Rounding Decimals to the Nearest Whole Number guide is available here. Check the steps to find out the process of rounding the decimals worksheet. Make use of number lines and visual models to round decimal numbers. Know the definition, rules, and methods to round the decimal values. Follow the below sections to gather the information regarding rounding decimal values to the nearest whole numbers. Also, check the solved problems and solution procedure.
Rounding Decimals to the Nearest Whole Number – Definition
The rounding of decimal values is a process to estimate a particular number in context. The rounding of decimals refers to the gaining of accuracy to a certain degree. We can easily round the decimals to the nearest whole numbers i.e., tenths or hundreds. With the help of rounding decimals to the nearest whole numbers, you can easily estimate the solution quickly and easily. It is also used to get the average score of the pupil in the class. There are various procedures to round off the whole numbers.
Basic Rules of Rounding to Whole Numbers
While rounding to the nearest whole numbers, you have to follow a few basic rules.
- Identify the value in the place you are rounding to. The smaller value you consider at the place value, the most accurate will be the final result.
- Look at the next smallest number in place value is the number to the right of the place value which you are rounding to. For suppose, if you are looking to round to the nearest ten, then you would look at the one’s place.
- If the number in the succeeding smallest place value is less than five (0, 1, 2, 3, 4 or 5), you have to leave the digit you want to round as a whole number to as in. Any digits after the tens place value (include the smallest place value you looked at) drop-off it or become zeros which are located after the decimal point. It is called rounding down.
- If the number in the succeeding smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you have to increase the digit value you are rounding to +1 (one). As seen in the previous step, the remaining digits before the decimal point become zero, and any values after the decimal point are dropped. It is called rounding up.
Also, Read: Round off to Nearest 100
How to Round to the Nearest Whole Number?
There are a few steps to round numbers to the nearest whole number.
Step 1: First, look at the number that you want to round.
Step 2: As you have to round the number to the nearest whole number, we mark the number in the one’s place.
Step 3: Now look at the digit which is at right to the decimal point, i.e., tenth’s place
Step 4: (i) If the number in the tenth column has 0,1,2,3,4, we have to round down the digit at the ones place to the nearest whole number.
(ii) If the number in the tenths columns has 5,6,7,8 or 9, we have to round up the digit at one’s place to the nearest whole number.
Step 5: You have to remove all the numbers after the decimal point. The desired answer will be the left-out number.
Rounding to Nearest Tenths
We have to follow the given steps in rounding numbers to the nearest tenths.
Step 1: First, look at the number that you want to round.
Step 2: As you have to round the number to the nearest tenths, we mark the number in the tenths place.
Step 3: Now look at the digit which is at right to the tenth’s point, i.e., hundredth’s place
Step 4: (i) If the number in the hundredth’s column has 0,1,2,3,4, we have to round down the digit at the tenths place to the nearest tenths.
(ii) If the number in the hundredth’s column has 5,6,7,8 or 9, we have to round up the digit at the tenth’s place to the nearest tenths.
Step 5: You have to remove all the numbers after the tenths column. The desired answer will be the left out number.
Rounding to Nearest Hundredths
We have to follow the given steps in rounding numbers to the nearest hundredths
Step 1: First, look at the number that you want to round.
Step 2: As you have to round the number to the nearest hundredths, we mark the number in the hundredth’s place.
Step 3: Now look at the digit which is at right to the hundredth’s point, i.e., thousandth’s place
Step 4: (i) If the number in the thousandth’s column has 0,1,2,3,4, we have to round down the digit at the hundredth’s place to the nearest hundredth’s.
(ii) If the number in the thousandth’s column has 5,6,7,8 or 9, we have to round up the digit at the hundredth’s place to the nearest hundredth’s.
Step 5: You have to remove all the numbers after the hundredth’s column. The desired answer will be the left out number.
How to Round Decimals Using a Calculator?
Follow the below procedure to round decimals to the whole numbers.
Step 1: Enter the decimal or the number in the given input field.
Step 2: Find the button “round” and click on it to get the final result.
Step 3: You will notice the value that is displayed in the output field.
Examples on Rounding Numbers to Nearest Whole Number
Problem 1:
Consider the number 46.8. Round the digit to the nearest whole number?
Solution:
As the given number = 46.8
The number in the tenths place = 8 which is greater than 5
As the value is greater than 5, then the whole part of the number increases with 1 and the number to the right of the decimal value means the tenth’s place becomes zero.
Hence, the final value of the rounded-up = 47
Problem 2:
Consider another number 45.379. Round the digit to the nearest whole number?
Solution:
As the given number is 45.379
The ones digit in the number = 5 and tenths digit is 3
Since the value in the tenths digit is 3, then the one’s digit will remain unchanged, i.e., 45.379
Rewrite the digit by dropping the decimal point and all the digits after it.
Therefore, 45 is the final answer.
Problem 3:
Round the following digits to the nearest tenths: 0.437
Solution:
As the given number is 0.437
The hundredth’s digit is 3 and therefore the tenth digit will remain unchanged
As the hundredth’s digit is less than 5, we have to drop off the remaining digits.
The final answer is 0.4