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January 30, 2015

January 30, 2015

Posted by **blondie** on Wednesday, December 5, 2007 at 1:23am.

1/2

1/3

1/4

1/5

1/6

1/7

1/8

1/9

1/10

1/11

1/12

State a general rule describing which fractions have decimal forms that terminate and which have decimal forms that repeat.

Now test your rule on at least three new fractions. That is, be able to predict whether a fraction such as or has a terminating decimal or a repeating decimal. Then confirm your prediction.

- Math 115 -
**drwls**, Wednesday, December 5, 2007 at 2:05amComplete the table shown by converting each fraction to decimal form. The answer to the other questions should then become apparent.

The 1/x fractions that do NOT have terminating decimal forms are

1/3, 1/6, 1/7, 1/9, 1/11, 1/13, 1/14 etc. In all of these repeating cases, the denominator is either a prime number other than 5, or can be factored into a set of numbers that contain a prime number other than 5. My guess is that 5 is a special case because it is 1/2 of ten, the base of the decimal numbering system.

Show us your work and we will be glad to critique it.

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