document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824763>Question 824763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the result when x is rounded to the nearest hundredth?<BR>\n" );
document.write( " (1)When x is rounded to the nearest thousandth the result is 0.455. <BR>\n" );
document.write( "(2) The thousandths digit of x is 5\r<BR>\n" );
document.write( "\n" );
document.write( "if (1) alone is sufficient to answer the question, answer is A. if (2) alone is sufficient to answer the question, answe is B. if (1) and (2) together are sufficient to answer, then answe is C. if each of (1) and (2) alone is sufficient to answer, answer is D. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496776 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=496776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> NOT A:<BR>\n" );
document.write( "If x, rounded to the nearest thousandth is 0.455,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4545%3C=x%3C0.4555 ALIGN=MIDDLE  ALT=\"0.4545%3C=x%3C0.4555\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4545%3C=x%3C0.455 ALIGN=MIDDLE  ALT=\"0.4545%3C=x%3C0.455\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be rounded up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.455 ALIGN=MIDDLE  ALT=\"0.455\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.455%3Cx%3C4.555 ALIGN=MIDDLE  ALT=\"0.455%3Cx%3C4.555\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be rounded down to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.455 ALIGN=MIDDLE  ALT=\"0.455\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C0.4545 ALIGN=MIDDLE  ALT=\"x%3C0.4545\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be rounded down to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.454 ALIGN=MIDDLE  ALT=\"0.454\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0.4555 ALIGN=MIDDLE  ALT=\"x%3E=0.4555\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be rounded up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.456 ALIGN=MIDDLE  ALT=\"0.456\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is not enough information to find the result when x is rounded to the nearest hundredth,<BR>\n" );
document.write( "because when rounding to the nearest hundredth,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4545 ALIGN=MIDDLE  ALT=\"0.4545\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4547 ALIGN=MIDDLE  ALT=\"0.4547\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "or any number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4545%3C=x%3C0.455 ALIGN=MIDDLE  ALT=\"0.4545%3C=x%3C0.455\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "would be rounded down to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.45 ALIGN=MIDDLE  ALT=\"0.45\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.455 ALIGN=MIDDLE  ALT=\"0.455\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4554 ALIGN=MIDDLE  ALT=\"0.4554\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "or any number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.455%3C=x%3C4.555 ALIGN=MIDDLE  ALT=\"0.455%3C=x%3C4.555\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "would be rounded up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.46 ALIGN=MIDDLE  ALT=\"0.46\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "NOT B (at least not the way I read it):<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0.005 ALIGN=MIDDLE  ALT=\"x=0.005\"   DISABLED_style= \"max-width:90%; height:auto;\" > the thousandths digit of x is 5,<BR>\n" );
document.write( "but the result when x is rounded to the nearest hundredth is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.01 ALIGN=MIDDLE  ALT=\"0.01\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "There are many numbers that have a 5 for the thousandths digit<BR>\n" );
document.write( "We need to know the other digits too.<BR>\n" );
document.write( "If the higher value digits were <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.45 ALIGN=MIDDLE  ALT=\"0.45\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "it could be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%220.4550%22%3C=x%3C0.46 ALIGN=MIDDLE  ALT=\"%220.4550%22%3C=x%3C0.46\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which would round up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.46 ALIGN=MIDDLE  ALT=\"0.46\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C%29 ALIGN=MIDDLE  ALT=\"highlight%28C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= (1) AND (2) TOGETHER:<BR>\n" );
document.write( "(1) means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.4545%3C=x%3C0.4555 ALIGN=MIDDLE  ALT=\"0.4545%3C=x%3C0.4555\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) along with (2) means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%220.4550%22%3C=x%3C0.4555 ALIGN=MIDDLE  ALT=\"%220.4550%22%3C=x%3C0.4555\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > would round up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.46 ALIGN=MIDDLE  ALT=\"0.46\"   DISABLED_style= \"max-width:90%; height:auto;\" > for sure.<BR>\n" );
document.write( " <BR>\n" );
document.write( "WARNING:<BR>\n" );
document.write( "If by \"(2) The thousandths digit of x is 5\" we are supposed to assume that we somehow know that the digits to the left of the thousandths digit are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.45 ALIGN=MIDDLE  ALT=\"0.45\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "then B would be the answer. </SPAN>\n" );
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