document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153128>Question 153128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am the dad here and frustrated I can't help my son with this problem. It reads: If 1.0 km cubed of air has mass 1,200,000,000 kg, what is the density of air in g/cm cubed?  The answer is given as 1.2x10 to the negative 3 g/cm cubed.  We know the equation is density equals mass/volume but we obviously are missing something in the \"power of\" and the ending up with a negative power in the answer. I think we got the conversions correct, but am not even sure of that now. My son and I have worked on this (what appears to be a) simple math problem for over an hour and cannot explain the steps on getting to the answer given. I'm ashamed to admit we're both snowed. Any help would be appreciated. This is from a worksheet and I have no idea if it is from a textbook. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112629 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=112629\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember, \r<BR>\n" );
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document.write( "1 kg = 1000 g or 1 kg = 1*10^3 g\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "1 km = 1000 m = 100,000 cm  or  1 km = 1*10^3 m = 1*10^5 cm\r<BR>\n" );
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document.write( "So 1,200,000,000 kg = 1,200,000,000,000 g or 1,200,000,000 kg = 1.2*10^12 g \r<BR>\n" );
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document.write( "and 1 km^3 = (100,000)*(100,000)*(100,000) cm^3 = 1,000,000,000,000,000 cm^3 = 1*10^15 cm^3\r<BR>\n" );
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document.write( "-----------------------------\r<BR>\n" );
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document.write( "So \r<BR>\n" );
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document.write( "1,200,000,000 kg = 1.2*10^12 g \r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "1 km^3 = 1*10^15 cm^3\r<BR>\n" );
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document.write( "----------------------------------\r<BR>\n" );
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document.write( "Also, remember that\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"> \r\n" );
document.write( "            Mass\r\n" );
document.write( "Density =  ---------\r\n" );
document.write( "            Volume\r\n" );
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document.write( "which is symbolically \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=M%2FV ALIGN=MIDDLE  ALT=\"D=M%2FV\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=%281.2%2A10%5E12%29%2F%281%2A10%5E15%29 ALIGN=MIDDLE  ALT=\"D=%281.2%2A10%5E12%29%2F%281%2A10%5E15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the given mass M=1.2*10^12 g and the given volume V=1*10^15 cm^3 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=1.2%2A10%5E%2812-15%29 ALIGN=MIDDLE  ALT=\"D=1.2%2A10%5E%2812-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide 1.2 by 1 to get 1.2. Divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E12 ALIGN=MIDDLE  ALT=\"10%5E12\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E15 ALIGN=MIDDLE  ALT=\"10%5E15\"   DISABLED_style= \"max-width:90%; height:auto;\" > by subtracting\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=1.2%2A10%5E%28-3%29 ALIGN=MIDDLE  ALT=\"D=1.2%2A10%5E%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract the exponents.\r<BR>\n" );
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document.write( "So the density is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.2%2A10%5E%28-3%29 ALIGN=MIDDLE  ALT=\"1.2%2A10%5E%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > g/cm^3 </SPAN>\n" );
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