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Addition and Subtraction of Decimals

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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:
Addition and Subtraction of Decimals 5

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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