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Multiplying two digit numbers (less than 100 and greater or equal to 80) easier

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Engr_Joseph
Engr_Joseph
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PostEngr_Joseph Sat 10 Dec 2016, 9:25 am

Making multiplication easier:
*Multiplying two digit numbers (less than 100 and greater or equal to 80) with each other:


Example:- 95 x 97 
Steps: 

1) Find the difference of each number from 100: 
95 x 97
5 3


2) Cross Subtract the difference 
(95-3)=(97-5)=92 => This is the first part of the answer



3) Multiply the differences
5 x 3 = 15 => This is the last part of the answer which will be added behind


THUS, 95 x 97 = 9215


*Multiplying three digit numbers 
(greater than 100 and less than or equal to 120) with each other: 
Example:- 107 x 104


Steps: 1) Find the difference of each number from 100: 
107 x 104 
7 4 


2) Cross add the difference 
(107+4)=(104+7)=111 => This is the first part of the answer


3) Multiply the differences: 
7x4=28 => This is the last part of the answer


THUS, 
107x104= 11128


Last edited by Engineer_Joseph on Sat 10 Dec 2016, 10:03 am; edited 1 time in total
Engr_Joseph
Engr_Joseph
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PostEngr_Joseph Sat 10 Dec 2016, 9:33 am

If the second part of the answer is more than two digits, add the left most digit to the first part. 

Example:
80 × 80

Solution:
80-20 = 60 (this is the first part) 
20 × 20 = 400 (00 is the second part, add 4 to the first part 60) 

60 + 4 = 64 (this becomes the first part) 

Ans.: 6400
Engr_Joseph
Engr_Joseph
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Gender Gender : Male
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My Club My Club : Manchester City
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PostEngr_Joseph Sat 10 Dec 2016, 9:36 am

In 3 digit no.
If second part of answer is more than 2 digit than add first part of answer with left most number of second part and join other number with first part
Example
111×119
Solution
111+19=130 (first part)
11×19=209(second part)
Now
130+2=132
Join- 13209
aNswer = 13209
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