Properties of Subtraction

Property 1: When a number is subtracted from itself then the difference is zero.

4317 – 4317 = 0

Property 2: When '0' is subtracted from a number then the difference is the number itself.

Or, when the minuend is 0 then the difference is the subtrahend.

Example: Subtract 0 from 9498

Here, Difference = Subtrahend

9498 – 0 = 9498

Property 3: We can check the answer by adding the difference to the minuend. If we get the subtrahend then the answer is correct, otherwise you need to check the calculation.

Or, Minuend + Difference = Subtrahend

Example: Subtract 4422 from 8689 and check your answer.

Step 1: 8689 – 4422

Step 2: Now add minuend and difference i.e. 4422 and 4267.

The sum of minuend and difference is equal to the subtrahend. Therefore, the answer is correct.

Exercise 3.3

Story Sums

Exercise 3.4

Example:

There are 5674 students in a school. 3200 of them are boys. Find the number of girls.

Total number of students = 5 6 7 4
Number of boys = 3 2 0 0
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Number of girls = 2 4 7 4
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  1. An aircraft can carry 7500 kg of weight. A package 9000 kg was brought to load in the aircraft. Can it be loaded? What is the extra weight of the package?
  2. A container has 1287 rotten apples. There were 1890 apples in it. How many apples are good to eat?
  3. Rehan earns ₹ 5575. He spends ₹ 2890. Find his savings.
  4. Rajan bought a table fan and a heater for ₹ 5585. The cost of table–fan is ₹ 2630. Find the cost of heater.
  5. The sum of two numbers is 6529. If one number is 2806. Find the other number.
  6. By how much 8813 is greater than 4497?