Prove and illustrate the chosen divisibility criteria. a. An integer N is divisible by 17 if and only if subtracting five times the units digit of N from the remaining digits of N gives a multiple of 17.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter11: Rational And Irrational Numbers

Section11.8: Adding And Subtracting Radicals

Problem 5E

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Question

Prove and illustrate the chosen divisibility criteria. a. An integer N is divisible by 17 if and only if subtracting five times the units digit of N from the remaining digits of N gives a multiple of 17. b. An integer N is divisible by 19 if and only if adding twice the units digit of N to the remaining digits of N is a multiple of 19.

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