1, Copy and replace the frames to show the meaning of each of these numerals  ?
        a) X X IV = 10 + 10 ( __ __ __ ) = ___
        b) X X IX = __ + __ +  ( 10  __ __ ) = ___
        c) X X X IV = 30 +  ( __ __ 1 ) = ___

                a)  Since 1 comes before V , IV = 5 - 1 = 4
                      X X IV = 10 + 10 + (5 - 1)
                                       = 10 + 10 + 4 = 24

              b) X represents 10 .
                  IX = 10 - 1 = 9
                 X X IX = 10 + 10 + (10 - 1)
                                  = 10 + 10 + 9
                                              = 29

                 c) X X X IV = 10 + 10 + 10 + (5 - 1)
                                   = 30 + 4
                                      = 34 .

2, Write the numbers 10 to 20 in Roman numerals.
              10 → X
               11 → 10 + 1 = XI
               12 → 10 + 2 = XII
               12 → 10 + 3 = XIII
               14 → 10 + 4 = 10 + (5 - 1) = XIV
               15 → 10 + 5 = XV
               16 → 10 + 6 = 10 + 5 + 1 = XVI
               17 → 10 + 7 = 10 + 5 + 1 + 1 = XVII
               18 → 10 + 8 = 10 + 5 + 1 + 1 + 1  = XVIII
               19 → 10 + 9 = 10 + (10 - 1) = XIX
               20 → 10 + 10 = XX

3, Write a Hindu numeral for each Roman numeral .
    a) VI     , b) XII    , c) IX    ,d) XXIX
      
         Ans :- a)  VI → 5 + 1 = 6
                     b) XII → 10 + 1 + 1 = 12
                     c) IX → 10 - 1 = 9
                     d) XXIX → 10 + 10 + (10 - 1)
                                                    = 20 + 9
                                                    = 29

4, Write the Roman numerals for each ?
    (a) 15    (b) 29      (c) 34      (d) 39

       Ans :-   a)    15 = 10 + 5
                                 = XV
                    b )    20 + 9
                                    = 10 + 10 +(10 - 1)
                                    = XXIX
                   c)       30 + 4
                                    = 10 + 10 + 10 + (5 - 1)
                                   = XXXIV
                   d)       30 + 9
                                      = 10 + 10 + 10 + ( 10 - 1 )
                                     = XXXIX

5, Which of the following are correct ?
     a) XX → 20   ,     b) XIX → 21     ,   c) IV → 6

           Ans :-  a)       XX = 10 + 10
                                             = 20
                                    XX → 20 is correct.
                        b)     XIX = 10 + (10 - 1)
                                       = 10+ 9 = 19
                                       XIX → 21 is not correct .

                         c)     IV  = (5 - 1) = 4
                                        IV → 6 is not correct .

6, Which of the following are correct ?
    (a) XXIV → 24        (b) IX → 9       (c) XVI → 16

           Ans :- a)    XXIV = 10 + 10 +(5 - 1)
                                       = 20 + 4 = 24
                                XXIV → 24 is correct
                       b)    IX  = 10 - 1 = 9
                                       IX → 9 is correct .

                       c)    XVI = 10 + ( 5 - 1 )
                                    = 10 + 6 = 16
                                   XVI → 16 is correct .

7, Which of the following are meaningless ?
     (a) VX     (b) XVI      (c)  V V

         Ans :-   a)   ' V ' never comes before a larger number
                                   VX is meaningless.
                      b )   ' XVI = 10 + 5 + 1
                                     = 16
                                It is meaningful .

                       c)    The letter ' V ' is never repeated.
                                         ' V V '  is meaningless .