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Addition

Addition based on end digit

The end digit of 17=7
The end digit of 8908=8
The end digit of 900076543=3

➡Addition based on end digit

1)7+9=16
2)89+6=95 (9+6=15,There fore end digit of 15 is 5 so keep the five and the 1 +8)
3)567+45=  13(7+5=613,6+4=10+1=11,1+5=6)

➡THE DOT METHOD
All this is based on end digits so you need to learn it first.
1.
  43
+.34
+56.
+.78.
+56
_____
267 (start from bottom right side numbers. 
6+8=14 the trick here is add the number from bottom to top and put a dot if it's more than 10 ie 14 is more than 10 therefore put a dot add4+6=10,put a dot and add 0+4=4 it is less than 10 so carry 4 and add 4+3=7 so 7 is <10.so write 7 .


Than7+5=12put dot ,2+5=7+3=10 put dot than 4+the dot you have put in right side.
4+2dots=6 write 6


Than add the dots in left side That is 2 dots. 
So the answers is 267.
This is just like using end digit with a dot.
2.
  6. (4+6=10)
+9. (9+5=14)
+7.(8+7=15)
+8
+9.(1+9=10)
+5.
+6
_____
   5 0

3.
  .89.76
+.646.9.(9+8=17, carry7)
+6458
_______
 2 1 9 8 7

This may seem confusing but it's the easiest method for large number of additions.

If you practice you can learn it.



If the after adding the dot the no. Becomes more than ten then add a dot on the top of left side.
Example:-
   .
  .96.
+ 37
+.91.
+ 29
+.95.
+.66.
+ 87
+.58.
+.89.
+ 75
______
  723     here the dot make 12 so write 2 and put a dot on the top on left top corner.
Add that dot with the left corner dots.

➡Racy Addition


  345672148
+356809876
----------------------
  702482024
3+3=6 start addition from left side.
Check whether the next number (also the other next digits. )is more than ten or less than 10
If more than ten then add 1 to previous no.6+1=7.
Proceed in the same way.

  7895322422168
+4890886432211
__________________=12786208854379
12
    78
        620
            8854379
    

POWER 10 SUBTRACTION 
If there are zero in above no. Subtract all zero from 9 and the last one from 10.
Example
  63000000
-49784200
____________=13215800
13
    (9-7=2)
    (9-8=1)
     (9-4=5)
     (10-2=8)
     00

  40000005
-29747898
___________
10252107

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