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Mathematics 20 Online
OpenStudy (anonymous):

22/30 45/125 150/32

OpenStudy (anonymous):

these are terminating or not terminating decimal

OpenStudy (anonymous):

0.73333333333 0.36 4.6875

OpenStudy (anonymous):

without divison

OpenStudy (agent0smith):

There is a rule to work out whether a decimal is terminating or not.

OpenStudy (anonymous):

i know, just confirm my answer 1) non-terminating 2) & 3) terminating

OpenStudy (agent0smith):

The denominator has to have only powers of 2 and 5 ie \[\Large 2^a 5^b\] 22/30 45/125 150/32

Directrix (directrix):

I think of terminating rational numbers as repeating zeros. In that respect, there are no terminating rational numbers. Just saying.

OpenStudy (agent0smith):

\[\large 125 = 2^0 5^3\] \[\Large 32 = 2^5\] 30= ... 2^5 is 32, 5^2 is 25... so, not expressible in that form.

Directrix (directrix):

@agent0smith I have not seen that rule before but it certainly makes sense. I've learned something, and for that, I am appreciative.

OpenStudy (agent0smith):

:) I only saw it/learned it recently. I had to look it up to remember what it was, though.

OpenStudy (anonymous):

so my answer is correct

OpenStudy (agent0smith):

Yes, since the denominators of the second and third can be expressed as \[\Large 2^a 5^b\] (note that a and b must be integers)

OpenStudy (anonymous):

@agent0smith thank u

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