anonymous
  • anonymous
Please help will medal Find a rational number and an irrational number that are between 9.5 and 9.7. Include the decimal approximation of the irrational number to the nearest hundredth.
Algebra
katieb
  • katieb
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anonymous
  • anonymous
anonymous
  • anonymous
mathmate
  • mathmate
@abbyfox101 Do you know the difference between a rational number and an irrational number?

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Jaynator495
  • Jaynator495
that is between*
mathmate
  • mathmate
It is always a good idea to review your lessons before you start an exercise. It will save you time. Try the following if you do not have your notes: https://www.mathsisfun.com/irrational-numbers.html
anonymous
  • anonymous
okay
mathmate
  • mathmate
So @abbyfox101 Is sqrt(81) a rational number? Is sqrt(95) a rational number?
anonymous
  • anonymous
square root 18
anonymous
  • anonymous
mathmate
  • mathmate
What about sqrt(18)?
anonymous
  • anonymous
it's a rational number
mathmate
  • mathmate
It is a rational number if it can be represented exactly by a fraction of integers. If you claim that it is a rational number, you have to be able to do that. I cannot! Can you show me the integer fraction that represents exactly sqrt(18)?
mathmate
  • mathmate
Read https://www.mathsisfun.com/irrational-numbers.html it will hep you understand better, especially with examples.
anonymous
  • anonymous
Ok so it's not \[\sqrt{18}\] ok I got that part it's \[\sqrt{95}\]
anonymous
  • anonymous
mathmate
  • mathmate
So what about sqrt(95)?
mathmate
  • mathmate
This is not a multiple choice question that you have!
anonymous
  • anonymous
Ya I know. So sqrt(95) is a rational number right?
mathmate
  • mathmate
It is a rational number if you can find an integer fraction to represent the number, e.g. 5/6 is a rational number, because it can be represented by a fraction of integers.
anonymous
  • anonymous
ok
anonymous
  • anonymous

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