Rounding is making a number simple but keeping its value nearest to what it was. The result of round-off is less accurate and easier to use especially while doing arithmetical operations. Likewise, rounding a number to the nearest hundred means making the units and tens place zeros and either increasing or decreasing the remaining part of the number by 1. Students can get the solved examples questions, definitions, and round-off rules in the below-mentioned sections of this page.

## Round off to Nearest 100

Round off to the Nearest 100 is a process where you need to convert the given number into an easy form for various reasons. The obtained easy number is not the actual value but is an approximate value of the original number. Rounding to the nearest hundred means, you need to convert the given number to the nearest 100.

The purpose of rounding the numbers is it makes the numbers easier to understand and remember, the calculations become easier. The application of rounding is when you want to estimate an answer or try to find the most sensible guess, then rounding is used.

### Rules for Rounding Numbers to Nearest 100

- Rule 1: While round off to nearest 100, if the digit in the tens place is between 0 to 4 or <5, then the tens place is replaced by 0.
- Rule 2: If the digit in the unit’s place is equal to 5 or greater than 5, then the tens place is replaced by 0 and the hundreds place is increased by 1.

### How to Round Numbers to Nearest Hundred?

Get the detailed steps to rounding to the nearest 100. They are along the lines

- Get the number we want to round.
- Identify the digit in the tens place.
- If the digit in the tens place is less than 5, then place zero’s in the tens, units place of the number.
- If the digit in the tens place is more than or equal to 5, then place zero’s in the tens and units place, increase the hundredth place digit by 1.
- Now, write the obtained number.

Also, Read: Rounding Decimals to Nearest Whole Number

### Examples on Rounding Numbers to Nearest 100

**Example 1:**

Round the following numbers to the nearest 100.

(i) 148

(ii) 5520

(iii) 95

**Solution:**

(i) 148

Given number is 148

We see the digit in the tens place is 4 means that is less than 5. So, we round to the nearest multiple of a hundred which is less than the number. Keep zeros in the units and tens place.

Therefore, rounding of 148 to the nearest 100 is 100.

(ii) 5520

Given number is 5520

We can see that the digit in tens place is 2 which is less than 2. So, keep zero’s in the tens, units place, and write the remaining digits as it is.

Therefore, rounding of 5520 to the nearest 100 is 5500.

(iii) 95

Given number is 95

The tens digit of the given number is 9 that is more than 5. So, we need to place zeros in the tens, units place and increase the hundreds digit by 1. So, the obtained number is 100.

**Example 2:**

Round the following numbers to the nearest hundred.

(i) 696

(ii) 1,00,678

(iii) 12,05,896

**Solution:**

(i)696

Given number is 696

The digit in the tens place of the original number is 9. So, increase the hundreds digit by 1 and place zeros in the units, tens place.

Therefore, the obtained number is 700.

(ii) 1,00,678

Given number is 1,00,678

We can identify that the digit in the tens place of the number is 7 i.e > 5. Therefore, increase the digit in the hundreds place of the number by 1 and put zeros in the units, tens places.

Hence, the rounding off 1,00,678 to the nearest hundred is 1,00,700.

(iii) 12,05,896

Given number is 12,05,896

We see the digit in the tens place is 8, we round to the nearest multiple of hundred which is greater than the number. Hence, 12,05,896 is nearer to 12,05,900 than 12,05,800.

**Example 3:**

Round of To Nearest 100.

(i) 50

(ii) 255

(iii) 510

**Solution:**

(i) 50

Given number is 50

The digit in the tens position of the given number is 5. So, increase the hundreds position of the number by 1, place zeros in the tens, units place.

So, the round-off 50 to the nearest 100 is 100.

(ii) 255

Given number is 255

We choose the two multiple of 100 just greater than and just less than 255.

The nearest hundreds of 255 are 200, 300

255 – 200 = 55

300 – 255 = 45

As 300 has the lowest difference value.

So, 300 is the nearest 100 for 255.

(iii) 510

Given number is 510

We see the digit in the tens place is 1, we round to the nearest multiple of hundred which is less than the number. Hence, 510 is nearer to 500 than 600.