Rules for rounding decimals to the nearest hundredths:

● To round a decimal analyse the digit in the thousandths place value.

● If the thousandths place value is 5 or more then 5, then the digit at the hundredths place increases by 1 and the digits in the thousandths place and thereafter becomes zero (round up).

**For example;**

(i) 31.005 →

In 31.00** 5** analyse the digit at the thousandths place value. Here 5 is equal to 5. Therefore we have to round the decimal number up to the nearest hundredths 31.01

(ii) 101.277 →

In 101.27** 7** analyse the digit at the thousandths place value. Here 7 is more than 5. Therefore we have to round the decimal number up to the nearest hundredths 101.28

● If the thousandths place value is
less than 5, then the digit at the hundredths place remains unchanged and the
digits at the thousandths place and there after becomes zero (round down).

**For example;**

(i) 57.011 →

In 57.01** 1** analyse the digit at the thousandths place. Here 1 is less than 5.

Therefore we have to round the decimal number down to the nearest hundredths 57.01

(ii) 91.383 →

In 91.38** 3** analyse the digit at the thousandths place. Here 3 is less than 5.

Therefore we have to round the decimal number down to the nearest hundredths 91.38

** **

Worked-out examples on rounding decimals to the nearest hundredths:

To round a decimal number to the nearest hundredths follow the explanation step-by-step how to round up or round down the decimal to the nearest hundredths.

**Round off the following to the nearest hundredths:**

(a) 0.945

**Solution:**

Rounding off 0.94** 5 **to the nearest hundredths, we
observe the digit at the thousandths place value.

The digit at the thousandths place is 5 and 5 = 5.

The digit at the hundredths place increases by 1 and the digit at the thousandths place becomes 0.

Therefore, 0.945 rounded off to the nearest hundredths as 0.95

(b) 29.581

**Solution:**

Rounding off
29.58** 1 **to the nearest
hundredths, we observe the digit at the thousandths place value.

The digit at the thousandths place is 1 and 1 < 5.

The digit at the hundredths place remains unchanged and the digit at the thousandths place becomes zero (rounded down).

Therefore, 29.581 is rounded off to the nearest hundredths as 29.58

● **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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