







Long division with decimals 
20170616 

From Kenneth: Hello:
Why is it recommended to move the decimal from a divisor when dividing so that the divisor is a whole number?
I know how to divide by moving the decimal from the divisor, but I cannot explain the reason.
I thank you for your reply. Answered by Penny Nom. 





Cutting a wire into 18 cm lengths 
20161229 

From Shambhavi: A long wire of some length is cut into small pieces of 216 cm leaves a small piece of length of 89 cm of this part were cut into equal pieces each of 18 cm the length of the left over wire would be Answered by Penny Nom. 





Divisibility of 3n^5+7n 
20161214 

From Parag:
Question from Parag, a student:
if n is a natural number,then 3n^5+7n is divisible by
a)2
b)3
c)5
d)7
i got the answer but still i need a valid alternate approach. Answered by Penny Nom. 





The remainder theorem 
20160327 

From Pratyasha: A quadratic polynomial when divide by x+2 leaves a remainder of 1 and when divided by x1 leaves a remainder of 4. What will be the remainder if it is divided by (x+2)(x1)? Answered by Penny Nom. 





Polynomial division 
20160325 

From Ashley: (4x4+6x^3x^2)/(3x2)
The instructions say to "perform the division". Answered by Penny Nom. 





0/0 
20160214 

From Noni: Q. 0÷0=1 Why it is wrong when 4÷4=1; 3÷3=1; 2÷2=1: 1÷1=1 ? Answered by Penny Nom. 





Division base 5 
20160201 

From Jenalee: I am having problems with a dividing bases question. I reviewed two that I could find in the database and tried the question as shown but I am still getting the wrong answer.
My question is 32\24043 to the base of 5 for both. Answered by Penny Nom. 





Dividing by a fraction 
20151121 

From Jennifer:
Question from Jennifer, a student:
I want to know how to get the right answer for this math problem, dividing a fraction in to a whole number , example 3/8 using the whole number 6? Thanks Answered by Penny Nom. 





Division and units 
20150908 

From Kenneth: Hello:
Would there be a reason to divide a number without units by another number with units?
Here is an example:
35 divided by $5.00 or 35/$5.00
The answer cannot have units ($) because $5 X 7 does not equal 35 but instead $35.00.
$35.00 divided by 5 or ($35.00/5) and $35 divided by $5.00 or ($35.00/$5.00) make more sense.
I thank you for your reply. Answered by Robert Dawson. 





Repeated decimals 
20150509 

From Vir: Years ago I (re?)discovered 'cyclic division'. For example: if you arrange the number along a circle and put the number 142857 at the centre
all the numbers taken cyclically, starting with 1, are fully divisible by 37. Whatever the starting point of this number, it remains fully divisible by 37.
what is more, the number can be formed by taking the digits clockwise as well as anticlockwise..This I call "full cyclic divisibility". In many cases, only clockwise cyclic divisibility is possible. But I have not come across a case where ONLY anticlockwise divisibility occurs. Thus clockwise cyclic divisibility seems to be favoured. Could this be construed as a sign of chirality in mathematics?.. Answered by Chris Fisher. 





128/(16)/(2) 
20150128 

From jackie: 128/(16)/(2) I was wondering if you can show me how to work this question out Answered by Harley Weston. 





Remainder 
20141208 

From Muqadasah: A number, when divided by136, leaves remainder 36. If the same number is divided by 17, what will be the remainder? Answered by Penny Nom. 





A fact family containing 4, 4 and 16 
20141014 

From Leslie: I am helping my son and the question is 4,4,16 in fact family what does that mean Answered by Penny Nom. 





Division in base 3 
20140930 

From Nnubia: 1021 in base 3 divided by 2 in base 3 Answered by Penny Nom. 





A schedule for 2, 7 team divisions 
20130924 

From Sampson: I'm looking to set up a weekly schedule within a 22 week segment of 2 7 team divisions where every team plays every other team in their divison 3 times and have 4 cross over games with 4 of the other 7 teams in the other division. I've yet to figure this out.
Thanks for your time. Answered by Victoria West. 





Two polynomials are divisible by x  2 
20121226 

From Tehmas: Determine the values of m and n so that the polynomials 2x^3+mx^2+nx3 and x^33mx^2+2nx+4 are both divisible by x2. Answered by Penny Nom. 





Vector division 
20120828 

From Nazrul: If A and B be two vectors where B = 3 A The What is B/A ?
Please help me. Answered by Robert Dawson. 





Long division 
20120607 

From Emily: Simplify the expression using long division (9x^241x6)/(x4) Answered by Penny Nom. 





Division in base eleven 
20120527 

From Zoe: How do you divide numbers that are in base 11?
For example;
9A7A6A divided by A Answered by Penny Nom. 





The 10000th day of her life 
20120221 

From derrick: Ella was born early in the morning on a Friday.She got married on the 10000th day of her life. What day of the week was it? Answered by Penny Nom. 





1 divided by 0 and infinity 
20111024 

From ritika: we say that one divided by zero gives us infinity, then why zero multiplied by infinity does not gives us one????????????? Answered by Robert Dawson. 





A remainder of 3 
20101124 

From khodr: find the smallest number (>3) that , when divided by 6 , 8 , 15 , and 18 , gives a remainder of 3 . Answered by Robert Dawson. 





A division sentence for an array 
20101005 

From Laura: On a math test Grace needs to look at an array and write a division sentence for the array. Grace writes 18/3=6 on her answer sheet. Describe what the array on Graces test looks like. Answered by Penny Nom. 





11 trillion divided by 309,418,000 
20100605 

From Dion: I am struggling to calculate what 11 trillion divided by 309,418,000 is. Answered by Penny Nom. 





Counting by sevens 
20100413 

From Larry: Lee counted by 7's beginning with one of the whole numbers from 1 through 7, until Lee passed 1000. If Lee counted
three of the following numbers, which number did Lee NOT count?
a. 107
b. 184
c. 534
d. 641
Answered by Robert Dawson and Penny Nom. 





What is 8.6597 divided by two thirds? 
20100322 

From patsy: what is 8.6597 divided by two thirds Answered by Penny Nom. 





Repeating Decimal 
20100314 

From Gerald: Find the 1987th digit in the decimal equivalent to 1785/9999 starting from decimal point. Can you give us a short but powerful technique in solving this problem? thanks so much.. Answered by Chris Fisher. 





3x^33x3 and 3x+6 
20091104 

From spencer: My question is 3x^33x3 devided by 3x+6 Answered by Penny Nom. 





Quotient 
20090914 

From Jala: What is a quotient and what are the instructions for one? Answered by Penny Nom. 





The quotient of 5/8 divided by7/4 
20090525 

From tammy: find the quotient of 5/8 divided by7/4 Answered by Stephen La Rocque. 





Thirtytwo divided by 3 
20090402 

From Shelly: x = 32/3
x = 10 2/3 Divide 32 by 3: 32 / 3 = 10 R2.
What I don't get is why is it that 10 with a remainder of 2 ( 10 R2 ) equals 10 2/3? shouldn't it be 10 2/10 ????? Answered by Robert Dawson. 





Dividing by fractions 
20090325 

From Mitch: 2 divided by 2/3 = ?? Answered by Penny Nom. 





A 20 foot piece of pipe 
20090319 

From chris: How many 8 inch pieces can you get from a 20 ft. piece of pipe? Answered by Penny Nom. 





An array with 2 more rows than columns 
20090228 

From Mario: Write a division sentence modeled by an array that has 2 more rows than the number in each row. Answered by Penny Nom. 





What is one trillion divided by 10? 
20081209 

From mark: can you please tell me what one trillion divided by 10 is Answered by Robert Dawson and Penny Nom. 





Division in different bases 
20081202 

From MICHELLE: DIVIDE 538 BY 14 IN BASE 2, 3, 4 & 5 Answered by Penny. 





Dividing Large Numbers 
20081126 

From Mark: what is 7.9 trillion divided by 301 million? Answered by Janice Cotcher. 





A bay window 
20081030 

From Scott: 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? Answered by Harley Weston. 





A number that divides by six but not by three 
20080912 

From Ken: A number that divides by six but not by three Answered by Stephen La Rocque and Victoria West. 





Long Division with Decimals 
20080828 

From Ghita: I need help with these 2 questions:
Find the quotients:
52.576 divided by 21
71.331 divided by 93
Ralph spent 5/9 of an hour mixing paints and 7/9 of an hour painting.How much time in all did Ralph spend on his project?
Thank you,Please answer soon Answered by Janice Cotcher. 





Why can't you divide by zero? 
20080804 

From Donna: Why can't you divide by zero? Answered by Chris Fisher. 





What is the domain of (f/g)x? 
20080728 

From Warren: If f(x)=3x5 and g(x) = square root of x5, what is the domain of (f/g)x? Answered by Penny Nom. 





Polynomial division and remainders 
20080702 

From RAM: If the polynomial x46x3+16x225x+10 is divided by another polynomial x22x+k, the remainder
comes out to be x+a. Find k and a. Answered by Janet Cotcher and Harley Weston. 





4x^3  6x + 2 = 0 
20080528 

From paul: 4x^3  6x + 2 = 0 Answered by Janice Cotcher. 





Four cookies 
20080503 

From tashera: if a serving is 5 cookies. how many servings can i make from 4 cookies? Answered by Stephen La Rocque. 





Division by zero 
20080501 

From Bill: Why does multiplication have a favored status so as to make division by zero undefined? Answered by Harley Weston. 





Compatible numbers 
20080404 

From dawn: Need help. Estimate the quotient. Tell what compatible numbers you used.
817divided by 4 = Answered by Penny Nom. 





The sign of the quotient of two integers 
20080201 

From michelle: without actually dividing, how can you decide whether the quotient of two integers is A. positive B. negative C. 0? Answered by Penny Nom. 





Fact families with multiplication and division 
20080116 

From Donna: I am trying to help my granddaughter with some math homework. I
looked at what you have on fact families. Am I correct to assume that
the same process applies to multiplication and division as well? Her question
asks for fact families for 2, 8, & 16. Answered by Penny Nom. 





Explaining the factoring for the difference of cubes 
20080116 

From Bill: A student asked me where did the "difference of cubes" and "sum of cubes" come from. I did not have an answer for her. She is very bright and understands how they work but wanted to know where they derived from. Any help you can offer would be great. Thanks Answered by Stephen La Rocque. 





(303,000,000,000,303x3,300,000,033)/1,000,100,010,001 
20080113 

From Adrian: Give the result of the following computation as an integer.
(303,000,000,000,303x3,300,000,033)/1,000,100,010,001
N.B. No calculators allowed Answered by Penny Nom. 





(5C squared + 14C + 11) divided by (5C + 4) 
20070920 

From John: (5C squared + 14C + 11) divided by (5C + 4) Answered by Harley Weston. 





16x^2+4xy^2+8x divided by 4xy 
20070902 

From Ricardo: how can i solve that problem of polynomial division?
16x^2+4xy^2+8x divided by 4xy Answered by Penny Nom. 





Division by decimals 
20070815 

From Brooklyn: I am studying for an exam, and I will not be able to use a calculator. I can not figure out how to do division is the number on the outside of the box is a decimal. Ex: 2/6.3=X Can you please help me figure this out? Answered by Penny Nom. 





Subdividing a property into half acre parcels 
20070731 

From Pamela: 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. Answered by Stephen La Rocque. 





Simplifying a quartic rational expression using long division 
20070614 

From Megan: x+2/12x^4+17x^3+0x^2+8x40= Answered by Stephen La Rocque and Penny Nom. 





Synthetic division 
20070321 

From Edward: Hi there,
please, explain me synthetic division of polynomial functions.
for examp.: 3x3 + 2x2 +4 divide by x2 (number after variable x is the powre of x )
Thank you. Edward. Answered by Melanie Tyrer. 





What is the remainder when 3^2007 is divided by seven? 
20070218 

From Chris: What is the remainder when 3^2007 is divided by seven?? Answered by Leeanne Boehm. 





Multiplying and dividing by zero 
20070205 

From colin: i would like to if u multiply 1,000,000 by 0 does it equal o or 1.
if you have a number eg 15689 and you divide by o what would the answer be is it 1 Answered by Penny Nom. 





Who invented the division symbol? 
20061229 

From Alex: Who invented the division symbol? Answered by Penny Nom. 





What is 2/3 divided by 5? 
20060511 

From KH: What is 2/3 divided by 5? Answered by Penny Nom. 





Cutting a piece of PVC pipe 
20060503 

From Shonda: A plumber has a 10' piece of PVC pipe. How many 9/5 foot pieces can be cut from the 10' piece? Answered by Penny Nom. 





A fifth degree polynomial 
20060313 

From Forrest: When f(x) = x^{5}  3x^{4}  6x^{3} + 3ax^{2}  24 is divided by x^{2}  2 the remainder is bx.
Find the values of a and b.
Hence solve the equation f(x) = 8x Answered by Penny Nom. 





f(x) is a polynomial of degree 3. 
20060313 

From Meadow: f(x) is a polynomial of degree 3. It leaves a remainder of 10 and 4 when divided by
x + 1 and x  2 respectively. Given also that f(1) = f(2) = 0, find the remainder when
f(x) is divided by x  3. Answered by Penny Nom. 





1/infinity and 1/0 
20060304 

From Evan: I was thinking the other day when i was in math class that when you divide 1 by say n you'll get 1/n. As the value of n increases the smaller the number you get. So if you divide 1/infinity would that equal zero? And if that is true then would 1/0=infinity be true also? Answered by Penny Nom. 





111111...111 divided by 3 
20051114 

From Jesus: 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. Answered by Penny Nom. 





120 divided by 15 
20051109 

From Joshua: how do you evaluate 120 divided by (15) Answered by Penny Nom. 





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

From A teacher: An integer x when divided by 5 leaves the remainder 3. Prove that when 4x is divided by 5, 2 is the remainder Answered by Penny Nom. 





'zero divided by one' and 'one divided by zero' 
20050131 

From Katrina: Please advise how best to explain the distinction between the solution to 'zero divided by one' and 'one divided by zero'. I remember being told in school that one of them is undefined and the other is zero but I'm having difficulty with calculating and explaining it to some highly curious 10 year olds! Answered by Claude Tardif and Walter Whiteley. 





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

From A student: When dividing a 3digit number by a 1digit number, for what divisors can you get a remainder of 8? Answered by Penny Nom. 





Driving me crazy 
20040918 

From Jerry: 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? Answered by Penny. 





Division with and without units 
20040917 

From Kenneth: What does it indicate when the divisor has units (dollars) but not the dividend, as in 500/$10.00 or 500 is divided by $10.00?
Are the units understood to be there? Does 500/$10.00 make sense? Answered by Penny Nom. 





A division symbol 
20040818 

From William: i was wondering what the mathematical name for this division sign (÷). Answered by Penny Nom. 





Polynomial division 
20040113 

From Efrat:
How do we divide the following polynomials?
(x^{3} + x^{2}  x + 2) / (x + 2)
Answered by Penny Nom. 





Laying decorative bricks 
20040107 

From Duk: Loren is laying decorative brick along both edges of the 21meter walkway up to his house. Each brick is 0.26 meters long. He is placing the bricks end to end. How many bricks does he need to do the job? Answered by Penny Nom. 





1/0 = ?? 
20031209 

From Lisa: One of my students asked me a fractions question. She knows that 0/1
equals 0 but does 1/0 also equal 0? Answered by Walter Whiteley and Penny Nom. 





Divisibility by 7 
20031114 

From A student: how do you test a number to see if it is divisible by 7 or not? Answered by Penny Nom. 





0/0 
20030925 

From Thomas: How is 0/0 ever defined. Answered by Penny Nom. 





Division names 
20030310 

From A parent: what is the answer to a division problem called Answered by Penny Nom. 





Division by zero 
20030119 

From David: 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. Answered by Harley Weston. 





abc,abc 
20021120 

From Pam: 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" Answered by Penny Nom. 





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

From Elizabeth:
 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?
Answered by Diane Hanson and Penny Nom. 





Division by zero 
20020718 

From James: Why is division by zero undifined (i have to proof that division by zero is undifined) Answered by Chris Fisher. 





Some algebra 
20020511 

From A student:
/x  2 ^4/x = 8
/ = square root sign ^ = 4th root of x
also, dividing 2x3 3 6x __________ 4 + 2x
the 2x3 is 2x to the third Answered by Penny Nom. 





0/4 = ? 
20020428 

From Danielle: 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? Answered by Peny Nom. 





Division symbol 
20011212 

From Amanda: What is the name of the symbole used in a long divison problem that seperates the two factors? It looks like a little house. Answered by Penny Nom. 





Matrix 
20011121 

From Hoda: I have a question about matrix multiplication; well, actually, matrix division. I am assuming that matrices are divided the same as they are multiplied; that is, row by column. But what happens if you have to divide by zero? How does this affect the resulting matrix? Answered by Patrick Maidorn and Penny Nom. 





Division by zero 
20011031 

From Stacy: I have a question about dividing with zero. When the numerator is zero, the answer is zero. But when the denominator is zero, the answer is undefined. Why? I don't understand Answered by Claude Tardif. 





Dividing fractions 
20010509 

From Rina: I just wanted to ask if you could help me in math. See I'm having a test soon and its on Dividing Fractions and I just don't get it. My math teacher says that I'll be just fine but I failed my math quiz. I went to ask eric but they could help me so they told me to go to you. So here I am asking you if you could help me. Answered by Penny Nom. 





Why exactly can't you divide fractions? 
20010322 

From Dennis: Why exactly can't you divide fractions? Answered by Penny Nom. 





The repetend in repeating decimals 
20010321 

From Sharon: What is the name for the bar over the repetend in repeating decimals? Also, what is the name of the long division "house"? Answered by Penny Nom. 





Dividing polynomials 
20010219 

From Janna: I have two questions involving dividing polynomials by polynomials. Here's the first one: Two factors of 12a^{4} 39a^{2} + 8a  8a^{3} + 12 are a  2 and 2a + 1. Find the other factors. The other question I'm stuck on is: When 10x^{3} + mx^{2}  x + 10 is divided by 5x3, the quotient is 2x^{2} + nx  2 and the remainder is 4. Find the values of m and n. Answered by Penny Nom. 





The "goesinta" box 
20010207 

From Bridget: We are looking for the "proper" name of the "box" that is drawn around the dividend on a division problem: ___ 3)12 It has always been a family joke to call it the "goesinta" box, but a search of several reference sources hasn't yielded an answer  This is a question of curiosity rather than a question for homework. Answered by Claude Tardif. 





Order of operations 
20001126 

From Margaret Pratt: My daughter has a math question and I am afraid I am of no help. Can you help? 2x5/2+15= She arrives at 8 as the answer and has been told this is incorrect. Any help you can give would be appreciated. Answered by Penny Nom. 





Dividing with decimals 
20001115 

From Alex: 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? Answered by Penny Nom. 





Dividing fractions 
20001018 

From Paula: 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? Answered by Penny Nom. 





Why does division start from the left? 
20000524 

From Salil Dave: Addition, subtraction and multiplications start with right most digit and proceed left, but division starts from leftmost digits and goes right ... why? Answered by Harley Weston. 





Division 
20000326 

From Kelly Allen: 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 Answered by Harley Weston. 





Division 
20000316 

From Charday: What is the easiest way to calculate the least number that can be divided evenly by all the numbers from 1 to 10. Answered by Penny Nom. 





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

From Whiteny: How many 3/5 are in 3/4? Answered by Penny Nom. 





Division/Fractions 
19991106 

From Azmat Hussain: Is there a way to explain division by fractions using patterns? For example 3 divided by one half. Answered by Chris Fisher and Penny Nom. 





A fraction problem 
19990923 

From TruRed: Seven ninths divided by a negative 3.Could you pleas answer my question and go step by step. Answered by Penny Nom. 





Division by zero 
19990902 

From Joshua B. Mariano: 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? Answered by Walter Whiteley. 





Invert and multiply 
19990828 

From Debbie Walter: 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? Answered by Penny Nom. 





Division by a negative 
19990819 

From Sangeeta B.: 56/8 Answered by Penny Nom. 





Tshirts 
19990404 

From Valerie: 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? Answered by Jack LeSage and Penny Nom. 





Finding Excluded Values 
19990401 

From Lorraine Le Cam: 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? Answered by Harley Weston. 





0/11 
19990309 

From Jacob: 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. Answered by Jack LeSage and Penny Nom. 





Quotients 
19990225 

From Brian Healey: what is a quotient? what is a divisor? what is a divident? Answered by Jack LeSage.






Dividing Decimals 
19990206 

From Melanie Campbell: 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 Answered by Jack LeSage. 





Turning Fractions into Decimals 
19990116 

From Lynn: How do you do it step by step Answered by Jack LeSage. 





Indeterminate forms 
19981211 

From R. Dixon: What is the correct evaluation of infinity/0 ? I've checked three different math sites. One says definitively, that infinity/0 is "not" possible. Another states that infinity/0 is one of the indeterminate forms having a large range of different values. The last reasons that infinity/0 "is" equal to infinity. Answered by Walter Whiteley and Harley Weston. 





Fraction division 
19981118 

From Brett Darrough: 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. Answered by Jack LeSage and Harley Weston. 





The Largest Factor 
19980315 

From Senthuran Nadarajah: 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 Answered by Harley Weston. 





The Factor Theorem 
19980118 

From Dhruv Bansal: Hi, I'm a ninth grade student doing a math project for school. I'm trying to learn about various ways of solving 3rd and 4th degree polynomial equations using the remainder theorem, the factor theorem, and synthetic division. The books I have all mention x  r, which I know nothing about, not even how to get it. I would really appreciate any information on this. Thanks. Dhruv Bansal Answered by Penny Nom. 





Division by a fraction. 
19971121 

From Roger Marchegiano: 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). Answered by Penny Nom. 





The Division Bracket. 
19970409 

From Judy Riley: A fellow teacher recently asked if I remembered the exact word for a division bracket (not the symbol with dots, the horizontal line in a fraction, or a solidus). I couldn't. Can you help? Answered by Walter Whiteley and Harley Weston. 





Division by zero 
19970214 

From Linda Hood: I am a college student and have been asked to explain and figure out why we can't divide by zero. Answered by Chris Fisher. 





Priority of operations 
19961104 

From Wallace: What is the answer to this problem? Let x=2 and y=3. Evaluate 12x / 2y (if the old division sign is used). Answered by Chris Fisher. 





Could you tell me the name for the bar in a division problem? 
19961021 

From Linda: Could you tell me the name for the bar in a division problem. Not the line with dots on either side but the line that divides the two numbers? My name is Linda. I am asking for my niece who is in 8th grade. Answered by Chris Fisher. 





Division 
20100310 

From lucas: bonjour je suis eleve de 6 eme
je bloque sur ce petit probleme
Nat a fait une division,elle ecrit
4568=23*198,608+reste
que vaut ce reste?
merci d'avance
lucas Answered by Claude Tardif. 

