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1   7              3   3                     Try It Out!
            10.  (a)   ≤         (b)    =
                  10   10            25   25                          8         1
                                                                      2
                                                                 (i)        (ii)
                                                                      3
              11.                0  1  2     1                                1,024
                     –1  –1 2  –1 1       3                     Try It Out!
                          3   3     4  4  4
            Thinking Skills                                      (i)  1     (ii)  1   (iii)  1
                12                                                   − 3      b
                                                                     2
              1.                                                  (iv)       (v)     (vi)  a –6
                15                                                            a
                                                                     3
              2.  not necessarily, it depends on both the numerator as well   Quiz
               as the denominator
                                                                32 50
              3.  ` 1,856  1
                      4                                         Exercise 5.2
              4.  207 runs
                                                                  1.  2      2.  2     3.  –2
                                                                     7
                                                                                 –1
              5.  One should buy from Super market; Difference in price     4.  (a) (–3)   (b)  6    (c)  3    (d)  (–5) 0
                                                                          8
                                                                                 16
                                                                                          1
                = ` (828 – 696) = ` 132
                                                                  5.  (a) F,  a b  ≠ (ab)      (b)   F,  8 > 9
                                                                            m n
                                                                                    mn
            Exemplar Problems
                                                                    (c) T,  a b  = (ab)      (d)   T,  a  = 1 where a ≠ 0
                                                                                   n
                                                                                                  0
                                                                            n n
              1.  b      2.  c    3.  Simplest     4. True
                                      1
              5.  False   6.   8    7.  –       8. 2.25 m         6.  (a)  343    (b)  25   (c)  a b    (d)  640
                                                                                          3 4
                            5         2                                270
              9.  (a) (iii)    (b) (v)    (c) (i)    (d) (ii)    (e) (iv)          18
                                                                                 5
                                                                        6
                                                                        12              − 1  63    − 3   25
                               Chapter 5                          7.  (a)     (b)     (c)        (d)     
                                                                                 9
                                                                        7
                                                                                        3      5 
            Exercise 5.1                                                 − 3   1                   − 2   6
                                                                  8.  (a)       (b)  (–3)   (c)  5 –1  (d)    
                                                                                   0
              1.  (a) 32   (b)  243     (c)  2,401   (d)  14,641         31                        5 
              2.  (a) 7    (b)  2  × 3 4  (c)  x y  z 2                1                  − 1      27
                                            3 2
                   5
                              2
                                                                  9.  (a)   (b)  1,029   (c)         (d)
              3.  (a) 2  × 5   (b)  2  × 3  × 5    (c)  (–7)    (d)  2 × 5 6  9  625      16      8,000
                              3
                   2
                       5
                                              3
                                                        2
                                     3
                                 3
              4.  (a) 3  > 4   (b)  (–2)  < 1    (c)  3  > 5    (d)  2  > 6 2    10.  10    11.  (a) 3     (b) 1      (c) 66    (d) 4
                                                                      0
                                                        6
                                                3
                                            5
                   4
                                3
                       3
                                    4
              5.  1  = 1, 2  = 16, 3  = 81, 4  = 256, 5  = 625   6.  6  1        64       − 4      15
                4
                      4
                             4
                                            4
                                    4
                                                                  12.  (a)   (b)      (c)      (d)
              7.  (a) –500   (b)  3,888   (c)  30,375                  81       729       15        2
              8.  (a) 2  × 3   (b)  2 × 5   (c)  2  × 5  × 11     (d)  2 11  Exercise 5.3
                       2
                                        3
                                 4
                                           2
                   5
                                                2
                                                                                    4
                                                                                             3
                                                                                                              1
                                                                            5
                                                                                                      2
                   3 5       ( 5)−  6      ( 3)−  7    11 6       1.  (a) 3 × 10  + 5 × 10  + 6 × 10  + 7 × 10  + 8 × 10  +
              9.  (a)    (b)            (c)         (d)               0 × 10 0
                   5 5        9 6            5 7        22 6                6       5        4        3       2
                   3 3   3 3      2 9   −  5 4  −  5 4  ( 1)−  3      (b) 4 × 10  + 6 × 10  + 0 × 10  + 0 × 10  + 3 × 10  +
                                                                            1
                                                                                    0
            10.  (a)   =       (b)   6    (c)   4  =  4  4   (d)   3    4 × 10  + 9 × 10
                         3
                  10 3  2 × 5 3   3      6    2 × 3     (5)         (c) 3 × 10  + 5 × 10  + 7 × 10  + 9 × 10  + 1 × 10  +
                                                                                                              2
                                                                            6
                                                                                             4
                                                                                                      3
                                                                                    5
            Try It Out!                                               2 × 10  + 4 × 10 0
                                                                            1
                             5
                                                                             11
                                                                                                11
             (i)  7 14   (ii)      10                           2.  (a) 2.2 × 10   (b) 4.89213476 × 10   (c) 6.532 × 10 –8
                             
                             8                                  3.  31,622,400 seconds; 3.16224 × 10  seconds
                                                                                               7
            Try It Out!                                           4.  9,460,800,000,000,000 m  ;  9.4608 × 10  m
                                                                                                     15
                             3
             (i)  5 10   (ii)                                   5.  4,133.33 km  ;  4.13333 × 10  km
                             
                                                                                           3
                             
                             7
                                                                                                     12
                                                                              25
            Try It Out!                                           6.  (a) 8.68 × 10 kg     (b) 1.439 × 10  m
                              − 5   400                                        Review Exercises
             (i)  2 12   (ii)       
                              3                               Multiple Choice Questions
            Try It Out!                                           1.  c      2.  a       3.  d        4.  d
             (i)  10 7   (ii)  1                                  5.  c      6.  b       7.  c

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