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Mathematics 14 Online
22west:

More help

22west:

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22west:

@dude

dude:

PEMDAS

22west:

Parenthesis, Exponents, Multiplication and Division left to right, Addition and Subtraction left to right

22west:

Please Excuse My Dear Aunt Sally

dude:

Right

dude:

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dude:

So start with parenthesis

22west:

4 * 6 = 24

dude:

Yes

TheSmartOne:

Essentially exponents (not scientific notation) works like this 3^2 = 3 * 3 3 times 3 for a total of two times 3^3 = 3 * 3 * 3 3^4 = 3 * 3 * 3 * 3 Do you see how it works?

22west:

Yeah but the negatives are like 3^-1

TheSmartOne:

Now when you have the negative number in the exponent (that's what that tiny number on top is called) you have to do a flip 2^(-1) -1 is the exponent 2 is the base 2^-1 = 1/(2^1) 2^(-2) = 1/(2^2)

dude:

Use latex

TheSmartOne:

So basically what you do when you have a negative is that you make it a fraction with 1 on top and put the thing on the bottom with a positive exponent

TheSmartOne:

I would but I'm too lazy to do it

22west:

What's latex?

TheSmartOne:

\(\LaTeX\)

TheSmartOne:

\(\Large \sf \color{red}{a}^{\color{blue}{b}}\) a is the base b is the exponent

22west:

Okay

TheSmartOne:

\(\Large \sf a^{-b} = \frac{1}{a^b}\)

dude:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @TheSmartOne Now when you have the negative number in the exponent (that's what that tiny number on top is called) you have to do a flip \(2^{-1}\) -1 is the exponent 2 is the base \(2^{-1} = \frac{1}{2^1}\) \(2^{-2} = \frac{1}{2^2}\) \(\color{#0cbb34}{\text{End of Quote}}\)

22west:

OHHHH

TheSmartOne:

Do you see how the negative goes away and that piece goes in the denominator

22west:

Yeah

22west:

Yeah

TheSmartOne:

Then you're all set

22west:

\[3^{-1} = \frac{ 1 }{ 3^{1} }?\]

TheSmartOne:

bingo

22west:

So just put that in the box?

TheSmartOne:

Well multiply all the stuff and follow pemdas and simplify it down

22west:

\[0.999999999999\]

22west:

Right?

TheSmartOne:

Uhhhhhh don't convert the fractions in to a decimal Just leave them as a fraction and you'll get a nice number that's correct but for now just round that number to the nearest whole number to get the correct answer 0.999999 isn't really correct but bc you made it into a decimal you got that nice long repeating decimal

22west:

So what is it?

AdiGirl:

think of wha he said west

TheSmartOne:

Are you kidding me

TheSmartOne:

For now, just round \( 0.\overline{999}\) to the nearest whole number

kittybasil:

No asking for answers ( ͡° ͜ʖ ͡°)

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