







The next rational number 
20220114 

Sophia pose la question : what comes after 3 1/2? Penny Nom lui répond. 





Five rational numbers between 4 and 3 
20200728 

Priyanshi pose la question : Five rational numbers between 4 and 3 Penny Nom lui répond. 





Nonrepeating decimals 
20181228 

Grace pose la question : What is non repeating decimal Penny Nom lui répond. 





An equation with rational coefficients 
20180526 

Anagh pose la question : If x and y are rational number and
(x+y) + (x  2y)√2 = 2x y + (xy1) √5
Then find the value of x and y. Penny Nom lui répond. 





The decimal form of a fraction 
20180112 

Tom pose la question : Prove that the decimal representation of the quotient of 2 integers must repeat (if it does not terminate). Penny Nom lui répond. 





Five rational numbers between 2 and 1 
20170531 

Prince pose la question : Five rational numbers between 2 and 1 Penny Nom lui répond. 





Rational numbers between 2 and 3 
20170408 

Medha pose la question : Find 12 rational numbers between2 and 3 Penny Nom lui répond. 





A rational number between 4 and 5 
20170103 

Anshika pose la question : Write rational number between 4 and 5 Penny Nom lui répond. 





An example of an irrational number 
20151022 

Allison pose la question : It ask me to find an example of an irrational number less than 5 and I don't
understand what the difference from a rational number and an irrational
number besides the fact that a rational number can be repeated and shown in
a simple fraction and an irrational number can't be written in a simple
fraction.
Can you help me? Penny Nom lui répond. 





2.236... 
20151013 

Ann pose la question : 2.236...
What is the most specific category of numbers does this fall into? Rational or Irrational? Does the .... mean that it repeats? Harley Weston lui répond. 





Square roots 
20150921 

mariana pose la question : I have read various articles on how to find the square root of irrational numbers and every article out there seems to be very confusing.
i read you answer to LUKOW about irrational numbers and i am still quite confused. Say i want to find the square root of 326. i know that it is between 18 and 19 because 18 is the square root of 324 and 19 is the square root of 361 im just very confused about the rest of the process. Please help! ( if possible i would appreciate two examples. thanks) Penny Nom lui répond. 





Is 22/7 is an irrational number? 
20150607 

Sayak pose la question : Is 22/7 is an irrational number Penny Nom lui répond. 





A rational number 
20110517 

owais pose la question : according to definition of irrational number "a number which cannot be
expressed in p/q form is called irrational number"
square root of 2 is a irrational number but if i round off the digit correct
to two decimal places so it becomes 1.41 and we can easily convert
into p/q form so it is a rational number ??? Penny Nom lui répond. 





1.2731568 
20100616 

angel pose la question : is 1.2731568 a natural number a whole number a irrational number or a inter Robert Dawson lui répond. 





Rational numbers 
20080716 

hinal pose la question : list 12 rational numbers which lie between
a) 1 and 0
b) 3 and 3 Penny Nom lui répond. 





Is this an irrational number? 
20080322 

Tom pose la question : Is it possible to build an irrational number with numbers that are just 1's and 2's where only finitely many 2's appear? If so, how do we build it and how do we know it is irrational? Penny Nom lui répond. 





What is a rational number between 5.9 and 6? 
20071106 

cathy pose la question : What is the rational number between 5.9 and 6? Penny Nom lui répond. 





A fraction that cannot be simplified 
20070917 

Kevin pose la question : Make a fraction that cannot be simplified and has 24 as its denominator? Stephen La Rocque and Chris Langdon lui répond. 





Repeating decimals and rational numbers 
20070531 

lil pose la question : Why are repeating decimals considered rational numbers? Penny Nom and Gabriel Potter lui répond. 





Positive rational numbers 
20070522 

Rebecca pose la question : What is the definition of positive rationals/positive rational numbers? Stephen La Rocque lui répond. 





The sum of two rational numbers 
20070404 

Fathia pose la question : Hi,
Could please help me with this question?
Prove that if a and b are rational numbers then a + b is a rational number.
Thank you, Stephen La Rocque lui répond. 





Converting rational numbers 
20050807 

Joe pose la question :
I am helping my son with his converting rational
numbers in the form of A/B where A and B are integers and
B not equal to zero
I think I am doing this right but I am not sure so
below are the problems and our answers are beside
them, please let me know if these answerers are correct
Penny Nom lui répond. 





The square root of 2 
20020305 

Roger pose la question : Does two (2) have a square root or do the numbers just keep going? Are there any other numbers that behave like two when it comes to extracting the square root? Penny Nom lui répond. 





Some irrational numbers 
20010703 

Kellie pose la question :
 Is it possible to write pi as a fraction?
 Is it possible to write the square root of 2 as a fraction.. Explain why?
Harley Weston lui répond. 





Cube roots on a calculator 
20010324 

Will pose la question : Hi my name is Will.I have a question about the calculator TI83 Plus or the use of a scientific calculator. It is about using them to turn a cubed root to a decimal. When using that for a rational and irrational number. Rational numbers is a number that terminates or repeates. A irrational number goes on and on and uses ... (like pie). Like when you type the cube root of 8 it gives you 2, and that is a rational number. The squre root of 2 is 1.41421356... that is irrational. So why is it when you put the cube root of 16 in the calculator it says 2.5198421 that is rational it terminates at the ninth digit and my float is set for the tenth? But why when you do it by hand you get the 2 times the cube root of 2 and that is irrational? Why is that? Judi McDonald lui répond. 





More repeating decimals 
20010117 

Alan pose la question : I am neither a math teacher nor a student, but I hope you will consider my question anyway. I recently was discussing repeated decimals with a friend, and went on the web to find out more about a pattern was looking for years ago. In doing so I came upon your correspondence on repeating decimals. . . . Chris Fisher and Penny Nom lui répond. 





Repeating decimals 
20001006 

Mary O'Sullivan pose la question : I understand that with repeating decimals (those with a pattern), the number of digits repeated is put into fraction form with the same number of 9's ex. 0.4444 = 4/9 0.145145145 = 145/999 How can I explain why this is so? Some inquisitive 8th graders are anxious to find out! Penny Nom and Walter Whiteley lui répond. 





Rational Numbers 
20000914 

Josh Kuhar pose la question : How can you tell a number is rational? Harley Weston lui répond. 





The square root of two is never supposed to end 
19990306 

a wondering student pose la question : i am algebra II and am in the 9th grade. today we were talking about rational and irrational numbers. When we were talking about square roots my friend and i were talking and we thought of something. if you have a square with sides of length one then the diagonal of the square is the square root of 2. Now the square root of two is never supposed to end. But the diagonal of the square ends so therefore doesn't the square root of 2 end. our math teacher did not really answer our question because it was not in the lesson plan and not to many people would see where we were coming from. the answer is really bugging me and i would like to have your input. Jack LeSage and Penny Nom lui répond. 





6.99999... = ? 
19981205 

Tom pose la question : I have had a rather heated arguement with my students. Please settle this for me. Solve <,>, = 6.99999... __ 7 Thank you. Penny Nom lui répond. 





Adding Fractions 
19981015 

Lindsay pose la question : please help me!!!! Harley Weston lui répond. 





Rational and Irrational Numbers 
19980919 

Ri pose la question : I am trying to explain rational & irrational numbers to my niece who is grade 7 and am having difficulties. Could you please explain the difference between rational & irrational numbers. Thank you Ri Penny Nom lui répond. 





Rational Numbers 
19980905 

Kristin Mckenzie pose la question : Iam a secondary student with a math question I don't know how to do. This is the question: Explain whether each decimal number represents a rational number. (a) 0.16 (b) 0.12 (c) 3.125 (d) 0.27 (e) 0,212 112 111 2 .... (f) 0. 457 92 If it wouldn't be a problem i would really appreciate it if you sent back the instructions on how to do the question. My name is Kristin Mckenzie and my return email is lexus1999@hotmail.com Thankyou for you time Jack LeSage and Harley Weston lui répond. 





(2)^x 
19971212 

Ken Bokinac pose la question : During our math class last week we came accross an equation that we could not graph we were wondering if you could help us try and graph it. The question is: y=(2)^x Harley Weston lui répond. 





Repeating Decimals 
19970124 

Grant Reed pose la question : Is there a way to tell that the repeating decimal for 1/17 has no more than 16 repeating digits? Penny Nom lui répond. 

