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Mathematics 18 Online
OpenStudy (otonogold):

|-4b-8|+|-1-b^2|+2b^3;b=-2

OpenStudy (otonogold):

Help ?

OpenStudy (anonymous):

its actually pretty easy

OpenStudy (otonogold):

Can you explain it to me? @AllTheLonelyKillers

OpenStudy (anonymous):

im pretty sure it is -23 but if you can check and make sure im not 100%

OpenStudy (anonymous):

use pemdas just plug in the (b) and then solve the parentheses use what you have left in order then you can solve the full equation

OpenStudy (otonogold):

I don't think I can use PEMDAS because it has absolute value brackets.. that is throwing me off @AllTheLonelyKillers

OpenStudy (otonogold):

@funinabox Help?

OpenStudy (anonymous):

oh he is good lol

OpenStudy (otonogold):

Lol he is ! Hopefully he cn help me lol @AllTheLonelyKillers

OpenStudy (anonymous):

what answer or how far have you gotten otonogold?

OpenStudy (anonymous):

you can use PEMDAS, just think of the absolute value brackets like parentheses

OpenStudy (anonymous):

i knew it

OpenStudy (otonogold):

So it doesnt make a difference ?

OpenStudy (otonogold):

would you combine like terms too ?

OpenStudy (anonymous):

well, i mean it does, the absolute value brackets are not parentheses, but they are treated as such when you are using something like PEMDAS in other words, do the things inside the brackets first, always. THEN apply the absolute value

OpenStudy (anonymous):

|-4b-8|+|-1-b^2|+2b^3 b=-2 so plug b in, as usual |-4(-2) - 8| + |-1 - (-2)^2| + 2(-2)^3

OpenStudy (anonymous):

can you simplify each part down?

OpenStudy (otonogold):

That makes soooo much more sense, I get it. thank you :)

OpenStudy (anonymous):

what answer do you get? this problem is actually fairly tricky with the order of operations, its easy to make a mistake

OpenStudy (anonymous):

saved the day again

OpenStudy (otonogold):

-32

OpenStudy (anonymous):

not quite, remember with absolute values, |-x| = x

OpenStudy (anonymous):

so 32

OpenStudy (otonogold):

so positive ?

OpenStudy (anonymous):

|-4(-2) - 8| + |-1 - (-2)^2| + 2(-2)^3 first step, simplify it allllll down |8 - 8| + |-1 - 4| + 2(-8)

OpenStudy (anonymous):

do you see how i got from the top to bottom?

OpenStudy (anonymous):

no, the answer isn't -32 or 32 :)

OpenStudy (otonogold):

how did you get the -8 at the end?

OpenStudy (anonymous):

because when you plug -2 in for b, you have (-2)^3, which is (-2)*(-2)*(-2), which is -8

OpenStudy (anonymous):

i put the parentheses in there to make it clearer what is happening

OpenStudy (otonogold):

oh ok i see

OpenStudy (anonymous):

alright well, can you solve |8 - 8| + |-1 - 4| + 2(-8) then?

OpenStudy (otonogold):

-11?

OpenStudy (otonogold):

hold up i might be wrong

OpenStudy (anonymous):

yes!!! good job

OpenStudy (anonymous):

-11

OpenStudy (otonogold):

im right? lol

OpenStudy (anonymous):

yep both of you are correct

OpenStudy (anonymous):

do you see why the answer is different from -32 now?

OpenStudy (otonogold):

Thank you so much :) & Yes I do, we had to break everything down

OpenStudy (anonymous):

yeaa told u he was awesome

OpenStudy (anonymous):

to recap - treat absolute value signs like parentheses first, solving everything inside of them, and then actually do the absolute value part to get rid of the brackets entirely :)

OpenStudy (anonymous):

ok

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