We will follow the rules to round a decimal number to the nearest whole number, tenths, hundredths and thousandths.
Follow the rules for rounding off decimals one by one.
Rules to round a decimal number to the nearest whole number.
Rules to round a decimal number to the nearest tenths.
Rules to round a decimal number to the nearest hundredths.
Workedout problems on round off decimal number:
To round a decimal number to the nearest whole number, tenths, hundredths, thousandths and so on...... follow the explanation stepbystep how to round up or round down the decimal to the nearest hundredths.
Round off the following decimals.
(a) 52.6583 correct up to 2 places of decimal.
Solution:
52.6583
Rounding off 52.6583 correct up to 2 places of decimal means rounding off to the nearest hundredths
In 52.6583 we observe the digit at the thousandths place value and round off 52.6583 correct up to 2 places of decimal.
The digit at the thousandths place is 8 and 8 > 5.
The digit at the hundredths place increases by 1 and the digit at the thousandths place becomes 0.
Therefore, 52.6583 is rounded off as 52.66
(b) 103.06 correct up to 1 place of decimal.
Solution:
103.06
Rounding off 103.06 correct up to 1 places of decimal means rounding off to the nearest tenths
In 103.06 we observe the digit at the hundredths place value and round off 103.06 correct up to 1 place of decimal.
The digit at the hundredths place is 6 and 6 > 5.
The digit at the tenths place increases by 1 and the digit at the hundredths place becomes 0.
Therefore, 103.06 is rounded off as 103.1
(c) 189.0072 correct up to 3 places of decimal.
Solution:
189.0072
Rounding off 189.0072 correct up to 3 places of decimal means rounding off to the nearest thousandths
In 189.0072 we observe the digit at the ten thousandths place value and round off 189.0072 correct up to 3 places of decimal.
The digit at the ten thousandths place is 2 and 2 < 5.
The digit at the thousandths place remains unchanged and the digit at the ten thousandths place becomes 0 (rounded down).
Therefore, 189.0072 is rounded off as 189.007
● 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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