  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: associative   start over

9 items are filed under this topic.    Page1/1            Is this operation associative? 2014-01-14 From patrick:Associative test: Can you explain the following to me? Is the following operation associative?: x*y=x+y+1 1) x*(y*z)=x*(y+z+1)=x+(y+z+1)+1=x+y+z+2 2) (x*y)*z=(x+y+1)*z=(x+y+1)+z+1=x+y+z+2 The answer is yes as 1) = 2) My specific questions are: 1) How x*(y*z)=x*(y+z+1)=x+(y+z+1)+1 ? 2) How (x+y+1)*z=(x+y+1)+z+1? Thank you!!Answered by Penny Nom.     An associative binary operation 2008-09-08 From Skye:Suppose that * is an associative binary operation on a set S. Show that the set H={a E S such that a*x=x*a for all x E S} is closed under *. (We think of H as consisting of all elements of S that commute with every element in S.) Thanks!Answered by Harley Weston.     Is this operation associative? 2008-09-06 From Francesca:Determine whether the binary operation * defined is commutative and whether * is associative * defined on Z by a*b = a-b\ I understand how to figure out if it's commutative, but I thought for a binary operation to be associative, it had to have at least three elements, so I don't know how to tell if this associative or not.Answered by Penny Nom and Victoria West.     Associative or commutative? 2007-08-24 From Terry:5*(7*2)=(7*5)*2 Is this associative property or commutative ??? Both?Answered by Penny Nom.     A binary operation 2007-07-31 From sofia:Prove that if * is associative and commutative binary operation on a set S, then (a*b)*(c*d) = [(d*c)*a]*b for all a,b,c,d element in S. Assume the associative Law only for triples as in the definition that is, assume only (x*y)*z = x*(y*z) for all x,y,z element in S.Answered by Penny Nom.     Binary operations 2007-07-30 From jim:prove or disprove: Every binary operation on a set consisting of a single element is both commutative and associative. Answered by Penny Nom.     Fill in the blanks 2006-10-04 From Justin:1. To find out about how much, you can------------- 2. The --------- ---------states that the sum is the same no matter who you group the addends.Answered by Stephen La Rocque.     Addends can be grouped differently but the sum does not change 2002-09-03 From Jodia:I have been searching the web for over an hour & a half now for the answer to the following question: The _____ states that addends can be grouped differently but the sum does not change. Answered by Penny Nom.     Definitions 1997-09-08 From SohoGirl13:I am an 8th grader. my e-mail address is SohoGirl13@aol.com. I have a question: what are the associative, communitive, and distributive properties?Answered by Harley Weston.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français