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             \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________





              3.  Assertion (A): On a number line, 5 and (–5) are equidistant from 0.
                  Reason (R):  The absolute value of both 5 and (–5) is the same.

              C.  Match the following.

                                           Column A                                      Column B
               1.  Additive inverse of –7 is                                         (a)    2

              2.   5 units to the right of –3                                        (b)    27
              3.   The smallest integer greater than every negative integer is       (c)    –7
              4.   77 + (–15) + (–35) =                                              (d)    7

              5.   The number lies on the left side of –6 on a number line is        (e)    0

              D.  State whether the following statements are True (T) or False (F).
              1.  Since 6 > 4, therefore –6 > –4
              2.  The sum of two negative integers is a positive integer.
              3.  –16 > (–3) – (–13)

              4.  On the number line, an integer on the right of a given integer is always larger than that integer.
              5.  The difference between an integer and its additive inverse is always even.
              6.  The sum of the successor and predecessor of an integer is an odd integer.

              7.  When an integer is added to itself, the sum is always greater than the integer.
              E.  Solve the following questions.
              1.  Find the value of  49 – (–40) – (–3) + 69.

              2.  Write the opposite of each of the following:
                (a)  15 floors down.

                 (b)  20 m above the danger mark of river Ganga.
                 (c)  A gain of `450.
                (d)  Winning by a margin of 1500 votes.
              3.  The figure shows the position of a playful kitten. Her each jump involves moving 4 steps forward
                 and 3 steps backward. Starting from point A, calculate the number of jumps needed for the kitten
                 to reach point G.





                                               A    B    C   D     E    F   G    H
                                                                             CompetenCy Based Question

              4.  Kaartik was playing a game on his playstation. He scored 60 points in the 1st round, lost 90 points
                 in the 2nd round, scored 55 points in the 3rd round, lost 30 points in the 4th round, and scored 25
                 points in the 5th round. Find out how many points Kaartik scored at the end of the 5th round.
              5.  Solve the following:

                 (a)  Subtract 51 from the sum of 245 and –518.
                 (b)  Add –2043 to the sum of 3321 and –4312.


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