# trachtenberg maths

Learn to multiply without knowing your tables. You learn a rule for each number rather than a table. You must learn them in a certain order which is
11,12,6,7,5,9,8,4,3

this is because the rule for eleven is the simplest, and each subsequent rule is only a bit different from its predecessor: for example the rule for multiplying by six is very similar to the rule for multiplying by twelve and so on. If you tried to learn the rule for multiplying by three before learning all the others you would get lost. Frankly I think some of the later, more complicated rules are a bit self-defeating. Now choose a number

multiply by 11
multiply by 12
multiply by 6
multiply by 7
multiply by 5
multiply by 9
multiply by 8
multiply by 4
multiply by 3

compare with BBC bitesize
compare with BBC skillswise

download zip file of 'memtoo.exe' which is another program that teaches the method but it will run from the command prompt. It will run on a fifteen-year-old PC that won't even run windows

learn algebra in literally minutes from this incomprehensible graphic