# Round a Decimal

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.

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

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