Rules for rounding decimals to the nearest tenths:
● To round a decimal analyse the digit at the hundredths place.
● If the hundredths place value is 5 or more than 5, then the digit at the tenths place increases by 1 and the digits at the hundredths place and thereafter becomes zero.
For example;
(i) 6.05 →
In 6.05 analyse the digit at the hundredths place. Here 5 is equal to 5. Therefore we have to round the decimal number up to the nearest tenths 6.1
(ii) 17.273 →
In 17.273 analyse the digit at the hundredths place. Here 7 is more than 5. Therefore we have to round the decimal number up to the nearest tenths 17.3.
● If the hundredths place value is
less than 5, then the digit at the tenths place remains unchanged and the
digits at the hundredths place and thereafter become zero.
For example;
(i) 11.21 →
In 11.21 analyse the digit at the hundredths place. Here 1 is less than 5. Therefore we have to round the decimal number down to the nearest tenths 11.2
(ii) 73.83 →
In 73.83 analyse the digit at the hundredths place. Here 3 is less than 5. Therefore we have to round the decimal number down to the nearest tenths 73.8
Worked-out examples on rounding decimals to the nearest tenths:
To round a decimal number to the nearest tenths follow the explanation step-by-step how to round up or round down the decimal to the nearest tenths.
Round off the following to the nearest tenths:
(a) 7.564
Solution:
Rounding off 7.564 to the nearest tenths, we observe the digit at the hundredths place value.
The digit at the hundredths place is 6 and 6 > 5.
The digit at the tenths place increases by 1 and the digits at the hundredths and thousandths place become 0 (rounded up).
Therefore, 7.564 rounded off to the nearest tenths as 7.6
(b) 11.04
Solution:
Rounding off 11.04 to the nearest tenths, we observe the digit at the hundredths place value.
The digit at the hundredths place is 4 and 4 < 5.
The digit at the tenths place remains unchanged and the digit at the hundredths place becomes zero (rounded down).
Therefore, 11.04 rounded off to the nearest tenths as 11.0 or 11
● 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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