document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894298>Question 894298</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to sense irrational numbers?i could not sense it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541893 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=541893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some numbers just cannot be expressed as a whole number divided by another whole number.\r<BR>\n" );
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document.write( "Any whole number divided by another whole number will produce either a terminating digit, or a repeating pattern of digits.  Try a few examples yourself and see.  Pick any two whole numbers; divide one of them by the other  (you should first be comfortable with long division).  Either the quotient terminates, or gives repeating digit pattern.  These are RATIONAL NUMBERS.\r<BR>\n" );
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document.write( "Some IRRATIONAL numbers, which cannot be written as the quotient of two whole numbers, are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, 3.141592653589793...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e ALIGN=MIDDLE  ALT=\"e\"   DISABLED_style= \"max-width:90%; height:auto;\" >, 2.718281828.... </SPAN>\n" );
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