Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

i need help :( i will medal and fan http://uploadpie.com/rxx5R <---- the problem

Mehek (mehek14):

your thoughts?

OpenStudy (mahmood786123):

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.

OpenStudy (anonymous):

mines are a b b a

OpenStudy (mahmood786123):

irrational number in Technology Expand. mathematics. A real number which is not a rational number, i.e. it is not the ratio of two integers. The decimal expansion of an irrational is infinite but does not end in an infinite repeating sequence of digits.

OpenStudy (anonymous):

so... am i right?

OpenStudy (anonymous):

waaaait now im thinking its aaab

OpenStudy (mahmood786123):

I have to go sorry hope the explanations help

OpenStudy (anonymous):

@Here_to_Help15

OpenStudy (anonymous):

@SolomonZelman

OpenStudy (anonymous):

@rational

OpenStudy (anonymous):

@mathmate

OpenStudy (anonymous):

@Majesty69

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

@dan815 @perl @Preetha

OpenStudy (anonymous):

@Megan30400

OpenStudy (anonymous):

@meme106

OpenStudy (mathmate):

Have you finished reading what @Mahmood786123 wrote? @linastar13

OpenStudy (anonymous):

yea but im still confused

OpenStudy (mathmate):

Where are you confused?

OpenStudy (mathmate):

I mean which part?

OpenStudy (anonymous):

um well not nececerly confused just im not sure my answers are rigt :(

OpenStudy (anonymous):

*right

OpenStudy (mathmate):

What's important is whether you understand, the answers will then come automatically. This question is what I call the "definition" question. All you need to know to answer is - what is a rational number, and - what is an irrational number. Did you get that from what @Mahmood786123 wrote?

OpenStudy (anonymous):

yea

OpenStudy (mathmate):

So is \(\sqrt 7\) a rational number?

OpenStudy (anonymous):

no

OpenStudy (mathmate):

How about 16.25

OpenStudy (anonymous):

yea

OpenStudy (mathmate):

good! How about \(\pi\)?

OpenStudy (anonymous):

nope :)

OpenStudy (mathmate):

Why?

OpenStudy (anonymous):

cause ...well um to tell the truth i dont know y but i read it on my math book that the nomber 3.14 is irational

OpenStudy (mathmate):

Yes, I like your answer, it tells me where to go. ok, \(\pi=3.141592653589793238462643383279502884197169399375....\) The decimal part continues, and never repeats. So we cannot represent it by a fraction, so it is irrational.

OpenStudy (mathmate):

Now is \(\sqrt{84}\) rational?

OpenStudy (anonymous):

no

OpenStudy (mathmate):

note that \(\sqrt{84}=\sqrt{4*21}=2\sqrt{21}\) but we cannot simplify further.

OpenStudy (mathmate):

Correct, \(\sqrt{84}\) is irrational. How about \(\sqrt{81}\) ?

OpenStudy (anonymous):

irrational?

OpenStudy (mathmate):

Can you explain why, after you have tried to simplify it as much as you can. (see example above)

OpenStudy (anonymous):

um....ehhh well idk :( lol im not that smart

OpenStudy (mathmate):

Math is hard work, and does not depend on smartness. Unfortunately those who \(depend\) on smartness will soon drop out if they don't work hard.

OpenStudy (anonymous):

:D lol yaass i know :( but i try and 30% of the time i get it wrong

OpenStudy (mathmate):

I'll give you an example: \(\sqrt{16}\) = \(\sqrt{(4^2}\) = \(\sqrt{4})^2\) = 4 Study it carefully to make sure you understand how it works. If it's not clear, let me know.

OpenStudy (mathmate):

I messed it up, it should read: \(\sqrt{16}\)= \(\sqrt{4^2}\) = \((\sqrt{4})^2\) = 4

OpenStudy (anonymous):

kk so i got 81= 9*9= 4?

OpenStudy (mathmate):

first part is ok, 81=9*9=9^2 so sqrt(81)=9 (does not equal 4) So is sqrt(81) a rational number? (ask yourself "can I express 4 as a fraction?" )

OpenStudy (anonymous):

no?

OpenStudy (mathmate):

(ask yourself "can I express 9 as a fraction?" ) The answer is yes, because 9=9/1=18/2=27/3.... in multiple ways!

OpenStudy (mathmate):

So is sqrt(81) rational or is it irrational ? (remember to use the definition of ration numbers, as explained earlier)

OpenStudy (anonymous):

ooooh ok :)

OpenStudy (anonymous):

its rational?

OpenStudy (mathmate):

Correct, but why?

OpenStudy (anonymous):

because you can express your answer

OpenStudy (mathmate):

... can you complete you sentence please?

OpenStudy (anonymous):

that is my sentence lol!!!!

OpenStudy (mathmate):

because you can express the number in terms of a fraction (for rational numbers) I think you're getting there. Try to figure out the 3rd and 4th one, and tag me when you get your answer (complete with explanations).

OpenStudy (anonymous):

i got b and a for the next two ones @mathmate

OpenStudy (mathmate):

Explain, please

OpenStudy (anonymous):

well for the first one i got b as irrational cause i cant ration any nombers with 128

OpenStudy (anonymous):

and for the second one 400=10*40 ? is that correct?

OpenStudy (anonymous):

@mathmate

OpenStudy (mathmate):

10*40 is not. but 400=20^2, so sqrt(400)=20 and it is rational. b and a are correct then!

OpenStudy (anonymous):

yea!!! :) tanks buddy

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!