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Exercise 3.5                                         4.  No, for example,
                                                                                2
                                                                            2
                      1.  (a) 2   (b)  3      (c)  3       (d)  3           1  + 2  = 1 + 4 = 5 which is not a square number
                                                                            2
                                                                                2
                      2.  (a) 201   (b)  21   (c)  1,111   (d)  82          2  – 1  = 4 – 1 = 3 which is again not a square number
                        (e) 693   (f)  826    (g)  2,534   (h)  18,897  Let’s Evaluate
                      3.  (a) 42   (b)  85    (c)  124     (d)  56       1.  (a), (c)   2.  (a) 69   (b)  123   (c)  305
                      4.  (a) 89   (b)  93    (c)  9       (d)  85       3.  (a) 4,624   (b)  1,156   (c)  8,464
                      5.  9,801   6.  961      7.  10,000                4.  (a) 9,409   (b)  3,481   (c)  784
                      8.  1,00,04,569          9.  1,104 m               5.  (a) 68   (b)  60     (c)  89
                    Exercise 3.6                                         6.  (a) 56   (b)  139    (c)  26.38
                                                                         7.  (a) 6.537   (b)  0.099   (c)  1.518
                          85          47          124          999
                      1.  (a)    (b)          (c)          (d)         Thinking Skills
                          33         18           201          74
                           21          1          16           136       1.  576    2. 650 m    3. 13 m    4. 30 m    5. 84 m
                        (e) 1     (f)  5      (g)          (h)                    2     7     8
                           25          8          29           235
                                                                         6.  (a)    0  1     1     77,284
                          86           4                                      2    4      4    6
                        (i)       (j) 1
                          78          13                                         1     4    5
                                                                              7     4    9     6
                      2.  (a) 800   (b)  1,890   (c)  225   (d)  10,290          1     5    6
                          8                                                   8     6    6     4
                      3.  12  m    4.  36 cm   5.  30 m
                          9                                                       3     1     5
                    Exercise 3.7                                           (b)    0    0     1     99,225
                      1.  (a) 7.9   (b)  1.35   (c)  0.21   (d)  13.6         3     9     3    5
                        (e) 0.0271  (f)  0.052   (g)  1.49   (h)  8.63        1  0     0    0
                        (i) 15.34   (j)  7.35                                       3    1     5
                      2.  5.49 m   3.  872; 7.848    4.  (56, 87); 4.613      5  1  5  0  5  2  5
                      5.  (25, 21); 0.525
                    Exercise 3.8                                       Values and Life Skills
                      1.  (a)  3.317  (b)  8.718   (c)  10.536   (d)  20.906  350
                        (e)  6.165   (f)  2.793   (g)  18.735   (h)  0.061  Exemplar Problems
                        (i)  6.420   (j)  1.025   (k)  0.004   (l)  1.414
                      2.  13.52784  3. (a) 8.49706  (b)  14.45914  (c)  30.61862    1.  a   2.  c   3.  False   4.  5.3
                         (d) 70.71068   (e) 140.87228    4. 20.623 m     5.  8; 15    6.  3.3 m    7.  8,836
                                     Review Exercises                                      Chapter 4
                    Multiple Choice Questions                          Exercise 4.1
                      1.  d    2.  a    3.  c     4.  b                  1.  (a) 5,832   (b)  46,656   (c)  85,184    (d) 4,21,875
                      5.  b    6.  b
                                                                           (e) 9,70,299  (f)  11,24,864  (g)  1,23,26,391
                    Solve Mentally                                       4.  3,025    5.  (a), (b), (d), (c)
                    True or False                                        6.  (a), (c), (e), (f)   7. (a), (c), (d), (f)
                      1.  True   2.  False   3.  True   4.  False   5.  True    10.  (a) 2   (b)  7   (c)  9   (d)  6
                    Fill in the Blanks                                     (e) 5     (f)  4
                      1.  not   2.  0, 1   3.  odd     4.  Pythagorean triplet    11.  2,197 cm 3
                                            2
                      5.  13,225  6.  99,999  7.  7  = 49   8.  199      12.  (a) 3   (b)  2      (c)  5      (d)  7
                    Answer in One Word or a Line                           (e) 3     (f)  4
                      1.  Perfect squares are numbers whose exponent is 2, i.e.,     14.  (a) 8 times  (b) 343 times
                        the number is raised to the power 2.             15.  (a) 2,50,047 (b)  24,389   (c)  5,92,704   (d) 9,41,192
                      2.  If three natural numbers  a,  b,  c satisfy the condition        (e) 97,336  (f)  32,768
                                  2
                         2
                              2
                        a  +  b  =  c , then the numbers are said to form a     16.  (a) 2,197   (b)  21,952   (c)  17,576   (d)  1,728
                        Pythagorean triplet. Yes                         17.  (a) 7   (b)  8      (c)  5      (d)  4
                      3.  Negative numbers                                 (e) 9       (f)  2
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