Rules for rounding decimals to the nearest whole number:

● To round a decimal to the nearest whole number analyse the digit at the first decimal place i.e., tenths place.

● If the tenths place value is 5 or greater than 5, then the digit at the ones place increases by 1 and the digits at the tenths place and thereafter becomes 0.

**For example;**

(i) 9.63 →

In 9.__ 6__3 analyse the digit at the tenths place. Here 6 is more than 5. Therefore we have to round the number up to the nearest whole number 10.

(ii) 78.537 →

In 78.__ 5__37 analyse the digit at the tenths place. Here 5 is equal to 5. Therefore we have to round the number up to the nearest whole number 79.

● If the tenths place value is less
than 5, then the digit at the ones place remains the same but the digits at the
tenths place and thereafter becomes 0.

**For example;**

(i) 7.21 →

In 7.__ 2__1 analyse the digit at the tenths place. Here 2 is less than 5. Therefore we have to round the number down to the nearest whole number 7.

(ii) 13.48 →

In 13.__ 4__8 analyse the digit at the tenths place. Here 4 is less than 5. Therefore we have to round the number down to the nearest whole number 13.

Worked-out examples on rounding decimals to the nearest whole number:

To round a decimal to the nearest whole number follow the explanation step-by-step how to round up or round down the decimal to the nearest whole number.

**Round off the following to the nearest whole number.**

**(a)** 51.7

**Solution:**

51.__7__

The digit at the tenths place is 7 and 7 > 5.

The whole
number part of **51**.7
increases by 1 and the digit to the right of decimal point means the tenths
place becomes zero (rounded up).

**Therefore, 51.7 rounded off to the nearest whole
number as 52.**

**(b)** 147.28

**Solution:**

147.__2__8

The digit at the tenths place is 2 and 2 < 5.

The digit at the ones place remains unchanged and the digits to the right of the decimal point means the tenths place and hundredths place becomes 0 (rounded down).

**Therefore, 147.28 rounded off to the nearest whole
number 147.**

● **Related Concept **

● Decimals

● Conversion of Unlike Decimals to Like Decimals

● Decimal and Fractional Expansion

● Converting Decimals to Fractions

● Converting Fractions to Decimals

● H.C.F. and L.C.M. of Decimals

● Repeating or Recurring Decimal

● BODMAS/PEMDAS Rules - Involving Decimals

● PEMDAS Rules - Involving Integers

● PEMDAS Rules - Involving Decimals

● BODMAS Rules - Involving Integers

● Conversion of Pure Recurring Decimal into Vulgar Fraction

● Conversion of Mixed Recurring Decimals into Vulgar Fractions

● Rounding Decimals to the Nearest Whole Number

● Rounding Decimals to the Nearest Tenths

● Rounding Decimals to the Nearest Hundredths

● Simplify Decimals Involving Addition and Subtraction Decimals

● Multiplying Decimal by a Decimal Number

● Multiplying Decimal by a Whole Number

● Dividing Decimal by a Whole Number

● Dividing Decimal by a Decimal Number

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