Suppose b is any integer. If  b mod 12 = 5,  what is 6b mod 12? In other words, if division of b by 12 gives a remainder of 5, what is the remainder when 6b is divided by 12? Fill in the blanks to show that the same answer will be obtained no matter what integer is used for b at the start.

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
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Suppose b is any integer. If 

b mod 12 = 5,

 what is 6b mod 12? In other words, if division of b by 12 gives a remainder of 5, what is the remainder when 6b is divided by 12? Fill in the blanks to show that the same answer will be obtained no matter what integer is used for b at the start.

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