Page 378 - Start Up Mathematics_8 (Non CCE)
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Fill in the Blanks                                      (d) 8,649 and 93 is the number.
                                   q                                        (e) 15,625 and 125 is the number.
                                                    –4
                      1.  m = n   2.       3. 2.136 × 10    4. 4,390
                                   p                                     6.  961     7. 1,024
                                                                       Exercise 3.2
                    Answer in One Word or a Line
                                                                         1.  (b) 12,288, since 8 occurs at its units place
                         1             1                                   (c) 4,205, since on dividing by 3, the remainder is neither
                      1.    or x - n    2.   or x - ( +)m  n     3. m = 5
                                        +
                        x n           x mn                                    0 nor 1.
                                         3  27                             (e) 7,442, since 2 occurs at its units place
                                       3ˆ
                                      Ê
                         6
                      4.  2  = 64   5.  Á ˜  =  64                       2.  (a) 131   (c)  4,259
                                      Ë
                                       4 ¯
                                                                         3.  (a) 4    (b) 5    (c) 9    (d) 1    (e) 6
                                                                             2
                    Let’s Evaluate                                       4.  14  = 196   5.  (a) 16   (b)  49
                                                                         6.  102030405060504030201   7.  (a) 89   (b)  263
                           625        243                                8.  (a) (12, 35, 37)    (b) (28, 195, 197)
                      1.  (a)    (b)          (c)  16
                           256        32                                   (c) (32, 255, 257)  (d) (16, 63, 65)
                           27                                            9.  (b) 256   (c)  2,704   (e)  2,304
                      2.  (a)      (b)  1     (c)  1                     10.  (a) 999998000001    (b)  9999999800000001
                           2                                               (c) 12345654321        (d)  4444444488888889
                          19          35          22           - 8         (e) 44448889
                      3.  (a)    (b)          (c)          4.
                           64         216          3           7         11.  (a) Since 7 occurs at its units place.
                                                                           (b) Since the number ending with one zero.
                            –6
                                                    12
                      5.  (a) (2)    (b)  (2) –15    (c)  (2)    (d)  (2) 12      (c) Since the number ending with 3 zeros.
                                         –5        6ˆ –6                   (d) Since the number ending with 5 zeros.
                                     Ê
                                                  Ê
                                       1ˆ
                       6.  (a) (6) –4  (b) Á ˜  (c) Á ˜                    (e) Since 3 occurs at its units place.
                                                   7¯
                                       2¯
                                     Ë
                                                  Ë
                                                                       Exercise 3.3
                          513         1                                  1.  (a) 1,296   (b)  3,249   (c)  1,764   (d)  841
                      7.  (a)    (b)           8.  (a) 2   (b)  –4
                           8         16                                    (e) 5,776
                                                  –3
                                  –9
                      9.  (a) 1.56 × 10    (b) 9.801 × 10     (c) 2.1506 × 10 0    2.  (a) 9,409   (b)  1,61,604  (c)  11,025   (d)  9,604
                                                                           (e) 94,864
                    10.  (a) 0.000000803  (b) 142,600   (c) 0.00006      3.  (a) 729   (b)  1,936   (c)  3,136   (d)  1,024
                    Thinking Skills                                        (e) 4,096
                                                                         4.  (a) 8,281   (b)  9,604   (c)  11,236   (d)  38,025
                                      625         9                        (e) 2,55,025
                      1.  (a) 160,000  (b)    (c)
                                      256         4                      5.  (a) 39,601  (b)  10,609   (c)  40,804   (d)  1,56,025
                          5           7                                    (e) 9,96,004
                      2.  (a)    (b)          (c)  2       (d)  6
                          3          11                                Try It Out!
                        5                                              1
                      3.
                        6                                              Exercise 3.4
                    Values and Life Skills                               1.  (a) Units digit is 2 or 8 and has even square root.
                                                                           (b) Units digit is 5.
                           11
                    1.49 ¥ 10  m (approx.)                                 (c) Units digit is 2 or 8 and has even square root.
                    Exemplar Problems                                      (d) Units digit is 5.
                                                                           (e) Units digit is 4 or 6 and has even square root.
                                      1                        ( 2)-  7      (f)  Units digit is 0 and has even square root.
                      1.  1.0 ¥ 10 –8  2.      3.  True    4.
                                      3 - 5                     3 9      2.  (a) 24   (b)  38     (c)  49     (d)  58
                      5.  Planet B   6.  2 8                               (e) 69    (f)  225     (g)  368    (h)  450
                                                                           (i) 425    (j)  715
                                       Chapter 3                         3.  (a) 2; 28   (b)  6; 36   (c)  5; 235   (d)  2; 86
                    Exercise 3.1                                           (e) 6; 258
                      1.  (b) 753   (c) 1,285   (e) 325   (g) 164        4.  (a) 2; 45   (b)  3; 76   (c)  6; 94   (d)  10; 62
                      2.  (a) 6,241   (b) 625   (e) 1,024   (f) 12,100      (e) 2; 54
                                                                         5.  9 and 324   6.  16    7.  68 m
                      3.  (a) 2  (b)  3   (c) 11   (d) 5   (e) 2   (f) 7    8.  (a) 12   (b)  11   (c)  14    (d)  15
                      4.  (a) 3  (b)  5   (c) 11   (d) 2    (e) 7   (f) 2    9.  (a) 3,600   (b)  900   (c)  900
                      5.  (b) 7,396 and 86 is the number.                10.  (a) 69   (b)  58    (c)  95     (d)  78

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