document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=723237>Question 723237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I just need to make sure my answers are correct for this problem: <BR>\n" );
document.write( "Tell whether the following numbers are irrational or rational.<BR>\n" );
document.write( "1. 37 Answer:Rational 2.&#8730;5 Answer:Irrational 3.&#8730;9 Answer:Rational 4.6&#960; Answer: Irrational 5.2/3 Answer: Rational 6. .2222.... Answer:Irrational 7&#8730;25 Answer: Rational 8.3&#8730;25 (3 is a power) Answer: Irrational<BR>\n" );
document.write( "9. 12.45 Answer: Rational 10. 2.61794 Answer: Rational 11. .303030....... Answer: Irrational 12.&#8730;12 Answer: Irrational<BR>\n" );
document.write( "13. &#8730;1/2 Answer: Irrational 14.3&#8730;125 Answer: Irrational 15. 1+&#8730;2 Answer: Irrational\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443182 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=443182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "I believe problem number 8 was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C25%29 ALIGN=MIDDLE  ALT=\"root%283%2C25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is irrational.<BR>\n" );
document.write( "I believe problem number 14 may be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C125=5%29 ALIGN=MIDDLE  ALT=\"root%283%2C125=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is rational, but if it was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%28125%29 ALIGN=MIDDLE  ALT=\"3sqrt%28125%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , then it is irrational<BR>\n" );
document.write( "0.2222.... = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F9 ALIGN=MIDDLE  ALT=\"2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a rational number<BR>\n" );
document.write( "0.303030....= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F33 ALIGN=MIDDLE  ALT=\"10%2F33\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a rational number<BR>\n" );
document.write( "Irrational numbers generate endless decimals that have no repeating pattern.<BR>\n" );
document.write( "Repeating decimals are always rational. To express them as a fraction, you can set up an \"equation\" and solve it, like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 0.2222...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x ALIGN=MIDDLE  ALT=\"10x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 2.2222...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-x ALIGN=MIDDLE  ALT=\"10x-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 2.2222... - 0.2222... =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x-x=2 ALIGN=MIDDLE  ALT=\"10x-x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x=2 ALIGN=MIDDLE  ALT=\"9x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2F9=2%2F9 ALIGN=MIDDLE  ALT=\"9x%2F9=2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%2F9%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 0.303030...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100y ALIGN=MIDDLE  ALT=\"100y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 30.303030...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100y-y ALIGN=MIDDLE  ALT=\"100y-y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 30.303030... - 0.303030... =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100y-y=30 ALIGN=MIDDLE  ALT=\"100y-y=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99y=30 ALIGN=MIDDLE  ALT=\"99y=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=99y%2F99=30%2F99 ALIGN=MIDDLE  ALT=\"99y%2F99=30%2F99\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=30%2F99 ALIGN=MIDDLE  ALT=\"y=30%2F99\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=10%2F33%29 ALIGN=MIDDLE  ALT=\"highlight%28y=10%2F33%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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