Recall that a palindrome is a number that reads the same backward as forward. For example, 22, 131, and 1331 are all palindromes. Prove that every four digit palindrome is divisible by 11.

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Recall that a palindrome is a number that reads the same backward as forward. For example, 22, 131, and 1331 are all palindromes.
Prove that every four digit palindrome is divisible by 11.
Transcribed Image Text:Recall that a palindrome is a number that reads the same backward as forward. For example, 22, 131, and 1331 are all palindromes. Prove that every four digit palindrome is divisible by 11.
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