1 dollar = 100 cents = 10 cents * 10 cents = 1/10 dollar * 1/10 dollar = 1/100 dollar = 1 cent
Here is the proof that 1 dollar = 1 cent. Is there an error in my calculations?
The first error is 100 cents cannot be expressed as 10 cents * 10 cents. The second error is 1/10 dollar * 1/10 dollar = 1/100 dollar. Cents and dollars can not be split into 2 factors like that.