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TwiztTiez
 one year ago
Which number is irrational.
A. 0.14 sorry for not knowing math terms and such but there's a bar above the "14"
B. 1/3
C. pi 4
D. pi 6
TwiztTiez
 one year ago
Which number is irrational. A. 0.14 sorry for not knowing math terms and such but there's a bar above the "14" B. 1/3 C. pi 4 D. pi 6

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mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Do you know what is an irrational number?

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0Isn't it a number that can be put in decimal form or percentage form?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1In mathematics, many of the questions can be answered correctly if we know the definition of the terms. If we do not know what the terms mean, the question will appear difficult. So the first step is to understand the meaning of the terms. From wiki: "a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero." " an irrational number is any real number that cannot be expressed as a ratio of integers. Irrational numbers cannot be represented as terminating or repeating decimals."

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Are the terms clear to you now?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1For example: (not the same as the first option) 0.14 = 14/100 =7/50, so it can be expressed as a fraction. is it rational?

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0So a number that can become a Fraction or a decimal correct?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Now the number 0.13333333333... is called a repeting decimal. It can be converted to a fraction as 2/15

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1All repeting decimals can be converted to a fraction.

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0So we're looking for a number that can't be turned into a fraction right?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Right! If you need further help, let me know.

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0Option C and D were supposed to be 4 to the fourth and 6 to the fourth

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I knew there was a typo! So are you all good now?

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0Yes I think it would be D I don't know if I'm correct though

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1To avoid communication errors, please give me the answer and not the letter.

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0You said that repeating decimals can be turned into fractions and A and B are both repeating

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0And 4 to the fourth is 2

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well pi is irrational.... so dividing it by anything results in an irrational number.

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.04 and 6 are supposed to be put to the fourth

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1that's ok... I think there are 2 irrational numbers in your answer choices... they both involve pi...

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0Yeah as I said C and D aren't supposed to have Pi

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0They're supposed to be put to the fourth

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1can you use the draw function to write them

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0\[\sqrt{4} \sqrt{6}\]

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1I'll let @mathmate continue to answer this

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1@TwiztTiez Remember that all integers are rational, because 5 is the same as 5/1, so it can be represented by a fraction. So the 4 choices are: 1.44444444..... (or 1.4 with a rep. dec. bar) 1/3 4^6 6^6 ? That's why I prefer dealing with the actual numbers, not the choice letters.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1or rather 1.44444444..... (or 1.4 with a rep. dec. bar) 1/3 4^6 \(\sqrt4 \sqrt6\) which is the same as \(\sqrt{24}\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Which one of these can you NOT represent by a fraction?

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0I didn't mean for it to look like they were supposed to multiplied sorry

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1That's ok, the multiplication is understood. I just used the law of exponents to simplify it.

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0Well \[\sqrt{4} =2\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1For your information 1.4444444... equals 13/9.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Very good start, continue! So \(\sqrt{4}\sqrt6=2\sqrt{6}\) can you go further?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1I'll put it this way, can you represent \(\sqrt6\) by a fraction?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1...mathematically exactly?

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0\[2\sqrt{6}=4.8989794...\]

mathmate
 one year ago
Best ResponseYou've already chosen the best response.12.449489742783178.... and this is not exact.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.14.898979485566356... and this is not exact.

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0Well how can I make it exact? Is there a way or am I just being oblivious?

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0And I don't mean that rudely

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0Sorry if it came off that way

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Well, there is no way to represent a square root in decimal form unless it is a perfect square. What does that mean (in the context of this question)?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.14.89897948556635619639456814941178278393189496131334025686539... and this is still not exact!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1yes, sqrt(4) is rational.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1It can be proved mathematically that square root of a number (such as 2, 3, 5,6,...) is not rational unless the number is a perfect square (1,4,9,16,25....)

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0So no I don't think so

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1You can read more about it (and it is interesting reading for general information) at, for example, Wiki: http://en.wikipedia.org/wiki/Irrational_number or http://www.purplemath.com/modules/numtypes.htm

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Correct, since sqrt(6) is not rational, so 2sqrt(6) is also not rational. Does that clear things up a little?

TwiztTiez
 one year ago
Best ResponseYou've already chosen the best response.0It does thanks for the help!

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Good, you're welcome! :)
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