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.
Worked-out 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 step-by-step 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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