comment: >
  
  Because multiply by zero DOES give you zero. You can have 2 groups of nothing. You can’t divide something by nothing.
  I’m not going to find the actual calculus behind it, but think of numbers very close to zero in both cases.
  2*.000001=a number very close to zero.
  2/.0000001=a big number, and the more decimals you add the closer to infinity you get. It would never converge on an actual answer.
  Edit: the way I think of it is dividing by zero is kind of like multiplying by infinity. Might not be the most accurate but it’s how I’ve always thought of it.
context: If 0/0=1, then we have:
  2*0 = 0
  (2*0)/0 = 0/0
  2*(0/0) = 0/0
  2*1=1
  2=1
  Letting 0/0 = 1 would result in a lot of contradictions with the rest of mathematics. >
  
  So why is it fine to multiply a number by 0?
  Like, it seems like the major issue is allowing the use of 0 either way for a multiplication or division. I never got the whole n*0=0 thing because it’s the only subset of multiplications that isn’t reversible, unlike a*b=c and a=c/b or b=c/a. Like 0 fundamentally beaks the symmetry between multiplication and division, but we just accept it’s okay for multiplication for reasons.