Page 16 - SM inner class 6.cdr
P. 16

E     xercise 2.2


             Solve by using BODMAS rule.
                1. 2 6 3 4 2 5 20 5 3 50´ + - /  - +  /  ´ +
                2. (3 3 5+ -  ) (15 5 ) 10 99
                                          -
                                  -
                             ´
                                     ´
                3. 50 5 7 2 11 3 10 2 2 6 5/ - ´ +  + ´  / - + ´
                4. 4 5 7 8 5 12 8 2 6 3 20 2+ - + ´ -  ´ /  + - +  /
                5. 9 9 30 3 5 6 7 2 9 9´ -  /  + - + - + ´
                                                 +
                                                         )
                6. (10 4 6 7 8 2 3 3´ - + -  / + ´ + 4 5 6 3 +  1
                                                    -
                                                       /
                                               3
                                            5
                7. (2 2 2 2 4´ + ´ +  ) / 8 + (5  ´ - ´ - ´ ) / 3
                                                   3
                                                      2
                                                         2
                                      -
                                 +
                                         +
                8. (5 5 25´ -  / ) 12 4 5 +   (9 3 2  )
                                                    ´
                                                -
                              5
                                                                                         }
                                                                                              ¸
                                    -
                                       -
                                                                                  -
                                                                                      +
                                                                               ´
                9. 40 -[ 16 -{ 9 -( 15 8 2)}]                10. 34 -[ 26 -{ 13 6 9 1 +    14 7]
               11. 58 -[ 28 -{ 16 ¸( 27 3 2 17)}]            12. [(36 10´  ) (5 3 5  )] [23 -  ( 2 ){[16 - (56 33 )}]
                                                                           ¸
                                                                               ´
                                         ´
                                            -
                                     +
                                                                                       ¸
                                                                                               -
                                                                                                           -
                                                                                  -
               13. 23 4 2+ [  -{ 4 + ( 7 2 6 5 - 2 +  3]
                                                }
                                            )
                                   ´
                                      -
                                          -
                                      -
                                 )
               14. 16 + [ 7 + {( 3 7 -  5 3}]
                              +
             Num ber Pat terns                                         12345679 ´   9 ´  3 =  333333333
             Find ing and un der stand ing pat terns gives us          12345679 ´   9 ´  4 =  444444444
             great power. With patterns we can learn to                12345679 ´   9 ´  5 =  555555555
             predict the future, discover new things and
                                                                       12345679 ´   9 ´  6 =  666666666
             better understand the world around us. And
                                                                       12345679 ´   9 ´  7 =  777777777
             play ing with pat terns is fun.
                                                                       12345679 ´   9 ´  8 =  888888888
               (i) 1 8 1 9´  + =
                                                                   (iii) 12345679 ´  9 ´  9 = 999999999
                  12 8 +  2 =  98
                     ´
                                                                                        ´
                                                                                      1 1 =1
                  123 ´  8 +  3 =  987
                                                                                      ´
                                                                                   11 11 =121
                  1234 ´  8 +  4 =  9876
                                                                                     ´
                                                                                111 111 =12321
                  12345 ´  8 +  5 =  98765                                    1111 1111 =1234321
                                                                                    ´
                              +
                          ´
                  123456 8 6 =     987654                                  11111 11111 =123454321
                                                                                  ´
                                                                               ´
                  1234567 ´  8 +  7 =  9876543                        1111111 1111111 =1234567654321
                                                                              ´
                  12345678 ´   8 +  8 =  98765432                  11111111 11111111 =123456787654321
                                                                             ´
                              ´
                  123456789 8 +     9 =  987654321              111111111 111111111 =12345678987654321
                                 ´
              (ii) 12345679 ´  9 1 111111111
                                    =
                  12345679 ´   9 ´  2 =  222222222
              E     xercise 2.3
                1. Complete the pattern
                                                                        2
                                                                              =
                    (i) 1 1=  1                                     (ii) 1 +  2 3
                                                                             2
                                                                        2
                        1 3 2  2                                       1 +  2 +  3 8
                                                                                  =
                             =
                         +
                                                                                  2
                                                                             2
                                                                        2
                             +
                         +
                        1 3 5 3    2                                   1 +  2 +  3 + ... ……
                                                                                       =
                                =
                                                                                      2
                                                                             2
                                                                        2
                                                                                  2
                                +
                        1 3 5 7 4     2                                1 +  2 +  3 +  4 + ...  = ……
                             +
                                    =
                         +
                                +
                             +
                         +
                        1 3 5 7 + ...  = ……
             16
                    Mathematics In Focus - 6
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