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 6.0** 5** 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 17.2** 7**3 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 11.2** 1** 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 73.8__ 3__ 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
7.5** 6**4 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 11.0** 4 **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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