Nov. 22nd, 2012 @ 02:13 PM
At 11/20/12 08:53 PM, Luke wrote:
I don't know how you guys can figure any of this stuff out.
I've always been good with math but this semester, I had your same problem except with physics. This is the process I've learn from that struggle:
We break it down into things that we know.
$foo = "x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6 ) = 7x + 21";
(Not sure if I formatted that code right. Never used this feature before.) The first step is to categorize the problem. What type of math is it? I see that it's an equation with a single variable so I categorize it as single-variable algebra. Next, I think about all the things I know about equations in single variable algebra:
- I can add terms with the same variable. So if I add x to 2x, you get 3x just like adding 1 to 2 gives you 3.
- Preforming operations in algebra follows the order of PEMDAS: Parenthesis, exponents, multiplication, division, addition, and subtraction
- Addition is commutative, which means it can be done in any order. A+B=B+A
- When a set a parenthesis isn't being multiplied, divided, and taken to an exponent by something, you can treat the parenthesis as if they're not there. so A+(B+C)=A+B+C
Now that I have in mind all of these things, I can utilize them one by one to work away at the problem (I won't solve it here because other people have already done that). If you apply one rule at a time, you find that bit by bit, a complicated problem starts to look simpler. If you're unsure of what to do, don't try to focus on the broad scheme. Just figure out where in the ballpark you are, and utilize relevant facts to identify what one thing is that you can do. Are there like terms to add? Are there parenthesis to distribute? If you have a fraction, can you reduce it? Things like that. And after you've done that one thing, look for another thing just like how when you're doing a jigsaw puzzle, you only put in place one piece at a time.
The hardest part is memorizing not just all the rules but also how they're used, and that just takes practice. The more you do problems, the more you'll get a feel for what rules each situation calls for.
At 11/22/12 01:05 PM, Scary wrote:
At 11/21/12 10:45 PM, jjjkuk wrote:
fight fight fight