Do you want to round numbers to one decimal place? If yes, then stay on this page. Here we will discuss how to correct to one decimal place. Rounding off is a type of estimation. We generally use estimation in everyday life and also in maths, physics subjects. You will also learn rounding decimals to the nearest tenth, rules, and example questions with the solutions in the following sections.

Correct to One Decimal Place – Definition

Correct to one decimal place is also known as round off to the nearest tenths. The rounding decimals technique is used to find the approximate values of a decimal number. Here the decimal numbers are rounded to the one decimal place to make them easier to read, understand instead of having lengthy string decimal places.

Rules for Rounding Decimals to Nearest Tenths or Rounding off to One Decimal Place

To correct the decimals to the nearest tenths, you have to check the below-mentioned rules.

• Rule 1: If the digit in the hundredths place of the number is lesser than 5, then remove the following digits or substitute 0 in place of them.
• Rule 2: If the digit in the hundredths of the number is equal to or greater than 5, then the digit in the tenths place is increased by 1 and the following digits are replaced by 0.

How to Round to One Decimal Place?

Have a look at the detailed step-by-step process on correct to one decimal place in the further sections.

• Identify the number to which you need to round off to the nearest tenths.
• Observe the digit in the hundredths position of the given number.
• If the observed digit is less than 5 i.e 0, 1, 2, 3, 4 then replace the following digits with 0.
• When the digit is more than 5 i.e 5, 6, 7, 8, 9 then add 1 to the digit in the tenths place and remove the following digits.

Rounding to 1 Decimal Place Examples

Example 1:

Round off the following numbers to one decimal place.

(a) 5.256

(b) 17.89

(c) 146.36

Solution:

(a) The given decimal number is 5.256

We see the digit in the hundredths place is 5 then round it to the nearest tenths which is greater than the given decimal number. Since 5 = 5 then the decimal number is rounded to 5.3.

Therefore, the solution is 5.3

(b) The given decimal number is 17.89

We can identify the digit in the hundredths place is 9 then round it to the nearest hundredths which is greater than the given decimal number. Since 9 > 5 then the decimal number is rounded to 17.80.

Therefore, the solution is 17.8.

(c) The given decimal number is 146.36

We see the digit in the hundredths place is 6 then round it to the nearest tenths which is greater than the given decimal number. Since 6 > 5 then the decimal number is rounded to 146.4.

Therefore, the solution is 146.4.

Example 2:

Round off the numbers to the nearest tenths.

(i) 14.732

(ii) 80.75

(iii) 16.54

Solution:

(i) The given decimal number is 14.732

We see the digit in the hundredths place is 3 then round it to the nearest tenths which is smaller than the given decimal number. Since 3 < 5 then the decimal number is rounded to 14.7.

(ii) The given decimal number is 80.75

The digit in the hundredths place is 5. ie equal to 5

Increase the digit in the tenths place by 1 and replace the following digits by 0.

The rounded number is 80.8.

(iii) The given decimal number is 16.54

We see the digit in the hundredths place is 4 then round it to the nearest tenths which is smaller than the given decimal number. Since 4 < 5 then the decimal number is rounded to 16.5.

Example 3:

Correct the following to one decimal place.

(i) 185.04

(ii) 77.49

(iii) 111.12

Solution:

(i) The given decimal number is 185.04

We can identify the digit in the hundredths place is 4 then round it to the nearest hundredths which is smaller than the given decimal number. Since 4 < 5 then the decimal number is rounded to 185.0.

Therefore, the solution is 185.0

(ii) The given decimal number is 77.49

We can identify the digit in the hundredths place is 9 then round it to the nearest hundredths which is greater than the given decimal number. Since 9 > 5 then the decimal number is rounded to 77.5.

Therefore, the solution is 77.5

(iii) The given decimal number is 111.12

We can identify the digit in the hundredths place is 2 then round it to the nearest hundredths which is smaller than the given decimal number. Since 2 < 5 then the decimal number is rounded to 111.1.

Therefore, the solution is 111.1.