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Mathematics 22 Online
OpenStudy (anonymous):

help please @ganeshie8 @e.mccormick @amistre64 @AravindG

OpenStudy (anonymous):

OpenStudy (e.mccormick):

Order of operations. What would come first? That is the big key here.

OpenStudy (e.mccormick):

PEMDAS, or Please Excuse My Dear Aunt Sally Parenthesis Exponents Multiplication and Division Addition and Subtraction Start at the top and work to the bottom. So, do you see any Parenthesis? If not, go on to Exponents and so on.

OpenStudy (anonymous):

start with the last one?

OpenStudy (e.mccormick):

If by last you mean: \(.1^2\) YES! Exactly.

OpenStudy (anonymous):

so that divided by the number next to it?

OpenStudy (anonymous):

i got a longgggg number \

OpenStudy (e.mccormick):

Well, not quite. The .01 you get from squaring is on the left, so it divides, not the other way around.

OpenStudy (e.mccormick):

\(9.0073+0.07\div 0.1^2 \implies 9.0073+0.07\div 0.01\) so \(9.0073+\cfrac{0.07}{0.01}\)

OpenStudy (anonymous):

so it becomes a fraction?

OpenStudy (anonymous):

so basically i use whats there?

OpenStudy (e.mccormick):

Well, it means the same thing. I am just showing it to point out what the \(\div\) symbol means.

OpenStudy (anonymous):

so that is the answer then right?

OpenStudy (e.mccormick):

No, it is the next step. Do the division and see what you get.

OpenStudy (anonymous):

i got 7

OpenStudy (e.mccormick):

Exactly! So now... \(9.0073+7\)

OpenStudy (e.mccormick):

One last step.

OpenStudy (anonymous):

16.0073

OpenStudy (anonymous):

is that the answer

OpenStudy (e.mccormick):

Yep! Parenthesis \(\leftarrow\) None so skipped Exponents \(\leftarrow\) Did that Multiplication and Division \(\leftarrow\) The one division Addition and Subtraction \(\leftarrow\) That last addition! All done just by going through PEMDAS.

OpenStudy (anonymous):

can you help with this i really appreciate it

OpenStudy (e.mccormick):

Same rules. What do you think you need to do first?

OpenStudy (anonymous):

parenthesis

OpenStudy (anonymous):

i got 6.994

OpenStudy (e.mccormick):

Yes. So you do evertyhging inside the ( ) first. Then rewrite the equation with that as something new based on what happens.

OpenStudy (anonymous):

ok

OpenStudy (e.mccormick):

OK. So, with the \((6.994)^2\div 2+8.4\times 0.8\) what happens now?

OpenStudy (anonymous):

the exponent

OpenStudy (e.mccormick):

Exactly. And that makes it?

OpenStudy (anonymous):

48.916036

OpenStudy (e.mccormick):

=) \(48.916036\div 2+8.4\times 0.8\) Next?

OpenStudy (e.mccormick):

And a side note here, Multiplicaton and Division happen at the same level of PEMDAS, so you do them left to right.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

19.5664144+8.4?

OpenStudy (e.mccormick):

Not sure how you got there. Perhaps hit a wrong key or two on a calculator? Lets look at just the division part for a moment. \(48.916036\div 2\) What is just that part?

OpenStudy (anonymous):

24.458018

OpenStudy (e.mccormick):

\(24.458018+8.4\times 0.8\) So now you need to look at the right side: \(8.4\times 0.8\) and get that part done.

OpenStudy (anonymous):

6.72

OpenStudy (e.mccormick):

Yes! That is doing Multiplication and Division left to right. We did the left part, then the right part, and now we have this: \(24.458018+6.72\)

OpenStudy (anonymous):

31.178018

OpenStudy (e.mccormick):

Yep! And that is it.

OpenStudy (anonymous):

your the best im going to you from now on

OpenStudy (e.mccormick):

Well, you did the work here!

OpenStudy (anonymous):

:)

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