# Rounding Calculator: What is it and how does it work?

## What is a Rounding Calculator?

A prime purpose of a rounding calculator is to create a simplified version of any complex decimal number or numbers that are very difficult when it comes to manipulation. The process of simplification catered by this rounding calculator makes it easier to properly illustrate as well as calculate the mentally larger numbers or the decimal numbers.

## How to round numbers?

### Basic rules for rounding off a number

When you say the phrase, “Round to the Nearest______”, regardless of anything that fills in the blanks, the procedure is always basically the same.

• Identify the place value to which you want the number to be rounded off. The smaller your place value, the higher the accuracy of the final resultant number.
• Look for the nearest place value which is the smallest. This is the digit which is at the right place to the value being rounded off to. Say for example, when rounding off to closest ten, you need to check for the number’s one's place.
• If the number in the figure’s nearest place value is below 5 which includes numbers 0 to 4, you need to leave this digit as it is. Any digit, if there after this number automatically becomes zero. It can also be dropped off depending on the requirement, i.e. if they are located just after the number’s decimal point. This particular method is called rounding down.
• Now, if the nearest place value is noted to be greater than 5 or equal to 5, you need to increase the digit’s value and round it off by adding 1. Just like the previous step, any pending digit prior to the number’s decimal point shall become zero and all the numbers after decimal point need to be dropped off. This method is termed as rounding up.

## Rounding any whole number

If you want to round off any whole number, you have to check for the exact location of this number in correspondence to its desired rounding with respect to the number it needs to be simplified to. Here is an example to explain how this number rounder works.

Example:
To explain this rounding off process, we use this number 52744 which needs to be rounded off to the nearest hundred.
• Where should you round off when it comes to closing off to the closest hundred? This particular position is at 3 digits prior to the main decimal point.
• When you round to the nearest hundredth calculator, you need to take to the third digit in the number 52744 which is 7.
• Now take a look at figure 7 and the number which is right next to it. Now notice whether this number in the 10th place is bigger than 5 or less than 5.
• Now, if this number is less than 5, it shall remain the same. However, if it exceeds 5, it needs to be rounded off with 1 number increased. In this case, the number right next of 7 is 4 which is less. This leads to a rounded off number 52700.

## Rounding off a decimal

If you are wondering how the decimal rounder functions, you need to check for the number’s position in correspondence to the required rounding for decimal number.

Example:
Here we can use the number 7.582 as an example to be rounded off to the 10th place.
• Where should we round off this number when looking for the 10th place? This particular position is actually 1 digit prior to the given decimal point.
• This is why we need to pick the 1st digit after the decimal point in 7.582 which here is 5.
• According to the following figure, you need to determine if the number next to it is less or more than 5.
• If this number is lower, it remains exact. However, in case it is more than 5, it shall be X+1. In this case, the number is 8 which is actually higher than 5 makes the rounding off process to the higher number which is 7.6.

## Round to the nearest tenth calculator

When rounding off the nearest 10th with use of the rounding calculator, here are the steps you need to follow. In order to use the round to the nearest thousand calculators, you can follow a similar procedure.

Example:
For understanding this method, we are using the number 0.63.
• Identify the 10th digit in the number which is 6.
• Now, identify the nearest place value which is the smallest. Here, it is 3 in 0.63.
• Now, check whether this digit is less, equal or more than 5.
• Here, it is less than 5. So, you need to round down.
• Now, the 10th digit shall remain the same which is 6. Any remaining digits after that shall be dropped off.
• The final rounded off number is 0.6.

## Round to the nearest hundredth Calculator

• First thing you need to do when rounding off to the nearest hundredth digit is to identify the digit in the hundredths place. In this case, we will select the number 0.644
• Now, the number in the hundredths place is 4.
• The next step is to identify the next place value which is the smallest. In this case, it is 4.
• Now check whether it is greater than 5 or the same as 5. If the answer is no, you need to round down the number.
• In this case, 4 is less than 5. So you have to round down. The digit at the hundredth place will remain as it is. Rest all the number after that will be dropped.
• Hence the resultant number is 0.64

## Round to the nearest thousandth Calculator

• The procedure for rounding off to the closest thousandth is the same.
• First, identify the number in the thousandth place.
• Say for example we choose the number 0.1443
• In this case, the digit in the thousandth place is 4
• Now look for the next place value.
• Check whether it is more than 5 or less
• In this case, the number is 3 which is less than 5
• So you need to round down which results in the number 0.144

## Rounded Table for Numbers with respect to place

Rounding Off Place Corresponding Number The number before and after decimal
Million 1000000 7
Hundred Thousand 100000 6
Ten Thousand 10000 5
Thousand 1000 4
Hundred 100 3
Ten 10 2
Unit 1 1
Tenth 0.1 -1
Hundredth 0.01 -2
Thousandth 0.001 -3
Ten Thousandth 0.0001 -4
Hundred Thousandth 0.00001 -5
Millionth 0.000001 -6

## How does the rounding calculator aid in rounding off numbers?

The rounding calculator is used for computing a rounded off number by certain decimal numbers between 0 and 9 depending upon the figure given.
To test it out, you can easily generate any random number using decimals; now input this number within this form. Now select the option for rounding off.
So, it returns the given rounding off results:

• Closest Whole Number
• Nearest 10th Number
• Closest 100th Number
• Closest 1000th Number
• Nearest 10,000th Number
• Closest 100,000th Number
• Nearest 1,000,000th Number
• Closest 10,000,000th Number
• Nearest 100,000,000th Number
• Nearest 1,000,000,000th Number