Commutative property fails?
Algebra
Level
1
I will attempt to prove that \(\frac00 = 1 \). In which of these steps did I first make a mistake by using flawed logic?
Step 1: We can rewrite 15 as \(7 + 8\) or \(8 + 7\).
Step 2: This means that \(7 + 8 = 8+ 7 \).
Step 3: If we move one term from each side of the equation to the other side, we will get \[7-7 = 8-8.\]
Step 4: Dividing both sides by \(8-8\) gives \(\frac{7-7}{8-8} = 1 \).
Step 5: Since \(7-7= 0\) and \(8-8 = 0 \), \( \frac00 = 1 \).
by
Pi Han Goh