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I don't know any other system that could be used to replace it. If you aren't going to use it what would you use? If you have a suggestion let us all know.

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After a little more thought .... look at an example

4379 is a nice compact, easily understood notation.

there are a couple of alternatives

Alternative #1 -- 4000+300+70+9 means the same thing, but it takes more space.

Alternative #2 -- Four thousand three hundred seventy nine, using words, but that is what I say in my mind when I interpret the place value system for 4379.

What I'm trying to say is out of these 3 alternatives the numeral/place value system is nice and compact, easily understood, and easy to work with after you spend a little time to learn it which usually happens in grade (grammar) school.

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Q: Why is the place value system used?
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