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I'm in 8th grade an am struggling with these proofs. Thanks, this really helped me!

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Awww you're welcome :)
what prroofs?
GreatBritishEmpire indeed.

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Just out of curiosity..When will this ever come useful in life? Perhaps this would help if you were an architecture or an engineer...
You mean math? Or the infamous proofs you seem to have discussed with bahrom?
Uh, life in general. Do you need this skill in life for the "real" World
Yes, but what skill? Being able to solve math problems or being able to formulate proofs?
Being able to formulate a proof.
Well, look at it this way. In life you probably will never have to formulate a proof. Or even get close to the kind of mental gymnastics involved in doing proofs. But I assure you that whatever is it that you are going to do in life, be it an architect, graphic designer, shopkeeper or paper-delivery guy, the ability to think in terms of mathematical logic and the processes needed to formulate those proofs will be one of the greatest additions to your arsenal of skills. You will be able to think clearly about problems that you will face, you will be able to correlate issues with their solutions much more efficiently and most important you will be elegant and precise in your language when talking to other people - which as you grow up you will learn that it is a very important aspect of society - and then as you approach your maturity years you will develop ways of solving problems you never thought possible. So yeah, I think being able to formulate a proof, any proof, is one of the best skills in life. However, even the greatest mathematicians cannot and will not ever agree that they have mastered that skill. I assure you.
Ah, Interesting. I've never thought about it that way. :) I hope to further understand proofs someday...Although for now I must continue to study and practice. Again, thank you very much for the help. ( sorry for the slow reply, I working on my homework at the same time)
No problem. Have fun on your homework. And do work on your ability to do proofs. Smarter is better. Trust me ;)

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