Easy and quick method for Multiplying Numbers nearing the base numbers 10 , 100 , 1000

Choose two numbers nearing 100 


Let's say  98 and 96


 Step 1:    Subtract both numbers from 100 and write difference next to them.

   9  8     |     -2  =>(100-98)
* 9  6     |     -4=>(100-96)
------------

Step 2:     Now either subtract 4 from 98 or 2 from 96 it gives 94 only and then multiply 94 with 100 so it gives 9400.

   9  8   \ /   -2
* 9  6   / \   -4
-----------
(98-4)*100 / (96-2)*100= 9400


Step 3: Now add partial answer  9400 and answer obtained by multiplying the differences with signs.

                 That is   9400 + (+8), where (-2)*(-4)=+8.   (2*4=8 and - , -  => +).
         
   9   8      -2
                  ||----(-2*-4)
* 9   6      -4
-----------  
9400 + ((-2)*(-4)) = 9400+(+8)=  9408

                         Thus Final Answer is  9408.

Now similarly take any other digit say one is greater than  100 and other less than hundred (both nearing 100).



 let's take 97 and 106 


 Step 1:
                 
 1 0 6   |   +6 (100+6=106)
*  9 7   |    -3 (100-3=97)
---------

Step 2:            

  1 0  6   |  +6
*   9  7   |  -3
-----------
  10300  (106-3*100/97+6*100)



    Step 3:

  1  0  6   |  +6
 *  9  7    |  -3
---------------
10300+((+6)*(-3))=10300+(-18)
                             = 10300-18
                             = 10282


                 Thus Final Answer is  10282


Thus try to do it orally for increasing your calculation speed.

Practice sums and with the answer


1.    93 and 98=9100+(-2*-7)=9100+14=9114
2.   102 and 95=9700+(+2*-5)=9700-10=9690
3.   101 and 108=10900+(+1*+8)=10900+(+8)=10908

keep on practicing.