Vedic Mathematics How To Mutlipy With 9, 11, 12, 13 Easiest Way I Have Ever

Some tips for multiplication with 9, 11, 12, 13
with 9: -
placed 0 in right side of the number, then subtract the actual number with
this. for example -
2345 * 9 = ?
step 1 - place 0 at right - 23450
step 2 - Subtract actual number - 2345
-----------
21105
with - 11: -
ex: - 4987 * 11 = ?
step 1 - place 0 at left of the digit. like 04987 in our case.
step 2- multiply the right most digits of both number i.e. (7* 1) if carry
comes then carry over it for the next term .
04987
11
--------
54857
step 3- now add the ten digit number with unit digit number (8+7=15) write 5
and carry over 1.
step 4 - now add hundred digit number with ten digit number (9+8=17 +1
(carry over from previous step)= 1
similarly proceed up to left most digit
so we get 54857
with 12 : -
it is similar to the method used for 11.
only difference is in this we have to multiply with 2 then add with the
previous digit .
for example :- 4987 * 12 = ?
04987 step 1 - placed 0 in left most.
12
----------------
59844 step2 - 7*2 = 14 , write 4 and carry over 1
step3 - 8*2+ 7=23 + 1 = 24 , write 4 and carry over 2.
step 4- 9*2 +8 = 26, + 2=28. write 8 , 2 carry over.
step5 - 4*2+9=17+2=19, write 9 and carry on 1
step6 - 0*2 + 4 =4+1=5
with 13 - it is similar to 12 but instead of multiplying with 2 here we have
to pultiply it with 3.
 


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