Rounding Calculator

Round off calculator

The rounding numbers calculator or number rounder is used to simplify a number to the required length.

This round off calculator contains a number of options including rounding to whole numbers and decimal places.

How to use the rounding calculator?

To use this round off calculator;

1. Enter the number.
2. Select the place value. (It is the value you want your number to round off to.)
3. Click Calculate.

Significant figures are closely related to rounding off. It is also possible to round a number with the perspective of the significant figures.

What is rounding off?

Rounding off is a technique used in maths and stats to reduce or extend a number to a certain place value, suitable to the conditions. For example:
 

4.0001 is rounded off to 4 and 56 can be rounded off as 56.00.
 

There are a number of reasons this technique is used. It is used to make numbers convenient for the calculation process. 

Another reason is to make multiple measurements of the same length to remove any precision error.

How to round off a number?

The most suitable way is to use the Rounding decimals calculator above. As far as the manual process is concerned, there are a number of steps you will need to carry out.

1. Choose a unit like ten, thousand, hundredth, etc.
2. See the number on the right side of your required unit, the place you are rounding off to.
3. If it is smaller than 5 then round down (Drop all the numbers on the right)
4. If it is equal to or greater than 5 then round up (Add 1 to the chosen unit value and drop the rest of the number).

Note: If the number is rounded off to a whole place value, the remaining digits are converted to zero and they remain a part of the number. While in decimal values, the numbers are simply dropped.

Round to the nearest hundredth (0.01):

Assume the number to be 456.321. Now,

1. Look for the hundredth place digit. The digit 2 is the hundredth place value.

2. See the right value to the 2. It is 1, a number smaller than 5.
3. This means you will have to Round down. 

The final result is 456.32. The last 1 was dropped due to rounding down.

Round to the nearest Tenth (0.1): 

Let’s take the number 78.781. Now,

1. Look for the tenth place digit. The digit 7 is the tenth place value.
2. See the right value to the 7. It is 8, a number greater than 5.
3. This means you will have to Round up. 

The final result is 78.8. The last 8 and 1 were dropped due to rounding up. And 1 was added into 7.

Round to the nearest ten (10):

All the steps are the same as before.

Example:

5678

Solution:

Step 1: Identify the ten place value.

It is 7.

Step 2: Roundoff.

8 is greater than 5 so the number will be rounded up.

The result is 5680.

Round to the nearest hundred (100):

The unit and ten values are changed to zero. See the example to learn more.

Example:

Round 45609.2 to the nearest hundred.

Solution:

Step 1: Recognize the hundred’s place.

The digit 6 is at the hundred’s place.

Step 2: Look for the number right next to it.

It is 0.

Step 3: Roundoff.

Nothing will be added to 6. The ten and unit digits will be turned to zero. While the number after the decimal point will be dropped.

The rounded form is 45600.

Use the Round off calculator to verify all of these examples.

Table of rounding to the nearest tenth