What is Common Core 32 -12 and how can I solve it?

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Common Core 32 -12 involves solving the equation 32-12=20 using unconventional methods like subtraction by addition and lattice multiplication. The subtraction method presented involves adding specific numbers (3, 5, 10, and 2) to reach 32, which the user finds unnecessarily complicated compared to traditional methods. The lattice multiplication method is acknowledged as sensible, but the reasoning behind the subtraction method is questioned. Despite seeking clarity from a math teacher, the user feels frustrated by the lack of straightforward explanations. This discussion highlights concerns over the teaching of these methods in schools.
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I am trying very desperately to figure out this specific problem I don't need examples of other problems i need this very very specific problem before i loose my freaking mind. Please someone explain this and show me how it works I am extremely desperate. I am told this is some sort of key, I do not know this is not my math problems or work sheet, just information I was unfortunate enough to stumble on a meme. Absolutely no one can give me a straight answer, I have even asked a math teacher and he had no idea what this was.
 

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The first one is 32-12=20.
The second is 248*38=9386.
The methods used are subtraction by addition and lattice multiplication.
The lattice multiplication is sensible, while correct I do not see the reasoning behind the subtraction, that is not how I would do it.
 
the subtraction 'method' looks like hard work to me! Starting with 12, if you add, in succession, the numbers 3,5,10 and 2, you reach a total of 32. Hence the answer to 32-12 is equal to the sum of those numbers - 20. The choice of numbers to add seems somewhat arbitrary, save for the fact that the intermediate totals are round numbers - well, sort of. I'll stick with the traditional method!
 
Thank you guys, I am digging around looking for every spec of information on this, I can't believe this is being taught in schools now.
 
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