Welcome to round to the nearest integer. Here we discuss the rounding of numbers to the nearest integer, along with many examples.
In this article you can also find a state-of-the-art rounding calculator a few lines below.
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Round to the Nearest Integer Calculator
Insert the number you want to start with, then hit the “round” button. Note that you have the option to change the (normal) round mode to round up or round down if you make use of the mode menu, as detailed further down in this article.
Frequently rounded numbers include, for example:
- Round 96 to the Nearest Integer
- Round 94.379 to the Nearest Integer
- Round 4.996 to the Nearest Integer
What is the Nearest Integer?
The nearest integer of a decimal number is the value of that number once it has been rounded to the nearest counting number (a number without decimals or fractional parts, such as -1,0,1,2, …) depending on the value of the first digit (the tenths place located to the right of the decimal separator).
Frequently Asked Questions
- How to round to the nearest integer? If the value of the first digit place is less than five, simply remove the decimal separator and all digits. Else, increase the whole number ones place value by 1 and truncate the decimal point and the digits to the right of it.
- What does “round your answer to the nearest integer” mean? It means determining the whole number, a number with no decimal places and no fractional parts, which is closest to the input number you deal with.
- How do you round a fraction to the nearest integer? If the nominator of the proper fraction is equal or greater than half the denominator, round up to the nearest counting number. Else round down.
- What is 8.5 rounded to the nearest integer? As the first digit place value of 8.5 is 5, increase the digit in the integer ones place by 1, and then truncate the decimal separator and all digits after the whole number’s place: 8.5 → 9.
- How do you round off to nearest integer? Answer: If the first decimal value after the decimal point is equal to or greater than 5, round up to the nearest whole number. Else round down.
How to Round to the Nearest Integer?
To round a decimal number to the nearest integer examine the value of its first decimal digit. If the value is equal to 5 or greater, increase the value in the integers ones place by 1 and eliminate all digits. If the value is equal to 4 or less, simply remove all the digits and the decimal separator.
- 1.36: The first digit’s value is 3, so we round down: 1.36 → 1
- 15.8: The first decimal value is 8, so we round up: 15.8 → 16
- 11 Nothing to be done, the tenths’ value is 0.
In the table below you can find some numbers rounded to nearest integer.
|Number||Rounded to Nearest Integer|
If you are in doubt why a certain value in the table above has been rounded down or up, leave us a comment using the form at the bottom of this page.
Round Up to the Nearest Integer
If the digit at the first decimal place of a certain number is >= 5, then, as stated by the general rounding rules, you round up to the nearest integer. However, the term round up to the nearest integer means that all first decimal place values in between 1 and 9 are rounded up by adding 1 to the value in the integer ones place, and then deleting the decimal point and all digits.
Round Down to the Nearest Integer
If the digit at the first decimal place is < 5, then, as stated by the general rounding rules, you round down to the nearest integer. However, the term round down to the nearest integer means that first decimal place in between 1 and 9 are rounded down by deleting the decimal point and all digits.
Each and every resulting (rounded) number has always the same value as the input number, but its value is less exact.
Here you can learn how to round to the nearest tenth.
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