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	preuve par 9		2001-04-04
		Michel pose la question : Pourriez-vous m'expliquer en détail comment fonctionne la preuve par 9 (pour une division et une multiplication). Je sais l'appliquer mais je ne sais pas pourquoi ça marche. Je ne retrouve pas la démonstration. Merci de m'aider. Exemple . 17x2=34 ; preuve par neuf : 1+7=8 ; 8x2= 16 ; 1+6=7 et 3+4=7, on peut donc supposer (sans affirmer) que cette multiplication a un résultat juste car la preuve par 9 est bonne, 7=7. Comment fonctionne cette preuve par 9??? Claude Tardif lui répond.
	Combien y aura t il de 9 dans la réponse?		2000-06-17
		Marie pose la question : J'ai lu une énigme mais je n'ai pas la réponse."si l'on divise 123 456 789 par 999 999 999, combien y aura t il de 9 dans la réponse?" Claude Tardif lui répond.
	my prcentage of years on earth is		2020-09-21
		Bill pose la question : This Tuesday is my birthday and I will be 69. and I just wanted to know life ear is say earth is 6 billion years old I'm just curious to what percentage does my existence on earth reptresent I do realize that it's a flash in the pan Penny Nom lui répond.
	Choosing 4 balls from 9		2020-07-22
		sandiso pose la question : What is the probability associated with each possible random sample of size 4 from the population consisting of these nine balls Penny Nom lui répond.
	A circle inscribed in a 30-6-90 triangle		2017-04-07
		Kameron pose la question : i have been given a problem with a 30-60-90 triangle and a circle inscribed with a radius of 2 and was told to find the perimeter of the triangle Penny Nom lui répond.
	980 cubic yards of dirt		2016-12-17
		Jondi pose la question : I am trying to visualize 980 cubic yards of dirt by using a metaphor. Would this be the size of a car? A fire engine? A semi-trailer? How many trucks would you need to haul away 980 yards of dirt? Penny Nom lui répond.
	The cube root of 729		2014-11-12
		Alexis pose la question : What would be the square root of 729 to the third power and could you explain how to get the answer? Penny Nom lui répond.
	4821x14y is an 8-digit number divisible by 72		2014-08-06
		RAYA pose la question : if 4821x14y is an 8-digit number divisible by 72. How many values can x and y take? Penny Nom lui répond.
	A schedule for 9 teams on 3 fields for 18 days		2014-04-25
		Scott pose la question : I need to schedule 9 teams on 3 fields for 18 days with no buys. Two teams play while other practices in field(little guys). Two fields have backstops and other is open field. Would like to have even time on each diamond if possible. Thank you Victoria West lui répond.
	A 4 digit number		2014-04-04
		LIM pose la question : "A" is a 4 digit number formed by all the numbers from 1 to 4. When "A" is divided by 9, the remainder is the biggest possible value. What is the biggest value of A? Chris Fisher lui répond.
	9 golfers in groups of 3		2014-03-22
		Andrew pose la question : We are a group of 9 golfers. We play 4 rounds in 3 groups of 3. What would be the most equitable where everyone plays with another at least 1 time...?. Thank you. Victoria West lui répond.
	9 golfers divided into 3 teams		2014-02-22
		Steve pose la question : We have 9 golfers, divided into 3 teams each day. Play is over 6 days. Can you devise a schedule to ensure pairings allow for all golfers to play at least once with all participants? Also, that the pairings have one player from another team. Victoria West lui répond.
	6 digit permutations from {1-49}		2012-12-27
		ange pose la question : how many six digits numbers permutations can be formed with the set {1-49} if no digit is used twice in each permutation?? Penny Nom lui répond.
	29 golfers		2012-06-04
		robert pose la question : i have 29 golfers and have to make 8 teams for a golf scramble there will be 5 teams of 4 and 3 teams of 3 what is the fairest way to make up the teams? Victoria West lui répond.
	6/49		2012-05-25
		Mark pose la question : Can you explain why the lotto 6/49 (a lottery of 49 numbers and 6 slots) is a combination and not a permutation? It seems to me that it would a permutation given that the numbers are written in numeric "order" when you look them up in the newspaper. I realize that 49P6 is orders of magnitude larger than 49C6. But I am confused about the reasoning behind it. Robert Dawson lui répond.
	Numbers with a digit 9		2011-05-13
		Veronica pose la question : How many numbers between 200 and 750 have a 9 for at least one of the digits? Penny Nom lui répond.
	I have nine players, three rounds of golf		2011-02-05
		Pat pose la question : My problem is I have nine players three rounds of golf, please could you give me the best formula so that no two players play twice together Victoria West lui répond.
	An even multiple of 27		2011-02-01
		parth pose la question : the 6 digit # 63x904 is an even multiple of 27 what is X Penny Nom lui répond.
	Powers		2010-10-20
		dylan pose la question : how do you write 20736 in exponential form .same for 1728 and 50625. is there a formula to figure out how to express large know numbers in exponential form. Penny Nom lui répond.
	Does 1= 0.9999....?		2010-04-07
		Asia pose la question : Does 1= 0.9999....? There seems to be different opinions on this. Robert Dawson lui répond.
	The sides of a 30-60-90 triangle		2010-03-29
		maris pose la question : Find the sides of a 30-60-90 triangle whose perimeter is 6. The solution must use systems of equations using 3 variables. Penny Nom lui répond.
	Repeating Decimal		2010-03-14
		Gerald pose la question : 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.. Chris Fisher lui répond.
	An isosceles triangle		2010-02-11
		Kim pose la question : I am given the length of the two legs of an isosceles triangle (8), and the base angles are 30 degrees...I am asked to find the area of the triangle with only this information Tyler Wood lui répond.
	Two percent		2009-12-20
		Brian pose la question : Hello I am having a problem figuring out something. Someone told me that .98 is the same as 2% how is this possible, how did they figure this out here is my example 929.79 x .98 = 911.19, is the same as 929.79 x 2% = 18.59, now minus the 18.59 and you will end up with 911.19, how did they convert 2% to .98, please help thgis is driving me nuts as I am not very good at math. Thank you Warmest Regards Brian Penny Nom lui répond.
	4x +3/4 = 1/4		2009-12-12
		Lynda pose la question : 4x +3/4 = 1/4 I know the answer is -1/8 but I don't know how to show the process of getting the answer Penny Nom lui répond.
	I have 9 players 4 rounds of 3		2009-08-31
		Larry pose la question : I have 9 players 4 rounds of 3. I need each player to play one timw with everyone in the group Victoria West lui répond.
	Golfing with an unpopular golfer		2009-07-23
		Ian pose la question : "We are a group of 8 golfers, one of whom is unpopular. How can we construct a schedule, of two foursomes, so that each person is scheduled to play with him the same number of times. What does the week by week schedule look like?" Robert Dawson and Victoria West lui répond.
	A base 7 number and a base 9 number		2009-07-09
		koteawarao pose la question : Find a base 7 three-digit number which has its digits reversed when expressed in base 9. ans: (281) base 7 and (182) base 9 Harley Weston lui répond.
	0123456789		2009-03-25
		Dr. pose la question : Many years ago I discovered that there are 33 numbers which, when multiplied by 0123456789, simply rearrange the digits. Surprisingly (to me at least) is the fact that the digits of all of those 33 numbers add up to one of the 6 "cardinal" numbers 1, 2, 4, 5, 7, and 8. For example 6 + 2 = 8 and 62 X 0123456789 = 7654320918 etc. Another interesting (to me) fact is that only the cardinal numbers 1, 2, 4, 5, 7, and 8 rearrange the digits in the number 9876543210. My question is: "Is this known to anyone but me and the people I have told?" Robert Dawson lui répond.
	Some 9 letter permutations		2009-02-24
		Cecilia pose la question : If the letters G, H, S are used exactly 3 times how many 9 letter combinations can be generated? Penny Nom lui répond.
	Buying 13,983,816 tickets for the 6/49 lotto		2009-02-23
		luis pose la question : if 6/49 lotto combinations is 13,983,816 combinations at 10.pesos per combinationthe price amount is 139,838.160.00 is it wise for me to get all the combinations since the the pot money is more than 347 million pesos. Am I right? Robert Dawson and Penny Nom lui répond.
	9 golfers		2009-02-12
		Beth pose la question : I am organizing a golf trip for 9 women. We are playing in threesomes and are playing four days. I would love to mix it up so that everyone gets to play with each other at least once. Any mathematical suggestions as to how I can make this happen?? Robert Dawson lui répond.
	A 30-60-90 triangle		2009-02-03
		Inez pose la question : If you have a 30-60-90 triangle and the only side you get is 73 and a 90 degree box, how do you find the area? Penny Nom lui répond.
	0.99999....		2008-09-23
		Eve pose la question : Hi, i had a problem with change 0.99999... this recurring decimal to a fraction. I know the method, but the answer I got is 1 as you can see below. Where have i done wrong? Harley Weston lui répond.
	Choosing 5 numbers out of 39 numbers		2008-07-18
		robert pose la question : Please list the way I can choose 5 numbers out of 39 numbers, without repeating them, starting at number 1. Please send me a list of all 120 combination. Harley Weston lui répond.
	A 9 team flag football tournament		2008-05-22
		James pose la question : I like to run a 9 team flag football tournament where each team is guaranteed 3 games prior to playoffs. All games must have playoff implications and must not be a consolation game. Victoria West lui répond.
	A season schedule for 9 teams		2008-05-22
		James pose la question : would like to put together a season schedule for 9 teams with each team playing three or 4 games leading to a 1 to 9 ranking. Victoria West lui répond.
	Nine digit numbers		2008-05-21
		Alex pose la question : List of Nine digit numbers, that can be divided by nine? Janice Cotcher lui répond.
	A 30-60-90 triangle		2008-04-16
		Ron pose la question : 30-60-90 triangle. Base is 2.75 how do I find the length of the other two sides? Penny Nom lui répond.
	Combinations		2008-01-08
		david pose la question : is there a simple formula to follow for the number of combinations a set of numbers could have ie.( lotto 649, 6 numbers, 1-49 range) Penny Nom lui répond.
	For how many positive integers n is n^2 + 96 is a perfect square?		2007-12-18
		Rajesh pose la question : For how many positive integers n is n^2 + 96 is a perfect square ? Penny Nom lui répond.
	A math trick		2007-12-10
		Megan pose la question : I need to write a mathematical explanation of why this works! Start with a four digit number. (a positive integer, and all digits can NOT be the same. At least one must be different) Rearrange that four digit number. Subtract the smaller 4-digit number from the larger. Now circel one digit. (canNOT be zero, because that is already a circle) Now re-write that number excluding the circled digit. Compute the sum of the digits. Now write down the next multiple of 9 that is larger than the sum. Subtract the Sum from the multiple. (multiple - sum of digits) Report Difference = to number circled. The resulting number should be the number that originally circled. Penny Nom lui répond.
	A 3-digit number in base 7 has its digits reversed when expressed in base 9.		2007-01-28
		Ashley pose la question : A 3-digit number in base 7 has its digits reversed when expressed in base 9. Find this number. Penny Nom lui répond.
	Four 9s		2006-12-15
		A student pose la question : Can you make 67 with four 9's without using the ceilling method? Stephen La Rocque lui répond.
	a _________________ line forms a 90 degree angle with another line		2006-09-24
		Lisa pose la question : a _________________ line forms a 90 degree angle with another line is this to it what fills in the blank? first letter is E third letter is R and has 13 letters Stephen La Rocque lui répond.
	A 30-60-90 triangle		2005-09-11
		Gary pose la question : I have the length of only 1 side of triangle with angles of 30-60-90 degrees. How can I find the length of the other 2 sides? Penny Nom lui répond.
	The value of n*tan*(180/n) tends to pi		2005-07-11
		Daniel pose la question : I am 14 and i have been given a piece of maths coursework whereby a farmer has to fence off a piece of land as large as possible using 1000m of fence. I already know that the formula for working out the area of any shape of a 1000m perimeter = 5002/ n*tan*(180/n), however, after some research I have found out that as the number of sides (n), tends to infinity, the n*tan*(180/n) tends to pi. Why is this? Penny Nom lui répond.
	Making the number 99999		2004-12-22
		Lisa pose la question : Make as many equations as possible to make the number 99999 using all of the numbers 0-9 but only once per equation. example 01234 + 98765 = 99999 she needs to make 150+ equations. Paul Betts lui répond.
	0.999..., asymptotes and infinity		2004-12-17
		Mike pose la question : My Name is Mike and I teach high school. I had a student ask me to explain why .9 repeating is equal to 1. Then he asked me about an asymptote, or why a parabola or any other curve for that matter can continually approach a value (like 1) and yet never attain a value of 1. He is thinking that these two should represent the same concept and yet they contradict each other. Do you have a solid explanation for him? Of by the way he is a 7th grader. Great little thinker!!!!! Claude Tardif and Harley Weston lui répond.
	A 30-60-90 triangle		2004-11-09
		Amy pose la question : How do you find the length of the hypotenuse of a 30-60-90 triangle when the side opposite the 60 degree angle is 6 inches? Penny Nom lui répond.
	Pick a number greater than 1		2004-06-25
		A student pose la question : I understand that when you pick a number greater than 1 and less than 10; multiply it by 7 and add 23, then add the digits of that number until you get a one digit number. Then multiply that number by 9, add the digits of that number until you get a one digit number, subtract 3 from that number and divide the difference by 3; that this process will always give you the result of 2. Does this have a name or theory for it as to why the answer will always be 2? Penny Nom lui répond.
	The "22" puzzle and the "1089" puzzle		2004-04-22
		Marcelle pose la question : 1. Choose 3 digits from 1-9 2. Make all the 2 digit numbers you can from these (6) 3. Add the 3 original digits and divide them into the sum from step 2. The answer is always '22'. I just can't understand why. Can you please help. Another one related to this is it: 1. Choose a three digit number ensuring the first and third digit are differnt by at least two. 2. Make the reverse three digit number and subtract the smaller one from the larger of these. 3. Take this answer and reverse it and add these two 3 digit numbers . eg: 643 - 346 = 297 297 + 792 = 1089 it doesn't matter what numbers are used, the results are alwasy the same. eg 22 or 1089 Paul Betts lui répond.
	What's it called?		2004-04-22
		Gerry pose la question : I'm a father and a grandfather and have come up with a game for my offspring to play while we're on the road. When we see a license plate, the object is to be the first one to add all the numbers on it, and come up with THE one digit number that sums them up. For example: ABC-787 = 7+8+7 = 22 = 2+2 = 4 Another example is 2932 = 2+9+3+2 = 16 = 1+6 = 7 Up 'til now, I've called it just plain "Numerology", but I'm sure that there's a math term for what we're doing, and I'd sure appreciate it if you could tell me what it is! Chris Fisher and Penny Nom lui répond.
	Digits in the decimal expansion		2004-02-11
		Leslie pose la question : In the decimal expansion of 1/17 what digit is in the 1997th place? Penny Nom lui répond.
	X.9999... and X+1		2003-08-23
		David pose la question : I have read your answers to the questions on rational numbers, esp. 6.9999... = ? and still have a question: The simple algebraic stunt of converting repeating decimals to rational numbers seems to work for all numbers except X.999999.... where X is any integer. The fact that the method yields the integer X+1 in each case seems to violate the completeness axiom of the real numbers, namely that there is no space on the number line which does not have an number and conversely that every geometric point on the number line is associated with a unique real number. In the case of 3.999... for example, it seems that both the number 4 and the number 3.9999.... occupy the same point on the number line. How is this possible??? Penny Nom lui répond.
	39 consecutive natural numbers		2003-08-19
		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.
	nine digit numbers		2003-07-23
		John pose la question : With a nine digit number, with each of the nine digits having a possibility of 10 different numbers then what is the total number of possible mathematical variations in the nine digit number. i.e. Social Security numbers have nine digits and if each of the nine digits have a possibility of being any one of ten numbers, i.e. 0,1,2,3,4,5,6,7,8,9. Then what is the formula to calculate the maximum possible number of variations in this nine digit number and what is the mathematical maximum possible number of variations of this nine digit number? Penny Nom lui répond.
	0.99999...		2002-09-26
		Erica pose la question : Yesterday in my 8th grade math class we were being taught how to convert a Repeating Decimal into a fraction. Since I, for some odd reason, seem to understand math better than the rest of my classmates, i began to drown out my teachers explaination for the rule. While she was about half way through with explaining mixed decimals i came up with an unsolvable question. Like I said before, I understand how to turn a repeating decimal into a fraction, but how would I turn a repeating .9 into a fraction? We all know it would equal 9/9, but doesn't 9 over 9 also equal 1? Even though it comes very close to one, it never really equals one. I'm very confused about this and i would love it if you could clear this up for me. Penny Nom lui répond.
	A group of 9		2002-08-31
		William pose la question : what is the mathmatical name for a group of nine like a group of 3 is called 'triplets' Penny Nom lui répond.
	100 from four 9's		2002-03-27
		A student pose la question : My teacher gave us a math problem to try and figure out and I am stumped. The problem was this.... by only using four nines, how can you get an answer of 100? You can add, subtract, multiply or divide...anything you need to do ,but you can only use four nines. Leeanne Boehm lui répond.
	A lottery question		2002-03-25
		Noel pose la question : I want to take all numbers in a Lotto game from 1 to 45 and ditribute them between 9 boxes each containing 5 numbers. Each number is used only once. What is the probability that I derive the correct combination of 5 numbers in the draw? What is the probability if I take a systems game and now distribute 9 numbers into each of 5 boxes? Once again, the numbers are used only once. Can you explain what formulae are used and how the answer is derived? Is this a distribution or combination problem? Or is it a combination of both distribution and combination? Andrei Volodin and Penny Nom lui répond.
	A 91-gon		2001-09-10
		Ashley pose la question : Hi! My name is Ashley and I am an 8th grader and I couldn't find the name of a polygon with 91 sides. i was a question from my math teacher. Penny Nom lui répond.
	Divisibility rules		2001-09-07
		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.
	0.999999=1?		2001-09-06
		Catherine pose la question : Hi! My teacher told us that 0.9 repeating equals one. We discussed how this is true. But, I was wondering if there is a proof that this is true. If so what is this called? I was trying to find information, but, it's hard when you don't know the name. Walter Whiteley lui répond.
	1996^1999 and 1999^1996		2001-07-29
		Rajesh pose la question : what is greater 19991997 or 19971999? Chris Fisher lui répond.
	Repeating decimals		2001-04-21
		Sarah pose la question : Hi, I'm working on a project for school. The theory I choose was "When turned into a fraction, a repeating decimal has a denometor that is a multiple of three." I have a couple of questions about this topic. My first question is, have you ever heard of this, and what can you tell me about it? My second question is, when I was testing this theory I came across .999... now, when this is a fraction it is 9/9 which is equal to one. The denometor is a multiple of 3, but it's a whole number. I don't understand how a decimal can be equal to a whole number since a decimal is a piece of a whole number. Please don't just show me a math problem, I don't want to see a math problem. I want to see an explanation of this theory and the decimal .999... Penny Nom lui répond.
	1 = 0.999...		2001-04-13
		Joan pose la question : I have a middle grade math question for you. I would like to know why .9999... = 1 ? I can not use algebra to show this or the following: We agree that 2 = 2 and that 2-2 = 0, so 1.00000...... -0.99999..... ---------------- 0.000000...... and 0.000... = 0 therefore 0.9 = 1 ----------OR--------------- 1/3 = 0.333333 and 3 X 1/3 = 1, so if 3 X 0.333... = 0.999... then 0.999... = 1 My teacher says that I can not use the above example to show why this is true, and that I must use a couple different examples. He says that there are several other ways. Do you know any? I could really use the help because I can't think of any other ways to show this is true. Thanks for any help you can give. Penny Nom lui répond.
	Lotto 6-49		2001-02-27
		A student pose la question : I am a secondary student and I was wondering if there was a better way to find out how many combinations and what they are in the lotto 6/49 than writing them out on a piece of paper. Any help you can provide me with would be greatly appreciated. Penny Mon lui répond.
	Lucky dip		2001-02-09
		Andrew pose la question : I buy 8 lucky dip (random number) panels, each panel has 6 numbers chosen at random from 49. I never seem to cover more than 32 different numbers on average, over the total 48 numbers chosen, which seems low? How can I calculate the probability of 32 different numbers or 33 diferent numbers? Claude Tardif lui répond.
	Divisibility by 9		2000-10-24
		Kelera pose la question : If the sum of the digits of a number is divisible by 9, then the number itself it divisible by 9. Why is that? How do you explain this? Penny Nom lui répond.
	1234567890		2000-09-14
		Bradley Kloetzly pose la question : Can you find two whole numbers, with the smallest possible difference between them, which when multipled together equal: 1234567890? Harley Weston lui répond.
	6-49		2000-09-14
		Steve pose la question : In our state lottery you must choose 6 numbers (1-49). How many different combinations are there? They can be in any order. Harley Weston lui répond.
	The side length ratios of some triangles		2000-04-04
		Alexis Lockwood pose la question : I am doing a project for my Math 30B class regarding the side length ratios of 45-45-90 degree and 30-60-90 degree triangles. I would really appreciate any assistance in answering the following questions, or even direction to an appropriate web site or resource on the matter. Harley Weston lui répond.
	Divisibility by 3		2000-03-24
		Pat Walsh pose la question : W hy does it work when you add the digits of a number then divid by three to see if the number is divisible by three Penny Nom lui répond.
	Nines and ones		1999-11-05
		Greg Miller pose la question : Using the numbers 1, 1, 9, 9, only once each, how can I create an expression that equals 10 using only the basic functions of addition, subtraction, multiplication, division, and/or parentheses? Claude Tardif lui répond.
	111...1222...2		1999-08-11
		Brad Goorman pose la question : Let N = 111...1222...2, where there are 1999 digits of 1 followed by 1999 digits of 2. Express N as the product of four integers, each of them greater than 1. Penny Nom lui répond.
	Repeating decimals		1999-05-21
		Stan pose la question : Hi, I am in Honors Math, and have confronted everyone, including teachers, about repeating decimals. What interests me is the number 0.9... and 1. Everyone says that since there is no number between 0.9...(repeating) and 1, that 0.9... = 1. However, isn't a repeating number a representation of a number, and not a real number? Let's look at it this way. 0.9 is close to 1. 0.99 is closer. 0.99999999999999 is even closer. so, 0.9... is a representation of it's closeness to 1. it's an active number... I don't understand how 0.9... is equal to 1. Please help me prove that 0.9... does NOT = 1. Penny Nom lui répond.
	Divisibility by 9		1999-02-21
		Razzi pose la question : I've been having a hard time trying to solve the following problem and I was wondering if you could help me. For any positive integer a let S(a) be the sum of its digits. Prove that a is divisible by 9 if and only if there exist a positive integer b such that S(a)=S(b)=S(a+b). Chris Fisher and Harley Weston lui répond.
	6.99999... = ?		1998-12-05
		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.
	3 to the power of 1994		1998-09-05
		Kim Tangney pose la question : What are the last two digits of: 3 to the power of 1994 7 to the power of 1994 3 to the power of 1994 + 7 to the power of 1994 7 to the power of 1994 - 3 to the power of 1994 Penny Nom lui répond.
	A Place Value Curiosity		1998-05-25
		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.

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