8-Digit Number Divisible by 9

Building a Number Together

George and Frederik take turns writing digits to form an 8-digit number.

Rules:

• Digits are placed from left to right (highest to lowest position)
• George goes first
• Each player chooses any digit 0-9 on their turn
• The first digit cannot be 0 (no leading zeros)

George's goal: Make the final 8-digit number NOT divisible by 9

Frederik's goal: Make the final 8-digit number divisible by 9

Question: Can Frederik guarantee the number will be divisible by 9?