Posted by **B8** on Sunday, November 17, 2013 at 10:40pm.

What is the best sequence of names to identify this set of numbers?

(1 3/5,-10, 0.51(the one is repeating), TT,17)

1.(rational,integer,irrational,irrational,natural)

2. (rational,irrational,rational, irrational, whole)

3.rational,real,rational,real, natural)

4. (real,integer, irrational,irrational,natural)

Off the bat I got rid of choices 2 and 3.

I picked choice#1 since a rational number is more specific and a real number can be rational or irrational.

Is this correct?

If I am not correct is there a website to hook me up with to explain the responses

Thank you

- math- please help -
**Steve**, Monday, November 18, 2013 at 12:06am
0.51111... is rational, as are all numbers with repeating decimal places. Its value is 0.5 + 1/90 = 23/45

so, the most specific ordering is

rational,integer,rational,irrational,natural

Looks to me like #3 is closest, since rational and irrational are mutually exclusive, and #1,2,4 all have "irrational" in a spot where the value is rational.

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