Some will argue it doesn't
lets take the number N to be 10
multiply it by 10
so 10N = 100
now take away the original N
10N -N = 100 - 10
9N = 90 N = 90/9 N = 10
Lets try this again
eq (a) so lets take N = 0.99999999....
multiply it by 10
eq (b) 10N = 9.9999999....
take away the original Neq (b) - eq (a) 10N-N = 9.9999999.... - 0.99999999....eq (c) 9N = 9 N = 1
take equation (c) N=1 and substitute into equation (a) N=0.99999999....and you get
1 = 0.99999999....
Where is the flaw in maths
Ref:
1. How not to be Wrong. The power of Mathematical Thinking. Jordan Ellenberg