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 52.65** 8**3 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 103.0** 6** 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 189.007** 2** 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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