A palindrome is a number that reads the same forward and backward, such as 2,743,472. (a) Give a clear but brief argument showing that every palindrome with an even number of digits is divisible by 11. (b) Is it possible for a palindrome with an odd number of digits to be divisible by 11? Explain. (a) Choose the correct answer below. O A. The sum of the digits will always be a non-zero multiple of 11 and therefore a palindrome with an even number of digits will always be divisible by 11. O B. The sum of the digits will always be 0 and therefore a palindrome with an even number of digits will always be divisible by 11.

A palindrome is a number that reads the same forward and backward, such as 2,743,472. (a) Give a clear but brief argument showing that every palindrome with an even number of digits is divisible by 11. (b) Is it possible for a palindrome with an odd number of digits to be divisible by 11? Explain. (a) Choose the correct answer below. O A. The sum of the digits will always be a non-zero multiple of 11 and therefore a palindrome with an even number of digits will always be divisible by 11. O B. The sum of the digits will always be 0 and therefore a palindrome with an even number of digits will always be divisible by 11.

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Description: A palindrome is a number that reads the same forward and backward, such as 2,743,472.(a) Give a clear but brief argument showing that every palindrome with an even number of digits is divisible by 11.(b) Is it possible for a palindrome with an odd n

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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Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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Question

A palindrome is a number that reads the same forward and backward, such as 2,743,472.
(a) Give a clear but brief argument showing that every palindrome with an even number of digits is divisible by 11.
(b) Is it possible for a palindrome with an odd number of digits to be divisible by 11? Explain.
(a) Choose the correct answer below.
O A. The sum of the digits will always be a non-zero multiple of 11 and therefore a palindrome with an even number of digits will always be divisible by 11.
O B. The sum of the digits will always be 0 and therefore a palindrome with an even number of digits will always be divisible by 11.

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