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Order of operations

Be careful with big problems!
by

Sam Billisits

on 19 November 2012

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Transcript of Order of operations

OR PERISH!!! Follow the order
of operations... Let's say you hit a problem, like 2^2+4/(3x4). We should use the order of operations. We should use pemdas which stands for Please Excuse my dear Aunt Sally. Just kidding. It represents Parenthesis, Exponets, Multplcation, Division, Addition, and then Subtration. However Please exuse my dear Aunt Sally is a good way to remember it. NOOOOOOO!!! FAILURE!!! first things first-2^2? Yes!!! you're moving along. 3x4=12. You do this part first because its in parenthesis. Anything that comes in parenthesis you do first. Do parenthesis first-(3x4)! Yes. Exponents follow parenthesis. You get 4. To do exponets you take the base which is two. I guess that doesn't really help here since there's 2 2's.Though, it it the first two not the second two.The exponet would usually be the two on top of the other two. To do this problem, you would take the base and multiply it by itself as many times as the exponent says. NOW Can we multiply 2^2? No! We divide 4 by 12.
We get a fraction, but a simple one:1/3. Also, since we don't have multiplecation without parenthesis, you would do multiplecation and division left to right if it occured in a different problem. You don't do multiplcation first all the time even though it comes first in pemdas. Do we add four now? So far:
2^2+4/(3x4)
has changed to
4+1/3.
almost done! 4/12 was 1/3,and we're getting pretty far as I said before. It's common sense to run from that two-legged
BULL!!! It's simple math:4+1/3=4 and 1/3. Also, you would do addition and subbraction from left to right like with division and multiplcation. Remember this: PEMDAS...
Parenthesis first, then:
Exponents
Multiplication AND
Division(M&D right to left)then
Addition AND
Subtraction(A&S right to left). Moral: A big problem may look like a maze, but the order of operations makes it look very simple. Problem:((2+5)^2-9x3)/2 This is the test. Did you not know there was one?
Just tell what to do next! To do first:5^2
for 25 Or to do first: (2+5)
for 7 What do you do first? Click and drag your way past the correct answer. Noooooo!!!
Wroooong! Correct!
Go on. What's next? 2-9
for -7 9x3
for 27 7^2
for 49 SO FAR:
(49-9x3)/2 GOOD! Now, what do we do third? 9x3
for 27 49-9 for 40 good!
we now have:
(49-27)/2. Almost done
here...
what now? 27/2 for
13.5 49-27 for
22 click
the
forwd.
arrow boss level! What's 22
divided by 2? OK, too easy.
That big, scary problem became tiny little 11.
You win! Pemdas will help you figure out how to do big problems. Now, as you can see pemdas is important, as we showed what it meant twice. Parenthesis Exponents Division Multiplcation Addition Subtraction Now, once more....
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