I think associative is (a+b)+c = a+(b+c) and commutative is a+b = b+a. But I'm not sure.
That's right. Associative is that you can change which numbers associate with each other first. Commutative is that the numbers can move around, like commuting from one side of the plus sign to the other. (At least, that's how I'm able to remember it.)
And what about transitive? Is that a=b implies a+c=b+c?
ETA: Of course I could google it. But I like talking to you people!
Transitive is a=b and b=c -> a=c (or with < or > replacing the =s)
Hil is very clever. All I can think of when I see "commutative principle" is "What's purple and commutes?"
Ans:
An Abelian grape
And that may well summarize What I Learned in Abstract Algebra.
Equality is transitive because a = b and b = c implies that a = c.
Okay, that's what I thought. So then what property is involved in the proof that a+z = b+z => a=b?
Ignoring the disturbing math talk, to say g'night. I'll be back tomorrow morning!
So then what property is involved in the proof that a+z = b+z => a=b?
I think that's the inverse property, since what you're doing there is adding the inverse of z to each side.
G'night, Erin!
Looking again at the question, I think they were looking for associative, for the step from (a+z)+-z=(b+z)+-z to a+(z+-z)=b+(z+-z). Interesting. I wouldn't have thought to make that two steps, but I guess it makes sense.
Anyway, thank you.
Dear Person,
If you can't help me with what I asked for, please call me and let me know. The reason I came to you, instead of my usual contact, was becuse I needed an answer today. If I wanted an answer tomorrow, I would have waited for my contact to get back in.
Dickhead.
Ta, Aimee, Your Neighborhood A/R Girl