multiplication

Please explain the above with elaborate explanation.


this is a trick to multiply any num.. by 12
sappose u have to multiply 123 by 12
step 1 -write down the first left hand side digite as it is
in this case "1" is the digit
step 2- multiply first left hand side digite "1" by "2" of "12"
u will have 1*2=2 now add the 2nd left hand side digite "2" to it
2+2=4
step 3- multiply 2nd left hand side digite "2" by "2" of "12"
u will have 2*2=4 add 3rd left hand side digite "3" to it
4+3=7
step 4-just multiply 3rd left hand side digite 3 to 2.
3*2=6

so the answer is 1476. there u have it
 
this is a trick to multiply any num.. by 12
sappose u have to multiply 123 by 12
step 1 -write down the first left hand side digite as it is
in this case "1" is the digit
step 2- multiply first left hand side digite "1" by "2" of "12"
u will have 1*2=2 now add the 2nd left hand side digite "2" to it
2+2=4
step 3- multiply 2nd left hand side digite "2" by "2" of "12"
u will have 2*2=4 add 3rd left hand side digite "3" to it
4+3=7
step 4-just multiply 3rd left hand side digite 3 to 2.
3*2=6

so the answer is 1476. there u have it
Thanks..... however, it would have been easier to understand the above, if you have not taken 123 but something like 567.

What shall we do if we have a carry?

Please explain the multiplication of 9876 with 12 !!
 
12*98

step 1-9 as it is 9 (9+"2"(from step 2)=11)--->11
step 2-9*2=18 then we add 2nd dig 8-->18 +8=26--->6+"1"(from step 3)-->7
keep the 6 and send thethe 2 to step 1 and add (9+2=11)
step 3-8*2=16--->6,
keep 6 and send "1" to step 2
answer ---1176
 
12*98

step 1-9 as it is 9 (9+"2"(from step 2)=11)--->11
step 2-9*2=18 then we add 2nd dig 8-->18 +8=26--->6+"1"(from step 3)-->7
keep the 6 and send thethe 2 to step 1 and add (9+2=11)
step 3-8*2=16--->6,
keep 6 and send "1" to step 2
answer ---1176
Thanks for the explanation, although I personally feel that the method is quite complicated since you would have to add to the previous step the tens digit and hence, in CAT where u get 2-3 seconds to do calculations, such methods will take away a lot of time.

Try to find simpler methods.
 
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