This is true. I also noticed, when I was checking if it is correct, that the tens column, when I was adding them, are added together to equal the hundreds digit. Also the ones digits are subtracted to equal the answers units column. I also notice that if 11 is multiplied by a multiple of 10, it is just 11 times the 10's digit and add a 0 to the end of the answer.
I would like to ask what happens if you use a different times tables. I wonder if we use, for example, the 12's times tables. I found that it doesn't work.
Yes I can recreate this trick. I just can't do it using proper mathematics since I swap two numbers when I got the answer. I only recreated the trick for 54 times 11.
I did the trick for 13 times 11. I found out that the trick worked for 13 times 11, and it might also work for any multiple of 11.
Yes the trick works for any multiple of 11. I tried using 12 times 11 and 32 times 11. The trick worked both times. So, yes, it works for any multiple of 11. The trick even works for single digit numbers. If we do 3 times 11, and break the 3 into 3 and nothing, if you add those 2 numbers and follow the steps, you get 33. So it works for any multiple of 11.
I can sort of explain why it works. I think that this strategy is kind of like the split strategy. I think that this only works for the 11 times tables because there is an extra step added, which is the addition step. I also think it works only for the 11 times table because 11 is not split and that might have something to do with it.
Solution
160500
Problem / game
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Reetinderjit
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Glendenning Public School
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