This topic would discuss about correcting to two decimal places or rounding off to nearest hundredths. It is very similar to the last topic discussed that is correcting to one decimal place. We would provide the learners with various examples along with proper explanation which would help them in understanding the concept.

**Here are the rules for correcting decimals to two decimal places**

For the purpose of correcting to two decimal places we need to consider the thousandths digit

**Rule I:** If the thousandths digit is 0, 1, 2, 3, or 4 then the subsequent digits after the hundredths digit would be replaced by 0

**Rule II:** If the thousandths digit is 5 or more than 5 then the hundredths digit would be increased by 1 and all other subsequent digits after tenths digit would be replaced by 0.

**Here are few examples illustrating correcting of decimal numbers to two decimal place**

**1. Correct the following numbers upto two decimal places:**

(i) 156.235

(ii) 5.963

(iii) 742.568

(iv) 56.389

**Solution:**

**(i)** 156.240

5 is in thousandths place and we know that if the thousandths digit is 5 or more than 5 then the hundredths digit is increased by 1 and the subsequent digits after that is replaced by 0. So, 156.235 would be rounded off to 156.240

**(ii)** 5.960

In 5.963, 3 is in thousandths place which is less than 5 hence the subsequent digits after the hundredths digit is replaced by 0. 5.963 is corrected to two decimal as 5.960.

**(iii)** 742.570

The thousandths digit is 8 which is more than 5 and hence the hundredths digit would be increased by 1 and all the subsequent digits after the hundredths digits would be replaced by 0. Hence 742.568 would be rounded off to 742.570.

**(iv)** 56.390

56.389 will be rounded off to 56.390 as the digit in thousandths place is more than 5 so the digit in hundredths place will be increased by 1 and the subsequent digits after that would be replaced by 0. Hence, 56.389 would be rounded off to 56.390.

**2. Correct the following numbers upto two decimal places:**

(i) 4563.0456

(ii) 4154.0798

(iii) 1742.5605

**Solution:**

**(i)** 4563.0500

The thousandths digit is 5 and we know that if the thousandths digit is 5 or more than 5 then the hundredths digit is increased by 1 and the subsequent digits after the hundredths digit is replaced by 0. Hence, 4563.0456 is rounded off to 4563.0500.

**(ii)** 4154.0800

4154.0798 would be corrected to two decimal places as 4154.0800 as the number in thousandths place is 9 which is more than 5 hence the hundredths digit would be increased by 1 and subsequent after that is replaced by 0.

**(iii)** 1742.5600

The digit at thousandths place is 0 which is less than 5 and we know that if the digit at thousandths place is less than 5 then the subsequent digits after the hundredths digit is replaced by 0. Hence, 1742.5605 should be corrected to two decimal place as 1742.5600.

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