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### Finding Numbers Between Decimals

Date: 08/13/98 at 17:49:37
From: VALDEMAR
Subject: Problem-Solving with Decimals

How do I find 3 decimals that are greater than 3.71 but less than

Thank you,
Val

Date: 08/14/98 at 12:52:38
From: Doctor Peterson
Subject: Re: Problem-Solving with Decimals

Hi, Val.

It sounds like this problem is intended to introduce you to the magic
of decimals. The closer you look at the number line, the more numbers
you can see. Here's how it works.

0     1     2     3     4     5     6     7     8     9    10
+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+

Now look more closely at the space between 3 and 4, by showing one
decimal place:

3.0   3.1   3.2   3.3   3.4   3.5   3.6   3.7   3.8   3.9   4.0
+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+

Now look even more closely at the space between 3.7 and 3.8, by showing
two decimal places:

3.70  3.71  3.72  3.73  3.74  3.75  3.76  3.77  3.78  3.79  3.80
+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+

Do you see how each decimal place lets you see more numbers in between

Now it's your turn. Look between 3.71 and 3.72 and see what you can
find. There are lots of numbers in there. The only hard part is to
choose!

- Doctor Peterson, The Math Forum
Check out our web site! http://mathforum.org/dr.math/

Associated Topics:
Elementary Fractions

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