Addition and Subtraction of Decimals

For addition/subtraction of decimals, we have to follow these steps:

Step 1: Change the given decimals into like decimals.
Step 2: Write the numbers in columns, so that decimal points should come in one column and tenths comes under tenths, hundredths comes under hundredths, and so on.
Step 3: Now, add or subtract the decimals, as we add or subtract the whole numbers.
Step 4: Put the decimal in the sum or difference directly under the decimal points of all the decimals.

Example 1: Add 3.85 and 2.5.
Solution: Converting into like decimals
Addition and Subtraction of Decimals 1
∴ 3.85 + 2.5 = 6.35

Example 2: Subtract 41.715 from 63.2.
Solution: Converting into like decimals
Addition and Subtraction of Decimals 2
∴ 63.2-41.715 = 21.485

Example 3: Add 41.8, 39.24, 5.01, and 62.6.
Solution: Converting into like decimals
Addition and Subtraction of Decimals 3
∴ 41.8 + 39.24 + 5.01 + 62.6 = 148.65

Example 4: Surajgot Rs 15.50 from his mother and Rs 30.05 from his father. How much money did he get?
Solution:
Addition and Subtraction of Decimals 4
Example 5: The sum of two numbers is 100. If one of them is 78.67, find the other.
Solution:

Note:

Fractions with denominators 10,100,1000, etc. are known as decimal fractions or decimals.
Decimal number has whole number part and decimal part separated by a decimal point.
Zeros to the extreme right side of the decimals does not have any value.
Two decimals having the same number of decimal places are like decimals and decimals having different decimal places are unlike decimals.
To add or subtract decimals, it is easier to convert them as like decimals and then add or subtract as we do for whole numbers.

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Addition and Subtraction of Decimals

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