Rounding Calculator
Our rounding calculator is the best calculator to round the numbers to one or more desired decimal places. It gives quick calculations of the number for your required decimal places. It can perform multiple rounding operations, such as:
- To the nearest one
- To the nearest 10th (one decimal place)
- To the nearest 100th (two decimal places)
- To the nearest 1000th (three decimal places)
- To the nearest 10, 100, and 1000
- To the nearest thousand, million, and trillion
With our rounding number calculator, the precision of a number can be reduced to make it easier, simple, and shorter to comprehend when needed for more complex operations. Most of the time, an accurate number such as 839.29744 is not needed, and 839.297, 839, or 839.30 are effectively useable. Put the number into this decimal rounder, and it will let you choose the precision or decimal place value of the given number.
Rules for rounding a number
There are specific rules for rounding a number, and these rules are almost the same for rounding to the nearest 10th, 100th or 1000th, etc.
- Results will be more precise if the decimal place value is smaller. So, identify a position for rounding your number.
- Check the digit on the right side of the position where you want to round your number which is the next smallest decimal place value. If you are rounding your number to the nearest hundred, check the tenth place value.
- If the next smallest digit is not greater than four or is less than five, don’t do anything with that digit. Leave it without changing the digit. Every number after that number is set to zero or removed if comes after the decimal point place. It is a rounding down process.
- Add one in the digit if the next digit is equal to five or higher than five. In simple words, add one to that digit. All digits before the decimal point are set to zero like in the previous step, and any digit is placed after decimal will be removed. It is the rounding up process.
Rounding Examples
Check out the rounding method for rounding a number to different decimal places. We will assume a specific number for all types of rounding. Let’s suppose that the number is 5678.
Round the number 5678 to the Nearest Hundred
- Identify the digit placed at the hundred position in the number 5678, which is 6.
- Identify the next smallest place value to 6, which is 7 in this case.
- Check if that digit is smaller or greater than 5. In this case, it is 7, which is greater than 5.
- Increase the digit places at 100th position by one, so 6 becomes 7, and every digit after 6 will become zero.
After rounding 5678 to the nearest hundred, it became 5700.
Round the number 5678 to the Nearest Ten
- First, identify the digit placed at position ten, which is 7 in 5678.
- Then, check the next smallest place value to 7, which is 8 in this case.
- Round that digit according to the rule mentioned above, i.e., adding 1 to the 7 or decreasing it by 1.
- The next digit which is 7 is greater than the digit at position ten. So, 1 will be added to 7, and all digits after 7 will become zero.
After rounding 5678 to the nearest ten, it became 5680.
Round the decimal number 567.8 to the Nearest Ten
- First of all, identify the digit located at ten place that is 6 in 567.8 in this case. Remember, units, tens, etc., start from the left of the decimal. Check the above image for the reference to the positions of digits in a decimal number.
- Now check the next smallest place value that is 7 in 567.8
- Round that digit according to the above-mentioned rule, i.e., adding 1 to the 6 or decreasing it by 1.
- The next smallest place value to 6 is 7 that is greater than 5. So, 1 will be added to 6, and all digits after 6 will become zero.
So, after rounding 567.8 to the nearest ten, it became 570.
Round the number 0.5678 to the Nearest Tenth
- First of all, identify the digit at the tenth position that is 5 in 0.5678
- Now check the next smallest place value that is 6 in this case.
- Repeat the third step, as mentioned in the above examples.
- The next smallest place value to 5 is 6 that is again greater than 5. So, 1 will be added to 5, and all digits after 5 will be removed.
After rounding 0.5678 to the nearest tenth, it became 0.6.
Round the number 5.678 to the Nearest Hundredth
- Rounding to the nearest hundredth is almost the same as tenth. First of all, identify the digit at hundredths place in 5.678 that is 7 in this case.
- Then, check the next smallest place value that is 8 in 5.678.
- Round that digit according to the above-mentioned rule, i.e., adding 1 to the 7 or decreasing it by 1.
- The next smallest place value to 7 is 8 that is greater than 5. So, 1 will be added to 7, and all digits after 7 will be dropped.
After rounding 5.678 to the nearest hundredth, it became 5.68.
Another Example for Rounding 728.363
- Rounding to the nearest thousand is 1,000
- Rounding to the nearest hundred is 700
- Rounding to the nearest ten is 830
- Rounding to the nearest one is 728
- Rounding to the nearest tenth is 738.4
- Rounding to the nearest hundredth is 728.36
- Rounding to the nearest thousandth is 728.363
Rounding a number to the nearest cent
A number can also be rounded to the nearest cent by finding the hundredths place in that number. After locating the hundredth place, check if the next digit is smaller or greater than 5. Add 1 to the digit in the hundredth place if it is greater than 5 or equal to five and remove all the digits after the hundredth placed digit. If the hundredth placed digit is less than 5, then drop all the digits that come after the hundredth digit.