Sunday, 27 November 2011

MATHS TRICK 1 , MATHS TRICK 2

MATHS TRICK 1 

Multiplication Table : 11 to 19

It is difficult to study multiplication table up to 9 for some students. An important study reveals that more than 50 per cent of the student body ,  is away from mathematics.

Here is your opportunity to acquire   multiplication table from 11 to 19.

Study carefully and be a master of multiplication tables in seconds and Master of  Maths later.

Example I .  11 x 12

Step 1 :  11  + 2  = 13
      OR  12  + 1  = 13

( The first number is added to the unit digit of second number  (11+2)  OR  Second number is added to the unit digit of first number  (12+1) )

Both give the same result

Step 2 :  The result is multiplied by 10
                          13 x 10   = 130

Step 3 :  Product of the unit digits of the given numbers.
                              1  x 2  =  2    (1 of 11 and 2 of 12)

Step  4 : Add the results of  Step 2 and Step 3

                           130+2 =   132                                        

                           11 x 12 = 132

Example 2
                16 x 17

             Step 1 :  16 + 7      =  23  (OR 17+6 =23)
             Step 2 :  23 x 10    =  230
             Step 3 :  6 x 7        =   42  (product of unit digits)
             Step 4 :  230+ 42  =  272   

                           16 x 17 = 272 
                                            
 Example 3.
                18 x 19
                            1 8 + 9  =    2 7 0
                                                     --
                              8  x  9  =      7  2
                                             --------
                                               3 4 2
                                              ====
                          18 x 19  = 342
 Example 4.
                1 3 x 1 9
                                 1 3 + 9  = 2 2 0
                                    9 x 3  =    2 7
                                                ---------
                                                 2 4 7
                                                =====
Brilliant, you solved the puzzle! 

No need of using pen and paper. You can multiply any number between 11 and  19 within 5 seconds.

MATHS TRICK 2

If one of the number is decimal

Example1 :  17.5 x 11

                 17.5 + 1   = 18.5
                 18.5 x 10  = 185
                  7.5 x 1    =     7.5
                 185+ 7.5 =  192.5

Example 2.  16 x 12.5
                    16 + 2.5  = 18.5   ----185  +
                      6 x 2.5  =                   15
                                                     -----
                                                      200
                                                      ===

Exercise 
1.    12 x 19
2.    13 x 13.5
3.    15 x 16.5
4.    19 x 14
 5.   17 x 14.5

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