If you must do the difference of squares: the average of 23 and 69 is 46, so 23 X 69 becomes 46^2 - 23^2. Then the calculation becomes 23 X 23 X 3. See my post about complements if you want to know more about this.Īnother way is realizing that 69 = 23 X 3. can you please give examples for those methods of 2dx2d multiplication?Ģ3圆9: There are a couple of ways to do this. I can not for the simple reason that I don’t memorize these numbers.įor me, it is much more fun to actually calculate these numbers.Ĥ3x47: here, I don’t know how this method is called but you can see that 3+7: 10 and they are in the same baseĦ0x37: this is the same as 1dx2d, you only add one 0 to the answerġ9x19: this is a square. Start with 100, then move 2 cells to can you please tell me how to memorize times tables upto at least 20x20 using coding system/pegs/PAO system etc.? Now look at the numbers and see if you can do this visually. 10 squared is 100, 8 and 12 are 2 removed from 10, so we need to subtract 2 squared or 4 from 100, 100 - 4 = 96. Put in another way: the average of 8 and 12 is 10. So if you learn the squares, it is easy to move from place to place. Starting from the squares (1, 4, 6, 16, etc.), all cells 3 step diagonally removed are 9 lower. Starting from the squares (1, 4, 6, 16, etc.), all cells 2 step diagonally removed are 4 lower.
Starting from the squares (1, 4, 6, 16, etc.), all cells 1 step diagonally removed are 1 lower. Now we are going to cut the work in another half as well. The middle line is a line with squares and the numbers below it are replicated above it.
Most people know the table 1-10, maybe even 1-12: Let’s see if we as a forum can come up with ways to quickly do this. In my opinion it generates a lot more mental plasticity if you can actually quickly calculate them. However, it is still a staggering amount of data to memorize. Since 318 X 524 is the same as 524 X 318, you can half the amount of numbers.
The multiplication tables 1-1000 contain a million numbers. This can be done using your preferred number coding system like the Major System:
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