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               \ 03-Oct-2025  Bharat Arora   Proof-9                                    Reader’s Sign _______________________ Date __________





              ProPertieS oF Subtraction


              Subtracting Zero (0)
                                                                                 Think Tank                     Critical Thinking
              Mona has 5 apples. She ate nothing.                             Think about subtracting 0 from
                                                                              any number. Which of these is
              How many apples are still with her?                             always true?

              Clearly, 5.                                                     (a) The answer becomes zero.
                                                                              (b) The answer becomes 1.
              So,         5 – 0 =  5.                                         (c) The number remains the same.


              Similarly, we have 6 – 0 = 6, 4 – 0 = 4 and so on.              (d) The number becomes double.

              Subtracting one (1)

                                                                                                Math Insight
              Rakhi has 4 apples. She ate one apple.
                                                                                           l When we subtract
              How many apples are left with her?                                              zero from a number,
                                                                                              the number remains
              Clearly, 3.                                                                     the same.
                                                                                           l When we subtract 1
              So,         4 – 1 =  3.                                                         from a number, the
                                                                                              answer is the number
              Similarly, we have 8 – 1 = 7, 5 – 1 = 4 and so on.                              that comes just
                                                                                              before it.
              Subtracting a number from itself                                             l When we subtract a
                                                                                              number from itself,
              Alka had 3 apples. She ate all three. How                                       the answer is zero (0).

              many apples are left with her?

              Clearly, 0.

              So,         3 – 3 =  0.                                    Think Tank                            Logical Thinking

              Similarly, 8 – 8 = 0, 9 – 9 = 0 and so on.                1. How old are you this year?  .........

                                                                        2. How old were you last year? .........
                       Practice time 4g



              Fill in the blanks.


              1.  6 – 0 =                        2. 9 – 9 =                         3. 7 – 1 =


              4.  8 –         = 8                5. 5 –         = 4                 6. 2 –         = 0


              7.         – 0 = 12                8.        – 1 = 15                 9.        – 18 = 0





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