# Rounding off Decimals

## Rounding Off Numbers for Class 5 Math

Rounding off numbers contains different rules of numbers. Here students will learn the procedure to round off decimal numbers.

In this learning concept, the students will also learn to

• Classify the rounding off decimals numbers.
• Identify to round off the number to the nearest 10.
• Evaluate the round-off of the number to the nearest 100.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.

Download the round-off numbers worksheet for class 5 and check the solutions to the round-off numbers provided in PDF format.

#### Rounding Off Decimals Numbers:

• 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 Off the Numbers to the Nearest 10

• 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 Off the Numbers to the Nearest 100

• 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 Off the Numbers 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 :