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A decimal number in maths is any number written in decimal notation i.e. with a decimal point. Decimal number have a integer part that is separated from the fractional part with the decimal separator.

In simpler words, decimal numbers are numbers that are in between two whole numbers. Just like whole numbers, decimal numbers can be compared, added, subtracted, multiplied and divided.

More about decimals

The decimal number system has 10 as its base. The decimal point goes between the ones and tenths position.
Examples of decimal numbers: 23.45, 3.14, 2.005, 0.043, 34.0

Decimal numbers that have the same number of digits after the decimal point are called Like decimal numbers.

Comparing decimal numbers

In order to compare two decimal numbers, use the following steps:
1. First make the numbers like decimal numbers.
2. Now compare the digits before the decimal point, if they are same move on to the digits after the decimal point
3. Compare the first digits after the decimal point, if they are same, move on to the second digit after the decimal point and so on till you are able to determine which is the greater number.

Practice questions:

Question: Arrange the following decimal numbers in descending order
1) 0.05 , 0.5 , 0.005 , 5.05 , 5.5 , 0.505
2) 0.0753 , 0.0357 , 0.357 , 0.0375 , 0.00357
3) 77.7 , 7.77 , 0.777 , 7.07 , 0.707 , 7.077

( Answer:
1) 5.5 , 5.05 , 0.505 , 0.5 , 0.05 , 0.005
2) 0.357 , 0.0753 , 0.0375 , 0.0357 , 0.00357
3) 77.7 , 7.77 , 7.077 , 7.07 , 0.777 , 0.707
)

Question: Arrange the following decimal numbers in ascending order
1) 0.20 , 0.002 , 0.02 , 2.2 , 2.02 , 2.22
2) 0.195 , 0.915 , 0.0195 , 0.159 , 0.095 , 0.951
3) 3.6 , 3.36 , 3.663 , 3.63 , 3.063

( Answer:
1) 0.002 , 0.02 , 0.20 , 2.02 , 2.2 , 2.22
2) 0.0195 , 0.095 , 0.159 , 0.195 , 0.915 , 0.951
3) 3.063 , 3.36 , 3.6 , 3.63 , 3.663
)

Addition of decimal numbers

In order to compare two decimal numbers, use the following steps:
1. First make the numbers like decimal numbers.
2. Then add the digits using column addition, starting from right to left.

For example: Let us add two decimal number 3.1 and 4.12
Step 1: Convert them into like decimals = 3.10 and 4.12
Step 2: Add
3.10
4.12
7.22

Practice questions:

Question: Add the numbers 605.86 + 35.77
( Answer: 641.63 )

Question: Add the numbers 8.88 + 88.888
( Answer: 97.768 )

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