Rounding Decimals

Are you seeking help on the Rounding Decimals Concept? If so you have landed on the right page where you can get a complete idea on Rounding Off Decimals definition, how to round off, etc. After going through this article, you will be well versed with details such as How to round decimals to the nearest whole number, how to round decimals to the nearest tenths, how to round decimals to the nearest hundredths along with sample problems on the same for better understanding.

Also, Read:

What is Rounding Off Decimals?

Rounding Off Decimals is a technique used for estimation or to find the approximate values and limit a decimal to certain places. While Rounding a decimal check the next digit in the decimal place if it is less than 5 round down and if the digit is greater than or equal to 5 round-up. In general, Decimals are Rounded to a Specified Place so that it’s easy to understand instead of having a long string of decimal places.

  • Rounding Decimals to the Nearest Whole Number
  • Rounding Decimals to the Nearest Tenths or Round to One Decimal Place
  • Rounding Decimals to the Nearest Thousandths or Round to Two Decimal Places

Rounding Decimals to the Nearest Whole Number

Follow the below provided steps to round decimals to the nearest whole number. They are along the lines

  • First, check the number you want to round.
  • As we are rounding the number to the nearest whole number we will mark the digit in the unit’s place.
  • Have a look at the digit in tenths place and if it is 0, 1, 2, 3, 4 we will round down the number in one’s place to the nearest whole number.
  • On the other hand, if it is 5, 6, 7, 8, or 9 we will round up the number in one’s place to the nearest whole number.
  • Remove all the digits next to the decimal point and the left out number is the desired answer.

Example:

Round Decimal 954.32 to the nearest whole number?

Solution:

Given Decimal is 954.32

Mark the digit in one’s place

Check the digit in tenths place so that you can estimate accordingly. The digit in the tenths place is 3 so we will round down the number in one’s place to the nearest whole number

Remove all the values next to the decimal point.

Therefore, 954.32 rounded to the nearest whole number is 954

Rounding Decimals to the Nearest Tenths

Go through the below provided steps to round the decimals to the nearest tenths. They are along the lines

  • Firstly, look at the number you want to round.
  • Since we are rounding decimals to the nearest tenths we will check the number in the tenths place.
  • Now, check the digit in the hundredths place i.e. the digit next to the tenths column.
  • If the digits in the hundredths place are 0, 1, 2, 3, or 4 then simply round down the number in tenths place to nearest tenths.
  • If the digits in the hundredths place are 5, 6, 7, 8, or 9 simply round up the decimal number in tenths place to nearest tenths.
  • At last, remove all the digits next to the tenths column and the resultant number is the answer.

Example

Round 442.66 to the nearest tenths?

Solution:

Given Decimal Number is 442.66

Look at the number we want to round. Check the number in tenths place as we are rounding decimals to the nearest tenths i.e. 6 as it is greater than 5 round up the decimal in the tenths place to nearest tenths.

Remove all the digits after the tenths column

By doing so we will get 442.7

Therefore, 442.66 rounded to nearest tenths is 442.7

Rounding Decimals to the Nearest Hundredths

Go through the simple steps provided here to learn about Rounding Decimals to the Nearest Hundredths. They are as such

  • The first and foremost step is to check the number we want to round.
  • Later, mark the digit in a hundredths place as we are rounding decimals to the nearest hundredths.
  • Now, look at the digit in thousandths place i.e. digit next to the hundredths place.
  • If the digits in thousandths place are 0, 1, 2, 3, 4 then round down the hundredths place to the nearest hundredths.
  • If the digits in the thousandths place are 5, 6, 7, 8, or 9 round up the hundredths place to the nearest hundredths.
  • Remove all the digits after the hundredths place and the resultant number is the answer.

Example:

Round Decimal 1234.156 to Nearest Hundredths?

Solution:

Given Decimal Number is 1234.156

Check the digit in hundredths place as we are rounding decimals to nearest hundredths. We have 5 in the hundredths place.

Now, check the digit in the thousandths place and if it is less than 5 round down or else round up to the nearest hundredths.

The digit in the thousandths place is 6 as it is greater than 5 we will round up the decimal in hundredths place to nearest hundredths. Later, remove all the digits in the decimal place after the hundredths place.

Therefore, 1234.156 rounded to nearest hundredths is 1234.16

FAQs on Rounding Decimals

1. What is rounding off a number?

Rounding off means a number is made simple and intact by approximating it closer to the next number.

2. How do you round up and down decimals?

The simple rule you need to follow while rounding decimals is if the digit is less than 5 round the previous digit down and if the digit is greater than or equal to 5 simply round up the previous digit up.

3. What is 1.5 rounded to Nearest Whole Number?

1.5 rounded to the Nearest Whole Number is 2.

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