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Rounding off decimal

• The decimal number is the representation of the whole number with the fractional part.
• Rounding decimal is the way of simplifying decimal to its nearest value.
• The decimals can be rounded to the nearest tenths, hundredths, thousandths, and also to the nearest whole number.

Rounding decimals to the nearest tenths

• Observe the digit next to the tenth place, i.e., the digits in the hundredth place.
• If the digit is less than 5 then keep the tenth digit as it is and remove all the digits after the tenth place.
• If the digit is 5 or more than 5 then add 1 to the tenth digit and remove all the digits after the tenth place.

Example 1:

Round the decimal 1.234 to the nearest tenths.

Solution : Example 2:

Round the decimal 1.534 to the nearest tenths.

Solution : Rounding decimals to the nearest hundredths

• Observe the digit next to the hundredth place, i.e., the digit in the thousandth place.
• If the digit is less than 5 then keep the hundredth digit as it is and remove all the digits after the hundredth place.
• If the digit is 5 or more than 5 then add 1 to the hundredth digit and remove all the digits after the hundredth place.

Example 1:

Round the decimal 1.264 to the nearest hundredths.

Solution : Example 2:

Round the decimal 5.139 to the nearest hundredths.

Solution : Rounding decimals to the nearest whole number

• Observe the digit in the tenth place.
• If the digit is less than 5 then keep the whole number part as it is and remove all the digits after the decimal point.
• If the digit is 5 or more than 5 then add 1 to the whole number part and remove all the digits after the decimal point.

Example 1:

Round the decimal 24.134 to the nearest whole number.

Solution : Example 2:

Round the decimal 5.789 to the nearest whole number.

Solution : Summary: New words:

• When 1 is added in rounding the decimals then we call it “rounding up”.
• When the digits remain the same then we call it “rounding down”. Common Mistake:

Students usually make mistakes in rounding the whole number and decimals.

Example :

Round 3045.26 to the nearest tenth.

Solution :  • -