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Mathematics 16 Online
OpenStudy (kylexchaos):

Will Medal and Fan! Which numbers are rational or irrational below? 1. √9 2. √3 3. 3.14 4. 0.25 5. 5

OpenStudy (will.h):

what do you know about rational numbers and or irrationals

OpenStudy (kylexchaos):

@Will.H I know it can be written as a decimal.

OpenStudy (kylexchaos):

@Will.H I mean, fraction.

OpenStudy (will.h):

okay which of these you think are rational?

OpenStudy (will.h):

@Kevin can you help him i have to go

OpenStudy (kevin):

for an easy --> irrational is any number which cannot be written as fraction, so usually irrational number is the square root of prime number rational is a number that is not irrational

OpenStudy (kevin):

Do you understand? :)

OpenStudy (will.h):

Thanks Kevin

OpenStudy (kevin):

You're welcome Will :D

OpenStudy (kylexchaos):

I think they're all rational @Kevin @Will.H

OpenStudy (kevin):

Why?

OpenStudy (kylexchaos):

9 is a natural number and an integer.

OpenStudy (will.h):

sqrt9 is equal to 3 how come this one is rational?

OpenStudy (kylexchaos):

They are all natural numbers and integers.

OpenStudy (kevin):

why √3 is rational?

OpenStudy (kylexchaos):

It's an integer

OpenStudy (kylexchaos):

It passes both tests on being a rational number.

OpenStudy (kylexchaos):

right?

OpenStudy (kevin):

it's not an integer. Do you know what is integer?

OpenStudy (kylexchaos):

it can be written as a fraction

OpenStudy (kevin):

Well, how you write √3 into fraction form?

OpenStudy (kylexchaos):

3 _ 1

OpenStudy (will.h):

when the denominator = 1 that doesn't count a fraction

OpenStudy (kylexchaos):

Oh, you're right because it cannot be expressed as a ratio of integers

OpenStudy (will.h):

exactly and because it cannot be represented in decimal notation like 2.4354

OpenStudy (kevin):

- all of integer is rational number - any number that we can turn into fraction a/b (with a and b is in integer form) is rational number 1. √9 = 3 (3 is an integer, It should be rational number) 2. √3 (3 is prime number, root of prime number must be irrational) 3. 3.14 = 314/100 ( we can rewrite it into fraction, so it's rational) 4. 5 (5 is an integer, so it's rational)

OpenStudy (kylexchaos):

so then I got everything right except √3

OpenStudy (kylexchaos):

Thanks for the help !

OpenStudy (kevin):

u're welcome :)

OpenStudy (will.h):

no sqrt9 is not rational tho

OpenStudy (will.h):

number 1 and 2 are irrational the rest are rational

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