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               \ 29-Jan-2025                      Surender Prajapati   Proof-6             Reader’s Sign _______________________ Date __________





                Think and Answer                                     Think and Answer
                     −243 ,  −729 ,  −2187                                 10   km, towards west from point P.
                      405 1215 3645                                        7
                Life Skills                                          Quick Check
                     −112                                               1.  Subtraction; –
                      224                                               2.  Add; –, +, −2  7  metres    −2  7  
                                                                                                         
                Practice Time 3A                                                  10              3.     10  0;
                  1.  (a)  Rational number     (b)  Rational Number  Practice Time 3C
                     (c)  Rational Number     (d)  Not rational number  1.  (a)   1   (b)   (−28 )  (c)   3   (d)   −17
                     (e)  Rational number                                    13           48         22          15
                  2.  (a)  Numerator: -4, Denominator: 23                    −9          6           −102        −7
                     (b)  Numerator: 16, Denominator: –29               2.  (a)   11  (b)   8     (c)   55    (d)   36
                     (c)  Numerator: 0, Denominator: –67
                     (d)  Numerator: 7, Denominator: 12                 3.  (a)   151  (b)   103  (c)   31
                  3.  Positive rational number:                              1120        180         76

                     (c)   19    (d)   5     (g)   −52   (h)   −37      4.  −22       5.   7      6.   −83     7.   −1
                        24          14          −55         −94            8             18          60          6
                     Negative rational number:                          8.  61        9.   99  ,   199
                         7           56         −12         1              36            101  1
                     (a)         (b)         (e)         (f)
                        − 25        − 113       19          28       Think and Answer
                  4.  (a)
                          –1               0            8    1                 x     −2   −1    −4
                                                       11                            5     7    13
                     (b)                                                       3     −3   −3    −3
                          –1       −5      0                 1                 4    10    28    13
                                   11
                                                                               −5    1     5    10
                     (c)                                                       6     3    42    39
                         –1         −3     0                 1
                                    7                                          −3    3     3     6
                                                                               2     5    14    13
                     (d)
                         –1                0       2         1       Practice Time 3D
                                                   5                                                 −12         −133
                                                                        1.  (a)  –14   (b)  –22   (c)         (d)
                     (e)                                                                             −13         −90
                         –1             1  0                 1               −5          −301        −1          11
                                        − 5                               (e)   4     (f)   30    (g)   −7    (h)   − 12

                                     ,
                                        ,
                                                    ,
                  5.  (a)   10 15 20  (b)   14 28 21  (c)  4  ,  8 10   2.  (a)   −5  (b)   −77   (c)   1     (d)   4
                         ,
                            ,
                        34 51 68    16 32 24    22 44 55                     144          1          − 114       − 27
                  6.  −60        7.   21     8.   8      9.   −8          (e)   −10   (f)   5     (g)   −80   (h)   49
                      72            − 70        − 9         −11               7          − 7         −99         36
                        −35         2           7           9                −20         −283        1           −784
                  10.  (a)       (b)         (c)         (d)            3.  (a)       (b)         (c)         (d)
                        68          3           − 9         11                39          14         6            17
                        11          4           18          4              −2            18          1984        −68
                  11.  (a)       (b)         (c)         (d)            4.            5.          6.      km   7.
                        13          7           23          9              3             175          15          27
                Think and answer                                        8.  53
                      9 10 11 12 13 14                                     15
                       ,
                                 ,
                               ,
                            ,
                          ,
                     24 24 24 24 24 24                               Chapter Assessment
                Practice Time 3B                                     A.  1.  (b)      2.  (c)     3.  (b)     4.  (c)
                                                                        5.  (c)       6.  (c)     7.  (d)     8.  (a)
                        −3          −5          7           −7
                  1.  (a)        (b)         (c)         (d)         B.  1.  (b)      2.  (a)     3.  (c)
                        11          7           12          15       C.   (a) - (v),  (b) - (iv),  (c) - (ii),  (d) - (iii),
                  2.  (a)  <     (b)  >      (c)  >      (d)  =           (e) - (i)
                        −5  −7  4  −1  1        2  − 5  − 3  1  − 3
                  3.  (a)   <  <  <  <       (b)   <  <  <  <        D.  1.  0        2.  –2      3.  0       4.  –1
                        6  12  −9  4  −8        − 3  8  5  − 2  10      5.  Left
                        5  1  − 2  1  − 9       7  2  − 5  1  − 3             7           7          1 2 3       123
                  4.  (a)   >  >  >  >       (b)   >  >  >  >        E.  1.  (a)      (b)         2.   ,,     3.
                        7  − 35  5  − 2  14     12  − 9  16  − 3  8          − 40        − 37        7 7 7        8
                        −5  −6  −7  −8          −6  −7  −8  −9                           −2          −2
                  5.  (a)   ,  ,  ,          (b)   ,  ,  ,              4.  22        5.          6.
                        7  7  7  7              5  5  5  5                 10            51           3
                                                                                2
                                                                                  7
                     (c)   −31 ,  −32 ,  −33 ,  −34                     7.  − 12  < −< < 3 2  <14  51     8.   5
                        45  45  45  45                                      15  5  3  3   500        − 3
                                                                  357                                            Answers
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