CLASS-7
SUBTRACTION OF DECIMAL

SUBTRACTION OF DECIMAL -

Subtracting decimals is similar to subtracting whole numbers, but with a focus on aligning the decimal points to ensure accuracy. Here’s a step-by-step guide:

Steps to Subtract Decimals:-

  1. Write the Numbers Vertically:- Align the decimal points of the numbers directly above each other. If the numbers have a different number of digits after the decimal point, you can add zeros to the end of the shorter number to make the lengths equal.
  2. Subtract as with Whole Numbers:- Starting from the rightmost digit (the smallest place value), subtract each pair of digits.If the digit in the subtrahend (the number being subtracted) is larger than the digit in the minuend (the number from which you are subtracting), you will need to borrow from the next digit to the left.
  3. Place the Decimal Point:- Ensure that the decimal point in the answer (the difference) is directly below the decimal points in the numbers being subtracted.
  4. Write the Answer:- After completing the subtraction, place the decimal point in the result directly under the decimal points of the numbers above.


Example:-  Subtract 5.67 from 12.4.

Ans.)

Step 1:- Align the Numbers Vertically (Note: We added a zero to make the number of decimal places equal)

            12.40  

           - 5.67

     ----------------

Step 2:- Subtract Starting from the Right

             12.40


            - 5.67
       ---------------
              6.73

  • 0 - 7:- We can't subtract 7 from 0, so we borrow 1 from the digit to the left (which turns the 4 into 3), making it 10. (10 − 7) = 3.
  • 3 - 6:- Again, we can't subtract 6 from 3, so we borrow 1 from the digit to the left (turning the 2 into 1), making it 13. (13 − 6) = 7.
  • 1 - 5:- 1 − 5 requires borrowing, but since the leading digit is already less, we focus on 12, considering it before borrowing.

Step 3:- Place the Decimal Point

  • Place the decimal point directly under the decimal points in the numbers above.

Final Answer:- (12.4 − 5.67) = 6.73       (Ans.)


Summary:-

Subtracting decimals involves aligning the decimal points, borrowing when necessary, and ensuring the decimal point in the result is correctly placed. The process is just like subtracting whole numbers, with extra attention given to the placement of the decimal point.