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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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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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