Rounding Decimals to the Nearest Whole Number

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 9.63 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 78.537 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 7.21 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 13.48 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:

147.28

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

Decimal Numbers

Decimal Fractions

Like and Unlike Decimals

Comparing Decimals

Decimal Places

Conversion of Unlike Decimals to Like Decimals

Decimal and Fractional Expansion

Terminating Decimal

Non-Terminating Decimal

Converting Decimals to Fractions

Converting Fractions to Decimals

H.C.F. and L.C.M. of Decimals

Repeating or Recurring Decimal

Pure Recurring Decimal

Mixed Recurring Decimal

BODMAS Rule

BODMAS/PEMDAS Rules - Involving Decimals

PEMDAS Rules - Involving Integers

PEMDAS Rules - Involving Decimals

PEMDAS Rule

BODMAS Rules - Involving Integers

Conversion of Pure Recurring Decimal into Vulgar Fraction

Conversion of Mixed Recurring Decimals into Vulgar Fractions

Simplification of Decimal

Rounding Decimals

Rounding Decimals to the Nearest Whole Number

Rounding Decimals to the Nearest Tenths

Rounding Decimals to the Nearest Hundredths

Round a Decimal

Adding Decimals

Subtracting Decimals

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


7th Grade Math Problems

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