document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756913>Question 756913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Of the following sets of numbers, irrational, rational terminating integer, rational repeating, and rational terminating; which set does the following numbers belong?<BR>\n" );
document.write( "a. 1/3<BR>\n" );
document.write( "b. 1/4<BR>\n" );
document.write( "c. the square root of 17<BR>\n" );
document.write( "d. the square root of 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460474 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. 1/3 - any number that can be written as a fraction of two integers is rational.  1/3 = .333...repeating, so this is a rational, repeating decimal number.<P><BR>\n" );
document.write( "b. 1/4  = .25, this is a rational, terminating decimal number.<P><BR>\n" );
document.write( "c. the square root of 17 - irrational.  It cannot be expressed as a fraction of two integers.<P><BR>\n" );
document.write( "d. the square root of 9 = 3.  This is a rational number because it can be represented as a fraction of two integers.  3/1.<P><BR>\n" );
document.write( "There is no such thing as a rational terminating integer.  Terminating/repeating has to do with decimals.  Integers have no decimals, so aren't described as terminating or repeating. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );