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Which of the following numbers do you think are rational numbers? Explain why. 

a) 4.21 repetitive 
b) 2.78

 Sep 23, 2015
 #1
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Edit

 

Both are rational

 

For the first, we have   4 + 21/99  = 4 + 7/33 =  139/33

 

For the second, we have   2.78   =  2 + 78/100   =  278/100  = 139/50

 

Thanks, guys, for pointing out my earlier error.....however.....the "Guest's" answer of 41/100  is not correct because the "21" part does not repeat

 

Check to see that 139/33 results in a "repeating"  decimal part of "21"

 

 

cool cool cool

 Sep 23, 2015
edited by CPhill  Sep 23, 2015
edited by CPhill  Sep 23, 2015
 #2
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a- Is a rational because you can write it as a ratio 4.21=4 21/100=421/100

b- Is a rational because you can write it as a ratio 2.78=2 39/50  =139/50

 Sep 23, 2015
 #3
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Note: CPhill first answer about 4.21 is incorrect. The "Guest" first answer is correct.

 Sep 23, 2015

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