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1. dozen by dozen :
formulas : the head by head , tail and tail, tail by tail .
Example : 12 × 14 =?
solution : 1 × 1 = 1
2 +4 = 6
2 × 4 = 8
12 × 14 = 168
Note : a bit multiply , not use the 0 number placeholder .
2. head the same ,
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formulas: a premier multiplication 1 to the head by head , tail by tail .
Example : 23 × 27 =?
solution : 2 +1 = 3
2 × 3 = 6
3 × 7 = 21
23 × 27 = 621
Note: a bit amplify, not two use the number 0 placeholder .
3. the first multiplier complementary ,
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formulas: a first add 1 to the head by head , tail by tail .
Example : 37 × 44 =?
solution : 3 +1 = 4
4 × 4 = 16
7 × 4 = 28
37 × 44 = 1628
Note: a bit multiply, not to use the 0 digit placeholder .
4. dozens of dozens of an by an :
formulas : the head by head ,
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Example : 21 × 41 =?
solution : 2 × 4 = 8
2 +4 = 6
1 × 1 = 1
21 × 41 = 861
5.11 by anyone number :
formulas : the whereabouts of the fixed end to end ,
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Example : 11 × 23125 =?
solution : 2 +3 = 5
3 +1 = 4
1 +2 = 3
2 +5 = 7
2 and 5 , respectively, in the beginning and end
11 × 23125 = 254375
Note : and over 10 to beyond .
6. dozen by any number :
formulas : the first is not the second multiplier fall trends , the first element is multiplied by the second factor back the bits of each number ,
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Example : 13 × 326 =?
solution : 13 bits is 3
3 × 3 +2 = 11
3 × 2 +6 = 12
; 3 × 6 = 18
13 × 326 = 4238
Note : and over 10 to enter one .
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