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Some NCERT Textbook Questions


              1.  Which of the following pairs represent the same rational number?
                     –7      3                 –16       20                –2      2               –3      –12
                 (a)     and               (b)      and                (c)     and             (d)     and
                     21      9                  20      –25                –3      3                5       20
                      8      –24               1      –1                   –5       5
                 (e)     and               (f)    and                  (g)     and
                     –5      15                3       9                   –9      –9
              2.  Fill in the boxes with the correct symbol out of >, < and =.

                     –5       2                –4        –5                –7        14            –8        –7
                 (a)                       (b)                         (c)                     (d)
                      7       3                 5         7                 8       –16             5         4
                      1       –1                 5        –5                       –7
                 (e)                       (f)                         (g)  0
                     –3        4               –11        11                        6
              3.  Which is greater in each of the following:
                     2 5              –5 –4              –3 2               –1 1                2    4
                 (a)  ,      (b)        ,       (c)        ,       (d)        ,      (e)  –3 , –3
                     3 2              6   3              4 –3               4 4                 7    5
              4.  Find the product:
                     9    –7                          3                             –6    9
                 (a)   ×                          (b)    × (–9)                 (c)     ×
                     2     4                          10                             5    11

                     3    –2                          3     2                        3    –5
                 (d)   ×                          (e)    ×                      (f)     ×
                     7     5                          11    5                       –5    3
              5.  Find the value of:
                            2                  –3                          –4                      –1    3
                 (a)  (–4) ÷               (b)     ÷ 2                 (c)     ÷ (–3)          (d)     ÷
                            3                   5                           5                       8    4
                     –2    1                   –7     –2                    3    –4
                 (e)     ÷                 (f)     ÷                   (g)     ÷
                     13    7                   12     13                   13    65


                                             Exemplar Problems

              1.  In the standard form of a rational number, the common factor of numerator and denominator
                 is always:

                 (a)  0                  (b)  1                  (c)  –2                 (d)  2

              2.  In the standard form of a rational number, the denominator is always a:
                 (a)  0                  (b)  negative integer  (c)  positive integer    (d)  1

              3.  Two rational numbers are said to be equivalent or equal, if they have the same _________
                 form.
              4.  All decimal numbers are also rational numbers. (True/False)

                                       –3
              5.  The rational number     lies to the right of zero on the number line. (True/False)
                                       4
              6.  What should be multiplied with   –5  to obtain the nearest integer?
                                                   8



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