and calculate mentally larger or decimals numbers.

How to round a number

Round a whole number

In order to round a whole number you need to check the location of the number corresponding to the desired rounding in the number to be rounded.

Example

We use the number 53 643 that we want to round to the hundred.

1. Where are we going to round to the hundred? This position is 3 digits before the decimal point.
2. We must therefore take the 3rd digit of 53 643 which is 6.
3. According to the figure that is following (in our case the ten, or 53 643) we must validate if the latter is less than 5 (0,1,3 or 4) or is equal to or greater than 5 (5,6,7,8 or 9).
4. If the number is lower, then the number remains the same, if not, it must be increased by 1. In our case, the number 4 is less, the rounding is therefore 53 600.

Round a decimal

To round off a decimal number, check the position of the number corresponding to the desired rounding in the decimal number to be rounded.

Example

We use the number 6.592 that we want to round to the tenth.

1. Where are we going to round to the tenth? This position is 1 digit before the decimal point.
2. We must therefore take the first digit after the comma of 6,592 which is 5.
3. According to the figure that is following (in our case the hundredth, so 6,592) we must validate if it is less than 5 (0,1,3 or 4) or is equal to or greater than 5 (5,6,7,8 or 9)
4. If the number is lower, then the number remains the same, if not, it must be increased by 1. In our case, the number 9 is higher, so the rounding is 6.6

Rounded table of number

2020

2019

2018

2017

2016

2015

2014

For employee and individuals

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For businesses

Ontario

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Alberta

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Manitoba

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Ontario

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Saskatchewan

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2015-2022

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2022

2021

2020

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2019

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2018

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RRSP, annuities and insurance

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• RRSP contribution limit for 2020, 2019 revenus
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Paypal Canada

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Conversion / Converter

Conversion tools

Unit converters

Enter the number and select the rounding digits to calculate the approximate rounding value.

How to Calculate Rounding?

• Find the digit you want to round.
• Check the number before the rounding digit.
• If the previous number is less than 5 (1,2,3,4) no round needed.
• If the previous number is greater than 4 (5,6,7,8,9) round up and add 1.

Rounding to the Nearest Tenth

The tenth number is the first digit after decimal point. If the second digit is greater than or equal to 5 add 1 to calculate rounding to nearest tenth.

Example: 10,27
Second digit is 7, add 1 to 2, we get 10,3.

Rounding to the Nearest Hundredth

The hundredth number is the second digit after decimal point. If the third digit is greater than or equal to 5 add 1 to calculate rounding to nearest hundredth.

Example: 10,276
Third digit is 6, add 1 to 7, we get 10,28.

Rounding to the Nearest Thousandth

The thousandth number is the third digit after decimal point. If the fourth digit is greater than or equal to 5 add 1 to calculate rounding to nearest thousandth.

Example: 10,2762
Forth digit is 2, no need to add 1, we get 10,276.

Rounding to the Nearest Ones Whole Number

The ones number is the first digit before the decimal point. If the first digit after decimal point is greater than or equal to 5 add 1 to tens digit to calculate rounding to nearest ones number.

Example: 10,7
First digit after decimal point is 7, add 1 to 0 and we get 11.

Rounding to the Nearest Tens Whole Number

The tens number is the second digit before the decimal point. If the first digit before decimal point is greater than or equal to 5, add 1 to tens digit to calculate rounding to nearest tens number.

Example: 1067
Ones digit of the number is 7, add 1 tens digit and we get 1070.

This rounding numbers calculator can be used to decrease the precision of a number to make it shorter, simpler and/or easier to grasp when you perform further operations on it. It's often the case you don't need an exact number (such as 3324.238576) and would happily settle for 3324.34, 3324 or even 3300; this rounding decimals calculator will let you do just that. Simply enter a number and pick the desired precision from the list. If this isn't for you, you may pick a rounding mode.

Depending on the situation, you will want this rounding algorithm to behave appropriately. Sometimes you want to round everything up (2.1 would be rounded to 3). Sometimes you want exact halves to be rounded up in half of the cases and down in the other half, in order to for a higher chance of an average staying close to the truth. Here's the description of all modes, we'll round to the nearest whole number.

• up - rounds away from zero. 3.2 and 3.6 become 4, but -3.2 and -3.6 become -4.
• down - rounds towards zero. The above numbers become 3 and -3 respectively.
• ceil - rounds towards the larger number. It differs from rounding up by the way it handles negative numbers. Both -3.2 and -3.6 become -3.
• floor - it rounds towards the smaller number. Similarly, negative numbers go the opposite way than in the case of rounding down. -3.2 becomes -4. This principle is what our modulo calculator is based on.
• half up (default) - rounds towards the nearest neighbor. If equidistant, it rounds away from zero (just like in the up mode). For example, 3.5 becomes 4 and -3.5 becomes -4. This is how rounding is usually performed.
• half down - similarly to half up, it rounds to the nearest neighbor, unless it's equidistant - then it rounds towards zero (just like in the down mode). The above numbers become 3 and -3 respectively.
• half even - an interesting one. Rounds towards the nearest neighbor, but if equidistant, it rounds towards the even number. Both 1.5 and 2.5 are rounded to 2. 3.5 and 4.5 are rounded to 4. It prevents cumulative rounding errors and this is why it's often used in science (we use it as a default mode in our sig fig calculator. If you'd round up all the time, the average is too high... this is why we round up half the time. The same rule (for the same reason) is used in accounting. When you want to round to the nearest cent, just use the half even mode.
• half ceil - the nearest neighbor, equidistant values go towards the larger number.
• half floor - the nearest neighbor, equidistant towards the smaller number.

If all this text sounds daunting, here is a quick table where you can check and understand all the rounding modes available in the calculator, as well as some extras as a bonus. Credit where credit is due: this table has been taken from a very entertaining post on rounding algorithms by Max Maxfield, a recommended read.

To round a number to the nearest integer, you need to look at the value right after the decimal:

• If it is one of the numbers 0, 1, 2, 3, or 4, then we round down: cross out whatever comes after decimal and keep the part before decimal unchanged.
• If it is one of the numbers 5, 6, 7, 8, 9, then we round up: cross out whatever comes after decimal and increase the part before decimal by one.

According to the most popular rounding method, 7.5 is rounded up to 8. Whenever the value right after the decimal is less than 5, we round down; otherwise, we round up.

• 2.47 rounds to 2.5 if we round to the nearest tenth.
• 2.47 rounds to 2 if we round to the nearest integer.

We round numbers to make them simpler to understand and easier to perform further calculations with. Rounding produces numbers sufficiently close to the original values, so the message they carry is mostly kept. Of course, in some situations, greater accuracy is required – that's why sometimes we round to the nearest integer and sometimes to the nearest hundredth.