Round to the Nearest Tenth

Round to the nearest tenth means to write the given decimal number up to one decimal place. This is done in such a way that after rounding off, there is one digit after the decimal point. In order to round to the nearest tenth, we need to look for the digit on the 'tenths' place and observe the digit towards its right in the given number. The position of the first digit after the decimal point is considered as the tenths place. Let us learn how to round to the nearest tenth and the rules associated with it.

To round a number to the nearest tenth, we need to look to the right of the tenths place, which is the hundredths place. If the digit in the hundredths place is 5 or greater than 5, we need to add one to the digit in the tenths place. If it is 4 or less than 4, the tenths place digit remains the same. All the digits to the right of the tenths place should be changed to 0. That means, while rounding off a number to the nearest tenth, we will stop the rounding at the tenths place.

For example, 7.57 can be rounded to 7.6 because the digit in the hundredths place is 7, which is greater than 5. Similarly, 3.592 would be rounded to 3.6, because the digit in the hundredths place is greater than 5.

Now, let us consider the case where the digit in the hundredths place is 4 or less than 4.

For example, 2.23 would be rounded to 2.2, because the digit in the hundredths place is 3, which is less than 5.

When we round a decimal number to the nearest tenth, we need to follow a certain set of rules mentioned below.

• Observe the number that we need to round. This is the number in the tenths place, that is, the first number right after the decimal point.
• After marking the digit at the tenths place, observe the digit in the 'hundredths' place, which lies to the right of the digit in the tenths place.
• If the digit in the hundredths place is less than 5, the tenths place digit remains unchanged, and we write 0 in the hundredths place and in all the places to its right.
• If the digit in the hundredths place is 5 or greater than 5, we add 1 to the digit in the tenths place, that is, we increase the tenths place by 1 and write 0 in all the digits to the right.

Now, let us apply these rules and see how to round to the nearest tenth in the following section.

Let us consider an illustration to understand the calculation of rounding to the nearest tenth. We should remember the rule of adding 1 to the digit in the tenths place if the digit in the hundredths place is greater than or equal to 5. In case if it is less than 5, we can leave the digit in the tenths place as it is and place zero in the following numbers.

Example: Round 143.57 to the nearest tenth.

Solution: The first number towards the right of the decimal point is the tenths digit, which is 5 in this case. The second digit after the decimal point is 7 which is greater than 5. In this case, we need to add 1 to the digit 5.

Therefore, we get, 143.57 = 143.6

Here is a list of a few numbers along with the number rounded to the nearest tenth for your reference.

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Let us take a look at a few examples to better understand the procedure of rounding to the nearest tenth.

What does Round to the Nearest Tenth Mean?

Rounding to the nearest tenth means adjusting the given number to an approximate value without changing the whole part of the number. For rounding numbers to the nearest tenth, we need to observe the place values after the decimal point. For example, to round 3.864 to the nearest tenth, we get 3.9

What are the Rules for Rounding to the Nearest Tenth?

The rules for rounding numbers to the nearest tenth are as follows:

• In order to round a number to the nearest tenth, we need to check the digit (of decimal part) to the immediate right of the tenths place, that is the hundredths place.
• If the digit in the hundredths place is less than 5, we do not change the digit on the tenths place. However, all the digits to the right of the thousands place are changed to 0.
• If the digit in the hundredths place is 5 or more than 5, we increase the tenths place by 1, and all the digits to the right of the tenths place are changed to 0.

How to Round to the Nearest Tenth?

A number is rounded to the nearest tenth by checking the digit in the hundredths place in the decimal part. Let us understand the steps of the whole procedure with the help of an example. Let us round 8.76 to the nearest tenth.

• Step 1: Mark the tenths place in number that we need to round. In order to round 8.76 to the nearest tenth, we will mark 7, which is in the tenths place.
• Step 2: Since we need to round 8.76 to the nearest tenths, we need to observe the digit in the hundredths place, which lies to the right of the 7. Here, the digit in the hundredths place is 6.
• Step 3: According to the rules, if the digit in the hundredths place is greater than 5, then the digit in the tenths place will be + 1. In this case, the digit in the hundredths place is 6, which is greater than 5. Therefore, the tenths place digit will be 7 + 1 and the number 8.76 will be rounded off as 8.8.

How to Round 0.69 to the Nearest Tenth?

When we round decimal numbers to the nearest tenths, we need to check the hundredths place. In this case, the digit in the hundredths place is 9, which is more than 5. So, we will add 1 to the digit in the tenths place, that is, 6 + 1 = 7, and write 0 in the digits to the right. So, 0.69 will be rounded to 0.7

What is 4.53 Rounded to the Nearest Tenth?

In order to round 4.53 to the nearest tenth, we will observe the digit in the hundredths place. In this case, it is 3, which is less than 5. So, we will keep the digits as it is. Therefore, 4.53 will be rounded to 4.5

What is 129.25 Rounded to the Nearest Tenth?

In order to round 129.25 to the nearest tenth, we need to check the digit in the hundredths place, which is 5. As per rounding off rules, since the digit in the hundredths place is equal to 5, we will add 1 to the tenths place digit and drop the digit in the hundredths place. So 129.25 is rounded to 129.3.

How to Convert the Fraction to a Decimal and Round to the Nearest Tenth 2\(\dfrac{1}{6}\)?

The given fraction \(2 \dfrac{1}{6}\) is a mixed fraction. Let us first change the mixed fraction to an improper fraction and then convert it to a decimal number. This will become 13/6. After dividing 13 by 6 which will be, 13 ÷ 6 = 2.166. Now, we can round this decimal number to the nearest tenth. For this, we will check the hundredths place, which is 6 in this case. Since 6 is greater than 5, the rounded number will be 2.2