Round to the Nearest Hundredth

Rounding numbers means adjusting the digits of a number so that it gives an approximate value. In other words, while rounding numbers, we replace a number with an estimated value which is a simpler and a shorter representation of the given number. Rounding to the nearest hundredth means finding the approximate value of the given decimal number up to 2 decimal places. Let us learn more about rounding numbers to the nearest hundredth in this article.

Decimals can be rounded to the nearest ones, tenths, hundredths, thousandths, and so on. Rounding decimal numbers makes the calculation easier and the results can be simpler to understand in those cases where the exact values are not required. For rounding decimal numbers to the nearest hundredth, we need to know the decimal place values of the digits in the given number. This refers to the digits given before the decimal point as well as the digits given after the decimal point. It should be noted that when we round numbers to the nearest hundredth, we always use the thousandths place to decide whether the hundredths place will round up or will remain the same. Observe the decimal place value chart to understand this better.

It should be noted that when we round a decimal number to the nearest hundredth, the round decimal is said to be correct to two places of decimal. In other words, if we are asked to round off a number to two decimal places, it means we need to round it to the nearest hundredth.

When we round a decimal number to the nearest hundredth, we need to follow a certain set of rules and steps given below:

• Step 1: Observe the number that we need to round.
• Step 2: Since we need to round the given decimal number to the nearest hundredth, we mark the digit at the hundredths place.
• Step 3: Then, we observe the 'thousandths' place digit, which lies to the right of the hundredths column.
• Step 4: If the digit at the thousandths place is less than 5, we write the hundredths place digit as it is and remove all the digits to its right.
• Step 5: If the digit at the thousandths place is 5 or more than 5, we add 1 to the digit at the hundredths place, that is, we increase the hundredths place by 1 and remove all the digits to its right.

Let us take an example to round a number to the nearest hundredth.

Example: Round the given number to the nearest hundredths: 2.436.

Solution: We will use the given steps to round 2.436 to the nearest hundredth.

• We will observe the number that we need to round: 2.436.
• Since we need to round 2.436 to the nearest hundredth, we mark the digit at the hundredth place. Here, the digit in the hundredth place is 3, this means we will mark 3 in 2.436.
• Then, we observe the 'thousandths' place, which lies to the right of the hundredths column. Here, the digit in the thousandth place is 6.
• According to the rules, if the digit in the thousandth place is 5 or more than 5, we add 1 to the digit in the hundredth place, that is, we increase the hundredth place by 1 and remove all the digits to the right. In this case, the digit in the thousandth place is 6, which is more than 5. Therefore, the given number will be rounded to 2.44.

Related Topics

Check the following pages related to rounding to the nearest hundredth in math.

• Rounding to the Nearest Hundredth Calculator
• Round to the Nearest Thousand
• Round to the Nearest Tenth

What does Rounding to the Nearest Hundredth Mean?

Rounding a number means adjusting its digits in such a way that it gives an approximate value. This value is an easier representation of the given number. For rounding numbers to the nearest hundredth, we need to observe the place values after the decimal point. In other words, when we round to the nearest hundredth, we always use the thousandths place to decide whether the hundredths place will round up or will remain the same. If the digit in the thousandths place is less than 5, we write 0 in the thousandths place and in all the places to its right. If the digit in the thousandths place is 5 or more than 5, we add 1 to the digit in the hundredths place, that is, we increase the hundredths place by 1 and write 0 in all the digits to the right.

How to Round 1.625 to the Nearest Hundredth?

In order to round 1.625 to the nearest hundredth, we will check the thousandths place. Here, the digit in the thousandths place is 5. Therefore, we will add 1 to the digit in the hundredths place, that is, 2 + 1 = 3, and write 0 in the digits to the right. So, 1.625 will be rounded to 1.63.

How to Round 0.698 to the Nearest Hundredth?

When we round decimal numbers to the nearest hundredths, we need to check the thousandths place. In this case, the digit in the thousandths place is 8, which is more than 5. So, we will add 1 to the digit in the hundredths place, that is, 9 +1 = 10, and write 0 in the digits to the right. Now, since we can write only one digit in every column, the '1' of 10 will be carried over to the preceding column and added to it. So, 0.698 will be rounded to 0.70.

What is 4.537 Rounded to the Nearest Hundredth?

In order to round 4.537 to the nearest hundredth, we will observe the thousandths digit. In this case, it is 7, which is more than 5. So, we will add 1 to the digit in the hundredths place and the remaining digits to the right will be changed to 0. Therefore, 4.537 will be rounded to 4.54.

What is 129.253 Rounded to the Nearest Hundredth?

When we round decimal numbers to the nearest hundredths, we need to check the thousandths place. In this case, 129.253, the digit in the thousandths place is 3, which is less than 5. So, we keep the digit in the hundredths place the same, and write 0 in all the digits to the right. Therefore, 129.253 will be rounded to 129.25.

What are the Rules for Rounding Decimals to the Nearest Hundredth?

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

• Observe the number that we need to round.
• Since we need to round the given decimal to the nearest hundredth, we mark the digit at the hundredths place.
• Then, we observe the 'thousandths' place, which lies to the right of the hundredths column.
• If the digit in the thousandths place is less than 5, we write 0 in the thousandths place and in all the places to its right, i.e., after the thousandths place (ten-thousandths, hundred thousandths, etc.).
• If the digit in the thousandths place is 5 or more than 5, we increase the hundredths place by 1 and write 0 in all the digits to the right, that is the thousandths place, the ten-thousandths place, and so on.

How to Round Decimals to the Nearest Hundredth?

Decimal numbers can be rounded to the nearest hundredth by observing the digit in the thousandths place. This means, when we round numbers to the nearest hundredth, we check the thousandths place. If the digit in the thousandths place is less than 5, we write 0 in the thousandths place and in all the places to its right. If the digit in the thousandths place is 5 or more than 5, we increase the hundredths place by 1 and write 0 in all the digits to the right.