document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183811>Question 183811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain why shifting the decimal point in a number is equivalent to multiplying or dividing a number by a power of ten. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137922 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=137922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Explain why shifting the decimal point in a number is equivalent to multiplying or dividing a number by a power of ten.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Numbers in the decimal system are a sum of multiples of powers of ten.<BR>\n" );
document.write( "The digit to the left of a numerical digit is a multiple of the next<BR>\n" );
document.write( "higher power of ten.<BR>\n" );
document.write( "So multiplying a number by 10 moves each digit one position to the left.<BR>\n" );
document.write( "In effect that means the decimal point moves one position to the right.<BR>\n" );
document.write( "=======================================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );