Numbers and Numerals
Date: 08/29/2002 at 17:29:48 From: Brent Yacobucci Subject: Is 15/3 an integer? I tutor high school mathematics, and a friend of mine threw this question at me. It has his 7th grade daughter, and me, stumped. Is 15/3 an integer? 15/3 reduces to 5, which is certainly an integer. But is 15/3? Similarly, is square root(9) an integer? I can't seem to find anything that says explicitly. Thanks for the help.
Date: 08/29/2002 at 23:48:32 From: Doctor Peterson Subject: Re: Is 15/3 an integer? Hi, Brent. The term "integer" is applied to numbers, not numerals (representations of numbers). So it doesn't matter that you are writing 5 in a fractional form as 15/3; the _number_ is still 5, and is an integer. And sqrt(9) is the integer 3. Similarly, we can say that x+1 is an integer if x is an integer, even though "x+1" is an algebraic expression, not a numeral. If you have any further questions, feel free to write back. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/
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