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Algebra 24 Online
OpenStudy (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.

OpenStudy (anonymous):

@agent0smith

OpenStudy (anonymous):

@mathmate

OpenStudy (mathmate):

@abbyfox101 Do you know the difference between a rational number and an irrational number?

jaynator495 (jaynator495):

that is between*

OpenStudy (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

OpenStudy (anonymous):

okay

OpenStudy (mathmate):

So @abbyfox101 Is sqrt(81) a rational number? Is sqrt(95) a rational number?

OpenStudy (anonymous):

square root 18

OpenStudy (anonymous):

@mathmate

OpenStudy (mathmate):

What about sqrt(18)?

OpenStudy (anonymous):

it's a rational number

OpenStudy (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)?

OpenStudy (mathmate):

Read https://www.mathsisfun.com/irrational-numbers.html it will hep you understand better, especially with examples.

OpenStudy (anonymous):

Ok so it's not \[\sqrt{18}\] ok I got that part it's \[\sqrt{95}\]

OpenStudy (anonymous):

@mathmate

OpenStudy (mathmate):

So what about sqrt(95)?

OpenStudy (mathmate):

This is not a multiple choice question that you have!

OpenStudy (anonymous):

Ya I know. So sqrt(95) is a rational number right?

OpenStudy (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.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

@mathmate

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