SHREE BALAJI CLASSES

 Condition :   This trick is used when we multiply quickly two  numbers with 5 as the unit digit.       Example.  75 × 95 , 95 × 85 ,115 × 145 , 125 × 105 Illustration 1 :     75 × 95 Solution:     Numbers                 Split   as      75                        7      /     5   ×  95                         9      /       5 [Split the numbers keeping the last digit (5) aside]                         1st part  /  2nd part  Product + Sum  ÷  2  /  25        [ Product  and  Sum  of no. other then unit digits...

Condition :   This trick is used when we multiply quickly two  numbers and a number is made by digit 9. Example.  75 × 99 , 95 × 999 ,115 × 99 , 1259 × 999 Illustration 1 :     175 × 999 Solution:           1st part  /  2nd part  step 1→     175-1  / step 2→     174    /    999-174 step 3→     174     /    825 Answer is 174825 Illustration 2 :     258 × 99999 Solution:           1st part  /  2nd part  step 1→     258-1  / step 2→     257     /    99999-257 step 3→     257     /    99742 Answer is  25799742 Illustration 3 :     564 × 99 Solution:           1st part  /  2nd part step ...

Condition :   This trick is used when we multiply quickly two similar numbers with unit digit adding up to 10.( All digits are similar other then unit digit) Example.  57 × 53 , 91 × 99 ,114 × 116 , 102 × 108 Illustration 1 :     107 × 103 Solution:           1st part  /  2nd part (2 digits) step 1→ 10 × (10+1)  /    7 × 3 step 2→ 10 × 11         /    21 step 3→ 110              /    21 Answer is 11021 Illustration 2 :     119 × 111 Solution:           1st part  /  2nd part (2 digits) step 1→ 11 × (11+1)  /    9 × 1 step 2→ 11 × 12        /    09 (because 2nd part of 2 digits) step 3→ 132              /    09 Answer is 13209 Illustration 3 :     152 ×...