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 I tell you these facts about a mystery number, :

-1
3829
2
avatar+1314 

I tell you these facts about a mystery number, $c$:

$\bullet$  $1.5 < c < 2$

$\bullet$  $c$ can be written as a fraction with one digit for the numerator and one digit for the denominator.

$\bullet$ Both $c$ and $1/c$ can be written as finite (non-repeating) decimals.

What is this mystery number?

 May 25, 2015

Best Answer 

 #1
avatar+129852 
+10

There may be other possibilities, but 1.6 is one.....

 

1.6  =  8/5

 

1 / (8/5)   =   5/8   =  .625

 

BTW....a fraction will result in a non-repeating decimal when its denominator can only be written in terms of 2 and/or 5 .....  (and nothing else).

 

 

 May 25, 2015

2+0 Answers

 #1
avatar+129852 
+10
Best Answer

There may be other possibilities, but 1.6 is one.....

 

1.6  =  8/5

 

1 / (8/5)   =   5/8   =  .625

 

BTW....a fraction will result in a non-repeating decimal when its denominator can only be written in terms of 2 and/or 5 .....  (and nothing else).

 

 

CPhill May 25, 2015
 #2
avatar
+1

And 0.625 is 625/1000 which divided by 125 on both sides is 5/8

 Jan 21, 2017

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