







A Problem with Logs. 
19971126 

Herman pose la question : Given log 24=a, log 25=b and log 26=c, express log 39 in terms of a, b and c. Penny Nom lui répond. 





Guess and Check 
19971125 

Don Ramey pose la question : Hope you can help !!!! my daughter is in the 4th grade.. she has brought home a homework paper and the subject is problem solving. she does not understand what is expected of her. I have tried to help, but I do not understand either. She is to use the Guess and check Strategy. Ben knows 100 of his neighbors by name. Ten are fish. The rest are frogs and turtles. He knows the names of twice as many turtles as frogs. How many turtles does he know by name.? Please help by explaining the guess and check strategy for a problem like this. Diane Hanson lui répond. 





Division by a fraction. 
19971121 

Roger Marchegiano pose la question : I am interested in a solution to the following extra credit problem for my son in Geometry. We have been unable to produce a satisfactory response: Show a geometric representation of the division of fractions algorithm, (When you divide fractions you multiply the numerator by the reciprocal of the denominator). Penny Nom lui répond. 





A geometry problem 
19971120 

Herman pose la question : When produced, two equal chords AB and CD of a circle meet at P in an angle of 24 degrees. If H is the midpoint of AB and K is the midpoint of CD, calculate the size of angle HKD. Penny Nom lui répond. 





Driving me CRAZY. 
19971117 

Billy Tran pose la question : Write a two digit number (both digits different and neither equal to zero) and then express the same number but now composed of the same two digits in reverse order with some mathematical symbol (+, , *, /, roots, !, or exponents). for example: 25 = 5^2. Now give me another. Hope you get this, cause its driving me CRAZY Penny Nom lui répond. 





Octants 
19971110 

Jason Watkins pose la question : I know which octant is octant 1 because all variables are positive. How do we number the other octants? Harley Weston lui répond. 





Negative Primes. 
19971110 

Leah Zucker and Paul Michael pose la question : I have received the following question via email from my granddaughter: "Can negative numbers (like 7) be prime? If not, why not?" Chris Fisher lui répond. 





Multiplying imaginary numbers. 
19971103 

Jim Catton pose la question : Here is the question: (square root 2) x (square root 8) My algebra suggests two possibilities . . .
Walter Whiteley, Chris Fisfer and Harley Weston lui répond. 





Pi 
19971031 

Ryan McKinnon pose la question : What Is Pi? Chris Fisher lui répond. 





Roman Numerals 
19971031 

Mark Curts pose la question : I am looking for some resources for teaching Roman Numerals. I would like to expand upon the basic concepts, by locating some addition, subtraction, multiplication or division problems written with Roman Numerals.  Mark Curts Chris Fisher lui répond. 





Some Calculus Problems. 
19971030 

Roger Hung pose la question :
 What real number exceeds its square by the greatest possible amount?
 The sum of two numbers is k. show that the sum of their squares is at least 1/2 k^2.
 .
. . Penny Nom lui répond. 





Two Questions 
19971028 

Melissa Kelley pose la question : I would appreciate any help you could give me.  Why isn't 1 a prime number?
 How can the absolute value of a number be negative?
Penny Nom lui répond. 





Fractions 
19971020 

Rebecca Henry pose la question : When we add fractions, we find a common denominator and add the numerators When we multiply fractions, we simply multiply both numerators and denominators with no regard to commonality.  Why do we not have to find a common denominator when multiplying?
 Why do we multiply both numerators and denominators?
Chris Fisher lui répond. 





Diagramming Powers 
19971015 

David Fill pose la question : I am a teacher in Massachusettes. We have been diagramming numbers such as two to the third (a 3D cube). One of my students asked me how you would diagram two to the fourth. I have searched through all of my teachers books and cannot seem to find the answer to this question. Is there a way to diagram this? If there is, how would you do this? Your help would be greatly appreciated. Penny Nom lui répond. 





How many intersections? 
19971008 

James pose la question : (a) A collection of eight points, no three collinear. If lines are drawn between each pair of these points, how many points of intersection would there be? (b) what would your answer have been in part (a) if there had been n points to start with? Chris Fisher lui répond. 

