Page 101 - (DK) How to be a GENIUS?
P. 101

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        All in a row                                    222222222222
        A l i
        This is not just a great trick, it’s also a
                                    t a o
                              t c
                          e
                    s
                 t
        T s
          ood way of practicing your multiplication
        good way of practicing your multiplication      =      .                           M a th  g en i u s  Ka rl  G a u s s
                                             t
                                          i
                                 u m t
                           i
                  o p c
                                                                                                        rl
                                                                                           Math genius Karl Gauss
                                                                                                 en
                                                                                                      Ka
            d w
                                                                                              th
        g
        skills. Once again, the number 9 is
        skills Once again, the number 9 is                           %      ÷             ( (1777–1855) once added the
                        n h n m e 9
               O c a
                                                                                             –
                                                                                                           ed
                                                                                                               e
                                                                                             7
                                                                                                           d
                                                                                                           ed
                                                                                                   o
                                                                                                  )
                                                                                                        a
                                                                                                     c
                                                                                                    n
                                                                                                      e
                                                                                               8
                                                                                                          d
                                                                                               1
                                                                                                 5
                                                                                                         d
                                                                                                5
                                                                                           7
                                                                                            7
                                                                                          1
                                                                                                             th
                                                                                                             th
            l
        s
         helping with the magic.                       7      8     9      ×           n u m b er rs  fr ro m  1  to  1 0 0  i n  s eco n ds s. .
         helping with the magic. c
                           a
                     t
                                                                                            rs
                                                                                                    to
                                                                                                                ds
                                                                                                o
                                                                                       numbers from 1 to 100 in seconds.
                                                                                                             ec
                                                                                                    to
         h p g i
                                                                                               fr
                                                                                               fr
                                                                                                              co
                                                                                            ers
                                                                                            er
                                                                                                              c
                                                                                                   o
                                                                                                      a
                                                                                      H
                                                                                                            fir
                                                                                                            fir
                                                                                                                 n
                                                                                                            fir
                                                                                                    u
                                                                                               t
                                                                                                             rs
                                                                                                i
                                                                                          w
                                                                                                              s
                                                                                              a
                                                                                                             rs
                                                                                                               t
                                                                                            th
                                                                                       e
                                                                                                  y
                                                                                                                a
                                                                                            th
                                                                                         a
                                                                                         s
                                                                                                 f
                                                                                                                  d
                                                                                                           e
                                                                                                        d
                                                                                                       d
                                                                                                         th
                                                                                                         th
         Step 1                                                                       He saw that if you add the first and
         S e
                                                                                                         y
                                                                                                   +
                                                                                                                1
                                                                                        t
                                                                                                                 0
                                                                                                     1
                                                                                                                  1
                                                                                                                   .
                                                                                                              et
                                                                                                 (
                                                                                                        )
                                                                                            m
                                                                                           u
                                                                                                        ,
                                                                                               rs
                                                                                                             g
                                                                                                       0
                                                                                                  1
                                                                                          n
                                                                                               rs
                                                                                              er
                                                                                                          o
                                                                                                     0
                                                                                      l
                                                                                       as
                                                                                       as
                                                                                                              et
                                                                                             b
                                                                                              ers
                                                                                              er
                                                                                      last numbers (1 + 100), you get 101.
                                                                                                           u
         Hand your friend a calculator, a pen, and a   4    5             -
                                        d
                              o
                           u
                        c
                     d
               u r
            d
         H
                                                                                            th
                                                                                              e
                                                                                                                -
                                                                                                                 as
                                                                                                                 as
                                                                                                ec
                                                                                                 co
                                                                                                eco
                                                                                                               to
                                                                                                            n
                                                                                                         ec
                                                                                      A
                                                                                                         eco
                                                                                                 c
                                                                                                         s
                                                                                               s
                                                                                        d
                                                                                       d
                                                                                                      n
                                                                                                              -
                                                                                                                   t
                                                                                                          c
                                                                                            th
                                                                                                          co
                                                                                                                 l
                                                                                                     a
                                                                                                               to
                                                                                                       d
                                                                                         ng
                                                                                         ng
                                                                                                  n
                                                                                                             d
                                                                                         i
                                                                                                               to
                                                                                                   d
         piece of paper. Ask him or her to write down  n           6                  Adding the second and second-to-last
         piece of paper. Ask him or her to write down
                                        d
                               e o r
                            o
                        h
                   e A
            e
                p
         p
                                                                                              (2
                                                                                                           es
                                                                                                           es
                                                                                                          ves
                                                                                                          ve
                                                                                                +
                                                                                                             y
                                                                                                      ls
                                                                                           er
                                                                                      numbers (2 + 99) also gives you 101,
                                                                                              (2
                                                                                           ers
                                                                                            rs
         these eight digits: 12345679. 9
         these eight digits: 12345 5                  1     2     3                   n a u n m b s er rs o n .  So 9 a 9 l ) l  a ls u o  g i ee ed  to o u  1 0 1 ,
                         2
                      s
                  d
               g
             e
          h
                                                                                                               do
                                                                                                               do
                                                                                           o
                                                                                                             to
                                                                                                             to
                                                                                                           d
                                                                                                So
                                                                                                     y
                                                                                                         eed
                                                                                                      o
                                                                                                     y
                                                                                                                 i
                                                                                                        n
                                                                                       and so on. So all you need to do isis
                                                                                         d
         Step 2 2                                                       +                  101 x 50, which is 5,050. .
                                                                                           1
                                                                                                             0
         Step
                                                                                            1
                                                                                           0
                                                                                           101 x 50, which is 5,050.
                                                                                                 ,
                                                                                                         5
                                                                                                     ch
                                                                                                          ,
                                                                                                        is
                                                                                                        is
                                                                                               5
                                                                                                      h
                                                                                                     i
                                                                                                0
                                                                                                  wh
                                                                                                           0
                                                                                              x
                                                                                                  wh
                                                                                                            5
         S e
          Ask him or her to choose one of the digits.
                                         i
          Ask him or her to choose one of the digits.  AC  C     0
                                     e
                                  f
                            e n
                      o h
                   h
             h
          A
          Step 3
          S e
          Whichever one your friend chooses, you must
                                        u
                                           u
                                      ,
                                   s
                             n c
                    n y
                 e
          W c
          quickly multiply it by 9 in your head. So, for example,
          quickly multiply it by 9 in your head. So, for example, e
                                               m
                                         ,
                                      .
                                   e
                                u
                             n
                         y
                    i
             k m
          q
          if he or she picks 1, 1 x 9 = 9; if he or she picks 2,
          if he or she picks 1, 1 x 9 = 9; if he or she picks 2, 2
                                            c
                                         e
                                      r
                                   h
                               9
                          1 9
                       s
                    p
                s
          2 x 9 = 18; if he or she picks 3, 3 x 9 = 27, and so on. .
           f
                                               o
                                         7
                                            n
                                  3
                          h
                             i
                       o
                 8

          2
           Step                                   pl
           Step 4 4
           S e
           Now ask your friend to use the calculator to multiply  y
                                          o o
           Now ask your friend to use the calculator to mu
                                      u
                                   c
                                t

                             u
                       i
                 k  u
           N
           the eight-digit figure by the number you have just
                                             v
                                               u
                                         u
                                      r
                                   m
                              t
                       g e
                    g
                 t
           h e
           worked out. If your friend picked 1 in Step 3, the  e
             rked out If your friend picked 1 in Step 3, the
                                          e 3
                                       n
                                    d
                                 c
                           r n
                       o
                 o
           w k
           answer will be 111,111,111; if he or she picked 2, 2
           answer will be 111,111,111; if he or she picked 2,
                                             k
                                         e
                                    e
                              1
                          1
                     b
                 w
           a
              w
           the answer will be 222,222,222; if he or she picked
                                                k

                                       e
                                 2
                           2 2
                        b
                    w
                 w
            h a
           3, the answer will be 333,333,333, and so on. n
                                       n s
                                 3 3
                              3
                           e
                        i
                    e
               e n
           3
     0    1     2     3     4    5     6     7    8     9    10 11 12         13 14 15         16 17      18 19 20
          Super adder
          S  p   r  a  d  r
          Perform this trick well and you will
          P   f  m  h  t  c  w     d  o  w
          c   v i  c  y  r  f  i  d  th  t  u  r  th
          convince your friends that you are the
                             d
                                h
                                            h
                                                                    t p
                                                                  Step 3
                                             y
                                   act
                      es
                                In
                                         e
                        t
                       s
                   as
                                  f
                    s
                                n
                                       the
                     t
                                   a
                  f
          world
                                          onl
                          d
          w
                s
                             e
          world’s fastest adder. In fact, the only                  e   o
                s
                         adder
                                                                           f
                                                                              n
                                      o
                                   s
                                                                                 c p
                             a
                       d
          skill you need to master is how to
                                e
          s
          skill l  y ou  need  t o  mas t er  is  how  t o        When your friend accepts the challenge don’t
                    e
                                                                                       h c
                                                                          m   r  o           le  e  o
                                                                  When your friend accepts the challenge, don’t
                                                                                    h
                       1
                                                                    lt
                    y
          multiply by 11.
          m   l  l y  by  11.                                     add the numbers together. Instead, simply
          multipl
                                                                       y
                                                                                         te
                                                                          e
                                                                             v
                                                                                             , m
                                                                  add the numbers together. Instead, simply
                                                                   e  u         h u   e
                                                                          e  m ot         y  — h w
                                                                 multiply the seventh number by 11—this will
                                                                                   o
                                                                                      ll
                                                                   r
          Step 1                                                 give you the sum total of all ten numbers much  h
          S
             e
                                                                                         n
                                                                      u
                                                                          l
                                                                                            m e
                                                                            ha y
                                                                   h              r  en c         m
                                                                      ca u
                    r
          H   d  o u r  friend  a  pencil  a  piec c e  of f  paper  a  with a calculator o  fi  r  o
                       d
                                         p
                          p
          Hand
          Hand your friend a pencil, a piece of paper, andand
                                                                 with a calculator. .
                                                                 more quickly than your friend can figure it out
                                                                 more quickly than your friend can figure it out
                    and
              c
                                               w
            c
                    ,
                                 her
                                      do
          a calculator, and ask him or her to do the following: :
          a a
                               or
                        ask
                           him
                                            oll
                          k
                                           f
                                        the
                                              owing:
                             m
             al
                                         h
                                     o
                                    t
                  or
                                      d
              culat
                 a
                                                                      ta
                                                                         e
          ǩ      G  Q  R  X  H  E  Z  Q                         For instance, if the ten numbers your friend  d
          ǩ :ULWH GRZQ WZR QXPEHUV EHWZHHQ   DQG
                                                                            t
                                                                               t
                                                                  ot
                                                                                  n m
                 e
                                                                      o n
          one beneath the other.                                wrote down were 7, 12, 19, 31, 50, 81, 131,
          o
              b
                                                                                        rs o

                          e
                                                                                              fr
                                                                            r
                                                                               ,
                                                                  ,
                                                                                     3
                                                                                        5
                                                                     3
                   Z
          ǩ ǩ
            $GG
                  WZ
          ǩ $GG WKH WZR QXPEHUV WRJHWKHU DQG ZULWH WKDW         212, 343, 555, all you have to do is multiply the  e
                    R
              G
               WKH
                       X
                 H
                      QXPEHU
                                                                        5
                             W
                                            W
                                   U
                             W
                                                                                           8
                                H
                                        ZULW
                              RJHWKHU
                                      G
                                    DQG
                          H
                                         U
                                            WKDW
                                           H
                            V
                                                                                             1
                                                                           al o
                                                                wrote down were 7, 12, 19, 31, 50, 81, 131
                                                                                 a
                 w

          third new number beneath the other two.
                             a
          thir d new number benea  t  o  r  o                     e h   m er 3      t  o   m t  y
                          e
                       e
                                                                12, 343, 555, all you have to do is multiply the
                                                                 m               by 1
                                                                                       g
                                                                    ta
          ǩ   G  H  F  G        Q     V  J                     sum total of all the numbers. Don’t forg rg
                                                                                          1
          ǩ $GG WKH VHFRQG DQG WKLUG QXPEHUV WRJHWKHU
                                                                        f
                                                               seventh number, 131, by 11 to get 1,441, the
                                                                                             1 he
                                                                                m
                                                                                    r
                                                                    n
                                                                                      D
              w
                                     l
                                      o
                                         h
                    f
                                b
          and write a fourth new number below them.            you can use a pen and paper for this trick.
                                b
                             n
                          e
                                                                                          t
                       t
          a
                 e
                                   b
                                         h
                                                                       e  pe a
                                                               sum total of all the numbers. Don’t forget  t
                                                                                 p
                                               W
          ǩ 0DNH D ȌIWK QHZ QXPEHU E\ DGGLQJ WRJHWKHU WKH                          e o    i  ri
                                               WKH
                                        W
          ǩ ǩ
                                         RJHWKHU
                                E\
                      QH
                                  DGGLQJ
                                E
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                         QXPEHU
                       H
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                                                               you can use a pen and paper for this trick
                                         e
                                               e
                                            w
                             r
                         m
                   u
                                  w
                 d

          third and fourth numbers and write it below them.
                                n
          ǩ .HHS JRLQJ LQ WKH VDPH IDVKLRQ XQWLO WKHUH LV
          ǩ   H  J  J  W  V     V  R  Q  W  H
          a column of ten numbers.
          a   l l  n  f  t t  m b  r
          S  e
          Step 2
          A   y  r  e  t  h                 b  s
          Ask your friend to show you the list of numbers.
                              an
                             c
                           ou
                                 add
              him
              h
                   h
                   her
                       that
                          y
                          y
                 or
                                         m
                                       number

          T T
                                             s
          Tell him or her that you can add the numbers
                                             r
                                    the

           ell
                r
                    c
           ogether quick
          t together quicker using a pen and paper than
              t
                                   n
                                      a
                             a
                                n
                                         r
                      er using a pen and paper than
                          i
                       r
                                   r
          he or she can using a calculator.
          h
                             a
                 e
                       s
                                l
              r
                                                                                                                  99
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