document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197897>Question 1197897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that set E = {x | x is an even digit }, use the Roster Method  to show the even digits requested. \r<BR>\n" );
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document.write( "According to the textbook author, the answer is E =  {0, 2, 4, 6, 8}.<BR>\n" );
document.write( "My question is about 0. Is zero an even digit? Why is 0 on that list of even digits for set E?<BR>\n" );
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document.write( "An even number is anything that is a multiple of 2.\r<BR>\n" );
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document.write( "More formally, it's a number of the form 2k where k is an integer.<BR>\n" );
document.write( "set of integers = {..., -3, -2, -1, 0, 1, 2, 3, ...}<BR>\n" );
document.write( "i.e. set of positive and negative whole numbers, with 0 thrown in as well.\r<BR>\n" );
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document.write( "If k = 5 for instance, then 2k = 2*5 = 10 which is even.<BR>\n" );
document.write( "Or if k = 27, then 2k = 2*27 = 54 which is also even.\r<BR>\n" );
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document.write( "We can show that 0 is even since,<BR>\n" );
document.write( "2k = 0<BR>\n" );
document.write( "k = 0/2<BR>\n" );
document.write( "k = 0<BR>\n" );
document.write( "So 2k = 2*0 = 0 is an even number.\r<BR>\n" );
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document.write( "Further Reading<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://mathworld.wolfram.com/EvenNumber.html\">https://mathworld.wolfram.com/EvenNumber.html</a><BR>\n" );
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