document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232818>Question 232818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following statments are always true?<BR>\n" );
document.write( "(1) The sum of two imaginary numbers is an imaginary number<BR>\n" );
document.write( "(2) A real number is a complex number<BR>\n" );
document.write( "(3) A complex number is an imaginary number<BR>\n" );
document.write( "(4) The product of two imaginary numbers is a real number<BR>\n" );
document.write( "--------------------------------------------------------------------------------Please answer the question and explain how to get the answer :) Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171947 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=171947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which of the following statments are always true?<BR>\n" );
document.write( "(1) The sum of two imaginary numbers is an imaginary number<BR>\n" );
document.write( "This is true unless the sum is zero.<BR>\n" );
document.write( "2i + 3i = 5i<BR>\n" );
document.write( "ai + bi = (a+b)i<BR>\n" );
document.write( "4i + (-4i) = 0<BR>\n" );
document.write( "Always an i unless a = -b, then it's zero (0).<BR>\n" );
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document.write( "(2) A real number is a complex number<BR>\n" );
document.write( "Any real number can be presented as a complex number.<BR>\n" );
document.write( "4 = 4 + 0i = 4 - 0i<BR>\n" );
document.write( "The definition of \"complex number\" determines where 0i is included.<BR>\n" );
document.write( "Chances are False is the answer expected, tho.<BR>\n" );
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document.write( "(3) A complex number is an imaginary number<BR>\n" );
document.write( "A complex number is a real part + imaginary part.  Like the one above, tho, it can be 0 + 3i, or 0 - bi.<BR>\n" );
document.write( "I think False is expected.<BR>\n" );
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document.write( "(4) The product of two imaginary numbers is a real number<BR>\n" );
document.write( "True.  ai x bi = -ab<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );