Can you prove 10 equals 1?

Answer 1

no - 10 doesn't equal 1

However, could consider the so-called 'Bold Hypothesis' (introducing a new mathematical object (infinity) which equals 1/0, but otherwise behaves like a real number):

1/0=infinity, therefore 1=infinity*0

you know: 10*0=1*0 (any number *0=0)

multiply each side by infinity (1/0): 10*0*infinity=1*0*infinity

which is the same as: 10*(0*infinity)=1*(0*infinity)

we have already said (1st line) that 1=infinity*0, therefore: 10*1=1*1

which simplifies to give: 10=1

which is impossible?!