Mathematics

Question

If the place values are always grouped in ones, tens, and hundreds, then one-thousand, ten-thousand, and hundred-thousand, then one-million, ten-million, and hundred million----why isn't there a large group name for the ones, tens, and hundreds when you start? Is it one units, ten units, hundred units?

Answer

Dear Gloria,<BR><BR>Thank you for submitting your question to AskNSDL. I apologize for the delay. It appears that our experts were unable to respond to your question. They are all volunteers, and schedules can be very busy.<BR><BR>I searched&nbsp; AskNSDL's "Top Sites" in Number Theory, <A href=https://ask.nsdl.org/default.aspx?cat=1177">https://ask.nsdl.org/default.aspx?cat=1177</A>, and the NSDL, <A href=http://nsdl.org">http://nsdl.org</A>, &nbsp;for resources that could help you find an answer to your question.&nbsp; I've suggested&nbsp;several&nbsp;resources &nbsp;below, but you there are many more. I searched on the phrase (enclosed in quotes): "place value".<BR><BR>* "Place value and the number nine"&nbsp;- I'm not a mathematician, but check out this answer from&nbsp;"Dr. Peterson" of the &nbsp;Math Forum,&nbsp;<A href=http://mathforum.org/dr.math/">http://mathforum.org/dr.math/</A>&nbsp;.&nbsp;He explains that the&nbsp; reason stems from the base 10 numbering &nbsp;system. Here is an excerpt:<BR><BR>"The base-ten system is built around the idea that you can name every number by counting tens. Once you have ten tens, you give it a new name (hundreds) and write it using the hundreds place. When you get ten hundreds, you give that a new name (thousands) and use the thousands place. You never need to write a digit larger than 9, because ten of anything gets a new name."<BR><A href=http://mathforum.org/library/drmath/view/61161.html">http://mathforum.org/library/drmath/view/61161.html</A><BR><BR>* Place Value Blocks, <A href=http://mathforum.org/t2t/message.taco?thread=2129&amp;message=1">http://mathforum.org/t2t/message.taco?thread=2129&amp;message=1</A><BR><BR>* Numbering Systems and Place Values<BR><A href=http://www.mazes.com/numberingsystems.html#america">http://www.mazes.com/numberingsystems.html#america</A><BR><BR>* The Mathematical Atlas: Number Theory<BR><A href=http://www.math.niu.edu/~rusin/known-math/index/11-XX.html">http://www.math.niu.edu/~rusin/known-math/index/11-XX.html</A><BR><BR>I hope this information helps. Please feel free to resubmit your question if you would still like an answer from an expert, and we will do our best to help.&nbsp; Your library is also a good place for reference material in mathematics.<BR><BR>Best wishes,<BR>Joyce W.<BR>AskNSDL staff/Virtual Reference Librarian<BR><BR><BR> http://mathforum.org/library/drmath/view/61161.html http://mathforum.org/t2t/message.taco?thread=2129&message=1 http://www.mazes.com/numberingsystems.html#america http://www.math.niu.edu/~rusin/known-math/index/11-XX.html <P>base ten<BR>place value<BR>number names</P> http://vrd.askvrd.org/services/answerschema.xml