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You are not logged in. #26 20130328 14:15:57
Re: Division Algorithm?
BTW, I just wanted to confirm that this is correct? #27 20130328 18:28:41
Re: Division Algorithm?Hi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #28 20130328 21:40:25
Re: Division Algorithm?hi rhymin Now, division must have come long before the concept of "is it divible by" so someone must have made up that definition. Now he/she could have defined " divides " or " is divisible by ". The result is mathematically equivalent; it's all in the way you express the property. So why, oh why, did this person choose " divides " which puts the first number second and the second number first and just to be really confusing invent the symbol  for it, when  is already heavily used in maths to mean other things, and looks a lot like the symbol for divided by \ ??? No wonder I got mixed up. END OF EXCUSE. So, to make amends here is a method for creating the linear combination that doesn't require a computer. We want integers s and t so that Divide the larger number by the smaller ( 260/33) Divide the larger number by the smaller (33/29) Divide the larger number by the smaller (29/4) When one of the 'coefficients' is 1 you can stop this process and jump to simultaneous equations. Solving gives t = 25 and s = 197. This pair are different from bobbym's pair but both sets of answers for s and t work. There are, in fact, an infinite number of solutions so best wishes to any teacher who has to check them all. Bob You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #29 20130329 04:55:42
Re: Division Algorithm?Bob Bundy, no worries at all. The confusion actually helped me more because I don't think I will ever forget it now because of this discussion. Also, thank you so much for showing how you solved for that. #30 20130329 08:49:30
Re: Division Algorithm?Q1 is no You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #31 20130329 18:58:11
Re: Division Algorithm?
Yes, as long as it satisfies the condition. Remember that just one counterexample is ok to disprove anything 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda 