Vedic Math Short Trick – How to multiply the numbers near to 1000
Last time we saw that how to multiply the numbers which are near to 100 and their the base considered is 100=102. Similarly, in this case also we are taking same trick but the base taken here is different that is 1000 because here we are considering the numbers near to 1000.
Thus, the trick we are using is
N1*N2 = N1 + d2, (d1*d2). And Base = 1000 = 103
As, here the power of 10 is 3 and that’s why the product (d1*d2) should be always 3 digit number otherwise we have to adjust it similarly how we adjusted list time.
Where N1 and N2 are the numbers near to 1000
And d1 = N1 – Base = N1 – 1000
& d2 = N2 – Base = N2 – 1000
Let us see examples and from that understand the concept.
First we will take the examples of numbers below 1000:
1.) 991*994
Here, d1 = 991 – 1000= -9
And d2 = 994 – 1000 = -6
Thus, 991*994 = 991+(-6), (-9)*(-6)
= 985, 54
But, here the product of d1*d2 is 54 and which is two digit number. So to make it three digit number we will write 54 as 054.
Then, 991*994 = 985, 054
Thus, 991*994 = 985054
Or 9.91*9.94= 98.5054
2.) 997*983
Here d1= 997 – 1000= -3
And d2 = 983 – 1000 = -17
Thus, 997*983= 997+(-17), (-3)*(-17)
= 980, 51
But, here the product d1*d2 is 51 and which is two digit number, so to make it three digit number we will write 51 as 051.
Then, 997*983= 980, 051
Thus, 997*983 = 980051
Or 9.97*98.3= 980.051
3.) 999*999
Here d1= -1 and d2= -1
Thus, 999*999= 999+(-1), (-1)*(-1)
=998, 1
But, here the product d1*d2 is 1 only and which is 1 digit number only, so to make it three digit number we will write 1 as 001.
Then, 999*999= 998, 001
Thus, 999*999= 998001
Or 9.99*9.99 = 99.8001
Now we will see how to multiply the numbers which are above 1000:
1.) 1025*1005
Here, d1 = 1025-1000= 25
And d2 = 1005 -1000 = 5
Thus, 1025*1005= 1025+5, 25*5
=1030, 125
Here the product of d1*d2 is 125 which is 3 digit number already.
Thus, 1025*1005= 1030125
Or 10.25*10.05= 103.0125
2.) 24*10.11
Here we consider the numbers as 1024*1011
Then d1= 24 and d2= 11
Thus, 1024*1011= 1024+11, 24*11
= 1035, 264
Thus, 1024*1011= 1035264
Hence, 10.24*10.11 = 103.5264