







1 divided by 0 and infinity 
20111024 

ritika pose la question : we say that one divided by zero gives us infinity, then why zero multiplied by infinity does not gives us one????????????? Robert Dawson lui répond. 





Dividing a number which is greater than 1 by a number that is less than 1 
20100105 

Neda pose la question : when dividing a number which is greater than 1 by a number that is less than 1, will the quotient be greater than or less than the dividend? Explain. Robert Dawson and Penny Nom lui répond. 





Quotient 
20090914 

Jala pose la question : What is a quotient and what are the instructions for one? Penny Nom lui répond. 





Divisibility 
20090617 

Sophia pose la question : Hello
Please help my son with the solutions to the following:
a) Determine the remainder when 2^2009 + 1 is divided by 17;
b) Prove that 30^99 + 61^100 is divisible by 31;
c) It is known that numbers p and 8p^2+1 are primes. Find p.
Again, your assistance is greatly appreciated.
Thanks
Sophia Robert Dawson lui répond. 





The quotient of 5/8 divided by7/4 
20090525 

tammy pose la question : find the quotient of 5/8 divided by7/4 Stephen La Rocque lui répond. 





Subdividing a foursided lot 
20090327 

kannan pose la question : i have a 1.5 acre land having four sides
AB=64.8 meters
BC=94.2 meters
CD=54.4 meters
DA=127.2 meters
angle at D is 90
the side AB (frontage)is road facing i want to split the plot in to two halves
having same almost area and almost equal frontage, kindly help me, if possible
explain with drawing.
Regards
Kannan Harley Weston lui répond. 





How do I divide with a decimal is the divisor? 
20090315 

Shelly pose la question : How do I divide with a decimal is the DIVISOR ( NOT divsor AND dividend.) ? Also, How do I know when to stop dividing?
P.s. please use long division Penny Nom lui répond. 





A bay window 
20081030 

Scott pose la question : Given the length of an arc, the rise of an arc, and the number of segments
that I need to divide the arc into  how do I determine the length of each
segment? Imagine a bay window. It could have 5 side or 7 sides, just as
an example. How do I determine the width of each window given that the
unit will be mounted into a frame with a 96 inch opening. The rise of the
unit will extend out 18 inches. Lets say that the number of single windows
unit within the unit is 5. How wide should each window be? Do you
understand? Harley Weston lui répond. 





Subdividing a chord 
20080818 

austin pose la question : Here is my question. Imagine I have a circle of known radius 25 feet, and a
chord with a mid point height of 6 inches from a central point on the chord
to the circumference of the circle. I wish to divide this chord into a
number of equal divisions. How can I calculate the measurement of the
perpendicular line at each division of the chord to the circumference and at
a 90 degrees at each division Penny Nom lui répond. 





Why can't you divide by zero? 
20080804 

Donna pose la question : Why can't you divide by zero? Chris Fisher lui répond. 





Zero divided by infinity 
20080503 

ANNE pose la question : There was a question about what do you get when you divide Zero by infinity. There was an example using Potatoes. Could someone please explain a little bit more in detail, so that I can help my son who has Schizophrenia understand. He is big into Mathematics and is consumed by this question.
Thankyou so much,
Anne Penny Nom lui répond. 





Four cookies 
20080503 

tashera pose la question : if a serving is 5 cookies. how many servings can i make from 4 cookies? Stephen La Rocque lui répond. 





The sign of the quotient of two integers 
20080201 

michelle pose la question : without actually dividing, how can you decide whether the quotient of two integers is A. positive B. negative C. 0? Penny Nom lui répond. 





Dividing a circle 
20071123 

matt pose la question : hi. can you please send me a diagram of how to draw 3 lines in a circle to get 8 sections. Stephen La Rocque lui répond. 





Subdividing a property into half acre parcels 
20070731 

Pamela pose la question : We need to divide a large property with five sides and strange angles into 1/2 acre parcels from the top down. We want to know where along the eastern and western borders of the large property to make the divisions. Stephen La Rocque lui répond. 





The quotient of 50 and a number is 2. 
20060817 

Thomas pose la question : The quotient of 50 and a number is 2. Is 2 the quotient , 50 the dividend and 25 the divisor? Stephen La Rocque lui répond. 





What is 2/3 divided by 5? 
20060511 

KH pose la question : What is 2/3 divided by 5? Penny Nom lui répond. 





Can one divide a circle into 4.5 parts 
20060330 

Chris pose la question : If it is possible, can one divide a circle into say, 4.5 parts (with 4 equal parts and a half part)?
Or for that matter, for any integer, n, into n/2 parts as above?] Walter Whiteley lui répond. 





How much will each piece weigh? 
20060128 

Matt pose la question :
How many equal pieces that weigh between 12 and 13 ounces can be made from 110 ounce block if the whole block is used? How much will each piece weigh?
A paper square has area of 100 in^{2}. Into how many pieces of equal area must the square be but if the area of each piece is to be between 8 in^{2} and 9 in^{2}? What is area of piece?
Penny Nom lui répond. 





Subdividing a polygon into triangles 
20060126 

Adam pose la question : is there an algorithm to divide a regular polygon into N
equilateral triangles having the same area (no limit on N), or if not, an
algorithm to divide a regular polygon into N triangles having the same shape
and size? Chris Fisher lui répond. 





111111...111 divided by 3 
20051114 

Jesus pose la question : If we divide the number 1111...........1( it has got 2004 digits) by 3. How many zeros will we get?. The answer that I have found in the book is 667 but I do not know how to reached it. Penny Nom lui répond. 





120 divided by 15 
20051109 

Joshua pose la question : how do you evaluate 120 divided by (15) Penny Nom lui répond. 





Divide a circle into eleven parts 
20051107 

Dean pose la question : I would like to know how to divide a circle into eleven parts using only four lines. Claude Tardif lui répond. 





An integer x when divided by 5 leaves the remainder 3. 
20050618 

A teacher pose la question : An integer x when divided by 5 leaves the remainder 3. Prove that when 4x is divided by 5, 2 is the remainder Penny Nom lui répond. 





When dividing a 3digit number by a 1digit number... 
20050122 

A student pose la question : When dividing a 3digit number by a 1digit number, for what divisors can you get a remainder of 8? Penny Nom lui répond. 





Divisibility by 15 
20041219 

Lisa pose la question : My son was asked to find divisiblity rules for 15. We have been unable to find the answer. Does it exist? Leeanne Boehm and Denis Hanson lui répond. 





Driving me crazy 
20040918 

Jerry pose la question : This is driving me crazy!!! Someone told me of a number that can be divided EQUALLY by each of the following individual numbers: 1,2,3,4,5,6,7,8,9. what is that number? Penny lui répond. 





A division symbol 
20040818 

William pose la question : i was wondering what the mathematical name for this division sign (÷). Penny Nom lui répond. 





39 consecutive natural numbers 
20030819 

A student pose la question : Prove that among any 39 consecutive natural numbers it is always possible to find one whose sum of digits is divisible by 11. Penny Nom lui répond. 





Divide a circle in 8 equal pieces 
20030404 

Naomi pose la question : I have to divide a circle in 8 equal pieces but can only cut 3 times can you please help me Penny Nom lui répond. 





Division names 
20030310 

A parent pose la question : what is the answer to a division problem called Penny Nom lui répond. 





Division by zero 
20030119 

David pose la question : I've been to your site and am interested on the subject of division by 0. It's easy enough to give answers, but it's very hard, especially in this case, to make someone understand a mathematical problem. It's been about a year since my Calc class, and we never went over division by 0, only infinite numbers and such. My question is: How would you work a problem of (real number) / 0 ? As ignorant as it may sound to you, I am having trouble grasping this since I've only begun to understand some of it. Perhaps you could help. Harley Weston lui répond. 





abc,abc 
20021120 

Pam pose la question : Prove or disprove that "every number of the form abc,abc (where a, b, and c represent digits) is divisible by 7,11, and 13" Penny Nom lui répond. 





Why is 5 divided by 1/7 greater than 5 divided by 2/3? 
20021119 

Elizabeth pose la question :
 Without performing the division, explain why 5 divided by 1/7 is a number greater than 5 divided by 2/3.
 Is the least common multiple of two prime numbers always their product? Why or why not?
Diane Hanson and Penny Nom lui répond. 





For what divisors can you get a remainder of 8? 
20021113 

David pose la question : When dividing a 3digit number by a 1digit number, for what divisors can you get a remainder of 8? Penny Nom lui répond. 





Subdividing a circle 
20021111 

David pose la question : Say you have a cirlcle. Then you draw 2 dots on the circle. Then you connect the dots with lines. The circle is divided into 2 parts. If you do the same with 3 dots and connect each dot to each dot with a line then you get a circle with 4 parts. 4 dots with lines connecting all (6 lines) = 8 parts.... Claude Tardif lui répond. 





Two problems 
20021014 

Eva pose la question :
a) How many different equivalence relations can be defined on the set X={a,b,c,d}? b)Show that 6 divides the product of any 3 consecutive integers. I know it is true that 6 divides the product of any 3 consecutive integers. However, i have problem showing the proof. Leeanne Boehm and Penny Nom lui répond. 





Dividing fractions 
20020923 

Angie pose la question : When I was taught to divide a fraction, I was told to multiply the reciprocal. Many times I find I can just divide the fraction, and it saves all the simplifying after. For example, 4/6 x 9/14 divided by 2/4 I would say 4x9divided by 2=18 over 6x14divided by 4 =21, so the answer is 18/21 but if I multiply the reciprocal, I would end up with 4x9x4 over 6x14x2 which equals 144/168. So, why are we taught to do it this way? Is it necessary? Chris Fisher lui répond. 





Divisibility of 5^{ 2002} 
20020825 

Simon pose la question : I need to ask you a question if 5^{ 2002} and 3^{ 2002} are divisible by 26. Penny Nom lui répond. 





0/4 = ? 
20020428 

Danielle pose la question : I am embarrased to be asking this question, but... is it possible to have a fraction with a zero? For example, 0/4. This does not make sense to me and I do not know what it would be representing, other than nothing! Is it proper to express such a fraction? Peny Nom lui répond. 





Dividing a circle 
20011017 

Ahmeen pose la question : I am having a hard time figuring out how a circle can be divided into 11 equal parts with only 4 cut allowed? My teacher gave this to us and I still can't cut my pie into eleven equal parts with only four cuts. Walter Whiteley lui répond. 





Divisibility rules 
20010907 

A student pose la question : Why is it that when you add the digits of a number you can tell what the multiples of that number are. Example: 12131313111,
1+2+1+2+1+3+1+1+1=18,
therefore 12131313111 is divisble by 2, 9, 18, & 3 because those numbers are divisble by 18. Penny Nom lui répond. 





Why exactly can't you divide fractions? 
20010322 

Dennis pose la question : Why exactly can't you divide fractions? Penny Nom lui répond. 





Divisibility by 16 
20001212 

Shiling pose la question : A number can be divided by 16 if and only if its 1st four digits can be divided by 16. How can you prove that? Penny Nom lui répond. 





Dividing with decimals 
20001115 

Alex pose la question : I teach math and my class and I were discussing the dividing of decimals. I explained that if there is a decimal in the divisor, it needs to be moved and so does the decimal in the dividend. My question is why is it necessary to move the decimal point in the divisor before dividing? Penny Nom lui répond. 





Dividing fractions 
20001018 

Paula pose la question : Why do you have to change the division sign to a multiplication sign and invert the fraction that follows the division sign in order to get the answer to a division problem when you're working with fractions? Penny Nom lui répond. 





Why does division start from the left? 
20000524 

Salil Dave pose la question : Addition, subtraction and multiplications start with right most digit and proceed left, but division starts from leftmost digits and goes right ... why? Harley Weston lui répond. 





Division 
20000326 

Kelly Allen pose la question : My 8 year old daughter had 12 bracelets which she arranged into 4 piles of 3. Did she divide 12 by 3 or by 4? Most people I've asked can only offer an opinion. What I'm looking for is a definitive answer, if there is one. My husband says the number of sets is the answer: 12 divided by 3 = 4 Most others I've asked said that the amount in each set is the answer: 12 divided by 4 = 3 Harley Weston lui répond. 





Division 
20000316 

Charday pose la question : What is the easiest way to calculate the least number that can be divided evenly by all the numbers from 1 to 10. Penny Nom lui répond. 





Factors 
20000215 

Guy Rayfield pose la question : Please can you tell me the factors of 6 I think the answer is 2 and 3  am I right? Penny Nom lui répond. 





How many 3/5 are in 3/4? 
19991206 

Whiteny pose la question : How many 3/5 are in 3/4? Penny Nom lui répond. 





Division/Fractions 
19991106 

Azmat Hussain pose la question : Is there a way to explain division by fractions using patterns? For example 3 divided by one half. Chris Fisher and Penny Nom lui répond. 





Division by zero 
19990902 

Joshua B. Mariano pose la question : Why can't I divide a number by zero. When I put in my calculater 0 divided by 7 it equals 0. But when I put 7 divided by zero my calculater say's error. Why can't this be solved? What is the answer? Is there a paper on it? Help? Walter Whiteley lui répond. 





Invert and multiply 
19990828 

Debbie Walter pose la question : I have another question please, WHY do we invert and multiply when dividing fractions? I know that's what we do but WHY? What is the reasoning behind it? Penny Nom lui répond. 





Division by a negative 
19990819 

Sangeeta B. pose la question : 56/8 Penny Nom lui répond. 





Dividing a Circle 
19990412 

Mike Kenedy pose la question : I am having trouble with a homework question for bonus marks. A Circle is continually divided by lines that do not intersect the center so that they produce the most pieces of circle. For example  1 line divides the circle into 2.
 2 into 4.
 3, however into 7.
 4 into11
 5 into 16
 6 into 22
 7 into 29
 8 into 37
 etc...
I am stumped and cannot figure out the equation, though I'm sure it involves squares. Can you help? Penny Nom lui répond. 





Tshirts 
19990404 

Valerie pose la question : At a discount Tshirt shop the manager marked a special batch of Tshirts that originally sold for $2.00. When all the shirts sold the shop had collected $603.77. How many shirts did they sell and what was the price per shirt? Jack LeSage and Penny Nom lui répond. 





Finding Excluded Values 
19990401 

Lorraine Le Cam pose la question : The question asks me to find the value of the variable that must be excluded in each rational expressionion. The operation is: a ______ a  2 How do I work this out? Harley Weston lui répond. 





0/11 
19990309 

Jacob pose la question : What is the term applied to 0 divided by a number. In calculating slope problem my answer was 0 divided by 11. I don't know what to do with this answer or how to interpret it. Jack LeSage and Penny Nom lui répond. 





Quotients 
19990225 

Brian Healey pose la question : what is a quotient? what is a divisor? what is a divident? Jack LeSage lui répond.






Dividing Decimals 
19990206 

Melanie Campbell pose la question : i ugently need to know how to divide a decimal by a decimal eg:6.0 divided by 2.4 i need to show all working on a basic skills exam please help!!!! mel Jack LeSage lui répond. 





Turning Fractions into Decimals 
19990116 

Lynn pose la question : How do you do it step by step Jack LeSage lui répond. 





Pick any odd number, square it, and then divide it by 8 
19981127 

Brenda Meagher pose la question : Pick any odd number, square it, and then divide it by 8. No matter what odd number is chosen and squared and divided by 8, the remainder is one. Could you please explain this to me or is there a pattern that I am not aware Harley Weston lui répond. 





Fraction division 
19981118 

Brett Darrough pose la question : I am needing specific examples that illustrate division of fractions with Indepth understanding. I am enrolled in a CGI (cognitivly guided instruction) course which is trying to develop a method of teaching fraction division with understanding. Most people invert and multiply to obtain a correct answer. Why? I would like help in understanding this method that includes pictures and algorithms that illustrate reasoning and depend on understanding. Jack LeSage and Harley Weston lui répond. 





Divisibility by 11 
19981028 

Pat Duggleby pose la question : I am an upgrading instructor at a dropin program in Regina. One of my students is taking General Math 30 through correspondence, and we have run into some confusing instructions. The section is about divisibility rules, and we did just fine up until the rule for Divisibility by 11. The statement is as follows:  If the difference between the sum of the oddnumbered digits and the sum of the evennumbered digits, counted from right to left, is divisible by 11, then the number is divisible by 11.  . . . Penny Nom lui répond. 





A Place Value Curiosity 
19980525 

Ed pose la question : I was visiting with an elderly gentleman this afternoon. He showed me this curiosity and then asked if I could explain it to him. Can you provide an explanation of why the 9 or multiple of 9 keeps occurring in this procedure? Choose any number, say 125 and add the digits to get 8. subtract the 8 from the 125 and the result is 117. Add the digits in 117 to get 9. Subtract the 9 from the 117 to get 108. Add the digits in 108 to get 9. If this procedure continues a 9 or a multiple of 9 reoccurs. What is the mathematical explanation behind this happening? Denis Hanson lui répond. 





The Largest Factor 
19980315 

Senthuran Nadarajah pose la question : When each expression is evaluated for different values of n, the answers will differ. For each expression, find largest natural number that will divide the result for all natural number values of n. n^5  5n^3 + 4n Harley Weston 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. 





Division by zero 
19970214 

Linda Hood pose la question : I am a college student and have been asked to explain and figure out why we can't divide by zero. Chris Fisher lui répond. 





Priority of operations 
19961104 

Wallace pose la question : What is the answer to this problem? Let x=2 and y=3. Evaluate 12x / 2y (if the old division sign is used). Chris Fisher lui répond. 





Divisibility of 2n choose n. 
19960924 

Kathy Doan pose la question : Can you prove that "2n choose n" is not divisible by 3, 5, and 7 for infinitely many n? Penny Nom lui répond. 

