zaraniaz421 zaraniaz421
  • 07-09-2017
  • Mathematics
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Should the quotient of an integer divided by a nonzero integer always be a rational number? Why or Why not?

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meerkat18
meerkat18 meerkat18
  • 18-09-2017
Yes, it will always be a rational number. I'll expound on this by defining what a rational number is. It is any number that can be expressed as a fraction. Otherwise, it is called an irrational number with a non-terminating decimal expansion. So, although 1/3 has a non-terminating decimal expansion because it is equal to 0.33333333...., it is still a rational number because it can be expressed into a fraction.
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