You are not logged in.
91 does seem more appropriate.
Yep it's 91. My bad.
Horrible definitions of math books.
For numbers it is always the positive value.
When you switch the subtraction of two numbers you change the sign.
a - b = - ( b - a )
I hope I understand it. I did skim over this stuff in one of the books Shivam suggested.
a + (-a) = 0
a = -(-a)
-b = -b,
a - b = -b - (- a) = -(b - a)
Hi PatternMan
Do you remember how the absolute value of a number is defined?
I just wrote
|9-5-3| = |5-9-3| = 6 I don't know why that works but it works for those values anyway. Also I just learnt that the absolute value was the displacement from the origin or 0.
Hi PatternMan
because
.
I think I may have missed something. I didn't know you could do that. Is there a name for this? I don't remember learning that the order of terms in an absolute value can be switched.
Is there a problem in my calculation multiplying those brackets? Also why are they allowed to switch those terms? Actually I just realized I think. Is it because a + b = -a -b ? I really need to master the basics first. (-‸ლ)
What reason is that?
I was able to sign up now. The website looks promising. I love the navigator and the explanations and overviews are great. I didn't see any examples or practice problems. It's also not as easy as some other sites to navigate but the website is only in it's better phase.
You did not get my email, PatternMan?
Yes but it wont let me sign up for some reason.
Sorry, I meant theInternet isn't good for calculus and beyond.
Not yet, xD That can be changed.
Actually Brilliant has some pages teaching concepts (in technique trainer, I think) but really you can't learn from the Internet.
I disagree with this. The internet can be better than books sometimes. I see maths animations online sometimes that make a concept clear. This would never be in a book. In fact I prefer doing problems in front of the computer as the interface is interactive by clicks. I don't have to physically flick to the back of a book to see a solution.
Brilliant is a competition site, rather than education. For that purpose, I wil recommend mathopolis, mathisfun and expii.
Ask me if you need a refferal code for expii
Give me please.
Hi PatternMan;
I can add another reason to ShivamS' list:
>Failure to ask questions. If you are having trouble at Brilliant why not ask how to do the question over here?
There are solutions to the problems so there's no need to ask many questions. The only problem is the site doesn't teach the concepts but only gives solutions. I just don't solve them sometimes because I don't know of some method or I struggle to apply what I know to solving a type of problem I haven't come across before. I find it really interesting how our solutions can be so different sometimes.
I'm starting to think I might not be cut out for math but I'm not sure. On Brilliant.org I struggle to sole some of the level 1 problems. I'm not sure if it's because I lack the ability or I haven't learnt the material well enough. Sometimes it even takes me 15 mins to figure out how to solve them. Other times I just check the solution if I don't solve it within that time. I don't even bother at looking at any problems higher than level 2 on there. I hope I get better but this site is just making me realize gaps in my math skill.
progress report
I found a solution to this which was to make the material more active and game like. Reading books for me gets boring quickly. I paid for a brilliant.org subsription to test my application. I drag but I have gotten a lot better in a few days since they have lots of problems and solutions. Now I simply skim through a chapter in a book taking down the rules I need to memorize. I spend <40 mins. Then I do basic problems using them. Then I take a break and daydream about the theory for a little bit. Then I follow another session of problems. Also in the day I practice whatever weak areas I discover from doing poorly on brilliant.org.
So basically my procrastination problem has declined. I get in at least 3 hours a day and it doesn't even feel like work anymore. I make flashcards of the rules I need to remember so that is minimal effort and works eventually. I go through my books, use mathisfun as a reference, do problems on mathisfun & brilliant. I'm also on pre-calculus at the moment while reviewing everything else. I'll probably transition onto Calculus in 9-12 weeks at the current pace if I don't get too overwhelmed by my upcoming responsibilities.
19?
Congrats.
A function can have only 1 output.
In f(x) = √x, it will only give the positive root.
Why don't they take the negative root instead? I read they take the absolute value. Is it just convention?
Isn't the the square root of a number eg 25. 5 or -5? When I solved quadratic equations I would use this method. In desmos a graphing program the square root is only outputting the positive square root regardless of whether I make it a function or not. So the function has only one output. But why does it only take the positive root and how do I know when this applies?
f(x) = sqrt(x)
f(9) = 3?
y = sqrt(9)
https://s3.amazonaws.com/grapher/exports/9gjyy99zft.png
Thank you so much ShivamS and Bob Bundy.
I think I asked this before but does anyone know a website or software I can use to graph functions? I want to experiment a lot with this precalculus before I go any further.
I'm definitely a creative thinker. Because of it I can annoy many people very easily. I'm partially a gifted learner. I'm definitely not a high achiever.
What book is that?
elementary and intermediate Algebra - Michael Sulivan,
book says it's written in the form Ax + By = C. A=0. B= -2, C = 5
So
0(x) + (-2)y = 5
So an equation with two terms is a binomial right? An equation with degree ^1 is a linear equation. Ax + By = C is the general form of a linear equation with two variables that we graph. The book I'm reading says that -2y = 5 is a linear equation with two variables. Why is this? There is 0x there.
Hi PatternMan;
A question. Is the phrase "Which number comes next in the sequence?" part of the original problem? Did you add it?
It's part of the original question.
xD How long did it take you to figure it out?
By the way I have "basic maths + Geometry - Serge Lang" and Sulivan's Algebra now. I'm going through them nearly everyday. Sulivan's book is nice and easy is go through. It is organised well and shows you lots of methods. Even though I dislike parts of Basic Mathematics, I prefer it. I dislike that it is kind of difficult and assumes prior knowledge of certain things somethings. I really like the problems in that book and how it derives many of the rules. This is something that is nonexistent in the modern books I have read.