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Topic: Fractions (Read 1971 times) |
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LeoYard
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How can you place fractions on a number line?
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LeoYard
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Posts: 35
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Re: Fractions
« Reply #2 on: Dec 14th, 2011, 11:21am » |
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on Dec 13th, 2011, 10:05pm, towr wrote:
I think we should be able to place fractions on the number line.
By definition, a number line is a picture of a straight line on which every point is assumed to correspond to a real number and every real number to a point.
I just had hard time to do it because of the space between two fractions, two decimal numbers on the line. It seemed to me that fractions take up absolutely no space on the number line
E.g. space between sqr(2) and sqr(2)+epsilon
If we visualize a the fraction a/b as one number,even though it is written using two whole numbers, a and b.
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towr
wu::riddles Moderator
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Re: Fractions
« Reply #3 on: Dec 14th, 2011, 1:01pm » |
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But no number takes up any space on the number line; they're points.
I'd just put them on the number line exactly as I'd put any real number on it. So e.g. I'd put 1/7 1/7th the way between 0 and 1.
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Wikipedia, Google, Mathworld, Integer sequence DB
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LeoYard
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Posts: 35
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Re: Fractions
« Reply #4 on: Dec 17th, 2011, 5:32pm » |
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on Dec 14th, 2011, 1:01pm, towr wrote:| But no number takes up any space on the number line; they're points. |
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Right. I meant space between numbers. As a matter of habit, when writing up the number line, integers are placed, making them easy to visualize them
Quote:
I'd just put them on the number line exactly as I'd put any real number on it. So e.g. I'd put 1/7 1/7th the way between 0 and 1. |
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