Ideas in this flowchart

• Proving 0.9 Repeating Equals 1
• Initial Assumption
• Set x = 0.9 Repeating
• Algebraic Proof
• Multiply by 10
• 10x = 9.9 Repeating
• Subtract x
• 9x = 9
• Divide by 9
• x = 1
• Alternative Method
• Divide by 3
• x/3 = 0.3 Repeating
• 0.3 Repeating = 1/3
• Geometric Series Method
• Rewrite 0.9 Repeating
• Sum of Geometric Series
• First Term / (1 - Common Ratio)
• Result is 1