Given an integer N with an odd number of digits. Let M be the integer formed by reversing the order of the digits. (for example, if N= 123, then the integer formed by reversing the order of the digits of N is M = 321). Show that (N)" - (M)" is divisible by 11.
Given an integer N with an odd number of digits. Let M be the integer formed by reversing the order of the digits. (for example, if N= 123, then the integer formed by reversing the order of the digits of N is M = 321). Show that (N)" - (M)" is divisible by 11.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Given an integer N with an odd number of digits. Let M be the integer formed by reversing the order of the digits.
(for example, if N = 123, then the integer formed by reversing the order of the digits of N is M = 321).
Show that (N) power 11- (M) power 11 is divisible by 11.
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