How to solve a problem in which rounding to the nearest integer should be performed? As soon as we need to round numbers to the nearest whole number, the number we are rounding with certainty is decimal.
Rule for rounding to the nearest integer
When rounding a decimal number to the nearest whole number, you should:
- First we perceive the digit that is in the first decimal place of the decimal number.
- If the digit is 0, 1, 2, 3, or 4 (less than 5), then we round the number to the whole number that precedes it, that is, we do not change the whole part of the decimal number.
- If the digit is 5, 6, 7, 8 or 9 (5 or greater than 5), then we round the number to the whole number that follows (greater than the given one), that is, we add +1 to the units place.
In short, the entire decimal part of the number remains the same if the first decimal is from 0 to 4, or we increase it by +1 if the first decimal is from 5 to 9!
Examples
Example 1: Which whole number is closest to the given decimal number below?
4.7
The number 4.7 contains the digit 7 in the first decimal place. Because 7 is a greater number than 5, it follows that we will add +1 to the units placed in the number 4.7 (4+1=5). Therefore, when rounding the number 4.7, we get the number 5!
Example 2: Round the decimal number to the nearest whole number!
18,24
The number 18.24 contains the digit 2 in the first decimal place. Because 2 is a smaller number than 5, it follows that we do not change the units digit in the number 18.24. That’s why when rounding the number 18,24 we get the number 18!
Example 3: What is the nearest whole number to the given decimal number below?
25,693
The number 25,693 contains the digit 6 in the first decimal place. Because 6 is a greater number than 5, it follows that we will add +1 to the units placed in the number 25 (5+1=6). That’s why when rounding the number 25,693 we get the number 26!
Example 4: Which whole number is closest to the given decimal number below?
731.5386
The number 731.5386 contains the digit 5 in the first decimal place. Because 5 is equal to 5, it follows that we will add +1 (1+1=2) to the units placed in the number 731.5386. Therefore, when rounding the number 731.5386, we get the number 732!
Video examples
In the video below you can see more examples of rounding for given decimal numbers!
The rounding rule can be used to round to any decimal place!
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