22/30 45/125 150/32
these are terminating or not terminating decimal
0.73333333333 0.36 4.6875
without divison
There is a rule to work out whether a decimal is terminating or not.
i know, just confirm my answer 1) non-terminating 2) & 3) terminating
The denominator has to have only powers of 2 and 5 ie \[\Large 2^a 5^b\] 22/30 45/125 150/32
I think of terminating rational numbers as repeating zeros. In that respect, there are no terminating rational numbers. Just saying.
\[\large 125 = 2^0 5^3\] \[\Large 32 = 2^5\] 30= ... 2^5 is 32, 5^2 is 25... so, not expressible in that form.
@agent0smith I have not seen that rule before but it certainly makes sense. I've learned something, and for that, I am appreciative.
:) I only saw it/learned it recently. I had to look it up to remember what it was, though.
so my answer is correct
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)
@agent0smith thank u
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