L LR e ‘

=
=
b

B e L L
AT HRTB SR R AN AT PSR ER A SO RL: 1 R S IR

 

8o THE FASCINATION OF NUMBERS
Thus,
35=10X3%
Therefore 352=102 X (3%)?2
=100 % [(3 x4) +1)]

=100 X 12} =1225

This result can be seen at a glance. Multiply g by 4 and call
the answer hundreds; for the last two digits, square the
number 5.

Thus,

35°=100(3 X4) +5°
=1200 +25=1225

Any two numbers, each consisting of a whole number and
a fraction, can be multiplied in the same way provided (a)
the whole number is the same in each case, and (/) the two
fractions together add up to 1.

For example

3:x38=(3x4) +(ix3) =127%

This procedure can be extended to numbers not having
fractions, where the ‘tens’ digits are the same, and the ‘ones’
digits together add up to ro0.

Thus,

31 X39=100(3 X4) +(1 X9)
=1209