Round off is a type of estimation. Estimation is used in subjects like mathematics and physics. Round off means making a number simpler by keeping its value intact closer to the next number. Round off to nearest 10 is nothing but making the unit digits of the number to zero and getting the estimated nearest 10 for that number. Check the rules, detailed steps, and solved examples on rounding the numbers to the nearest 10.

## Round off to Nearest 10 – Definition

Round off is a process of making a number simpler to read and remember. It is done for the whole numbers, decimals for various places of tens, thousands, hundreds, etc. Round off to Nearest 10 means writing the nearest 10 of the given number. By using the Rounding Numbers to the Nearest 10, you can easily estimate the answer quickly and easily. It is also used to get the average score of people in the class.

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### Rules for Rounding Numbers to Nearest 10

We have two different rules for rounding numbers to the nearest 10. They are explained in the below modules

- Rule 1: When rounding the numbers to the nearest 10, if the digit in the unit’s place is less than 5 or between 0 and 4, then the unit’s place of the number is replaced by 0.
- Rule 2: If the digit in the unit’s place is greater than or equal to 5 or between 5 and 9, then the unit’s place is replaced by 0, and the tens place of the number is increased by 1.

### How to Round Numbers to Nearest 10?

Follow the below-listed procedure to learn Round off to Nearest 10. They are along the lines

- Get a whole number for rounding.
- Identify the digit in the unit’s place.
- If the digit is between 0 and 4, then place zero in the unit’s place of the number.
- If the digit is or 6 or 7 or 8 or 9, then place zero in the unit place and add 1 to the tens place of the number.
- Now, write the new number as a rounded or estimated number.

### Rounding to the Nearest Ten Examples

**Example 1:**

Round the following numbers to the nearest 10.

(i) 63

(ii) 578

(iii) 1052

**Solution:**

(i) The given number is 63

We see the digit in the unit place is 3 means that is less than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place.

Therefore, rounding off 63 to the nearest 10 is 60.

(ii) The given number is 578

We see the digit in the unit place is 8 means that is more than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place and increase digit in tens place by 1.

Therefore, rounding off 578 to the nearest 10 is 580.

(iii) The given number is 1052

We see the digit in the unit place is 2 means that is less than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place.

Therefore, rounding off 1052 to the nearest 10 is 1050.

**Example 2:**

Round off the below-mentioned numbers to the nearest 10.

(i) 167

(ii) 55

(iii) 109

**Solution:**

(i) The given number is 167

We see the digit in the unit place is 7 means that is greater than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place and increase digit in tens place by 1.

Therefore, the obtained number is 170.

(ii) The given number is 55

We see the digit in the unit place is 5 means that is equal to 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place and increase digit in tens place by 1.

Therefore, rounding off 55 to the nearest 10 is 60.

(iii) The given number is 109

We see the digit in the unit place is 9 means that is more than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place and increase digit in tens place by 1.

Therefore, round off 109 to the nearest 10 is 110.

**Example 3:**

Round off to Nearest 10.

(i) 221

(ii) 854

(iii) 57

**Solution:**

(i) The given number is 221

We see the digit in the unit place is 1 means that is lesser than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place.

Therefore, round off 221 to the nearest 10 is 220.

(ii) The given number is 854

We see the digit in the unit place is 4 means that is less than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place.

Therefore, round off 854 to the nearest 10 is 850.

(iii) The given number is 57

We see the digit in the unit place is 7 means that is more than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place and increase digit in tens place by 1.

Therefore, round off 57 to the nearest 10 is 60.

**Example 4:**

Round the following numbers to the nearest tens.

(i) 5526

(ii) 328

**Solution:**

(i) The given number is 5526

We see the digit in the unit place is 6 means that is more than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place and increase digit in tens place by 1.

Therefore, round off 5526 to the nearest 10 is 5530.

(ii) The given number is 328

We see the digit in the unit place is 8 means that is more than 5. So, we round to the nearest multiple of a ten which is less than the number. So place zero in the unit place and increase digit in tens place by 1.

Therefore, round off 328 to the nearest 10 is 330.