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4. A palindrome number is a number that remains the same when its digits are reversed. For example, the following numbers are palindromes: 7 22 131 5665 10 901 480 084. Show that a palindrome with an even number of digits is divisible by 11. Hint: Read your notes.

4. A palindrome number is a number that remains the same when its digits are reversed. For example, the following numbers are palindromes: 7 22 131 5665 10 901 480 084. Show that a palindrome with an even number of digits is divisible by 11. Hint: Read your notes.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. A palindrome number is a number that remains the same when its digits are reversed. For example, the following numbers are palindromes: 7 22 131 5665 10 901 480 084. Show that a palindrome with an even number of digits is divisible by 11. Hint: Read your notes.
Transcribed Image Text:4. A palindrome number is a number that remains the same when its digits are reversed. For example, the following numbers are palindromes: 7 22 131 5665 10 901 480 084. Show that a palindrome with an even number of digits is divisible by 11. Hint: Read your notes.
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