Mathematics
4 Online
OpenStudy (133):
Help Will Fan And Give Medal!!!!
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OpenStudy (133):
Simplify 10^6 Over 10^-3
A. 1 over 10^3
B. 1 Over 10^18
C. 10^3
D. 10^9
OpenStudy (133):
@Loser66 @FibonacciChick666 @blurbendy
OpenStudy (fibonaccichick666):
so, you have \[\frac{10^6}{10^{-3}}\] what does it mean to have a negative exponent?
OpenStudy (133):
Not sure.
OpenStudy (133):
@Loser66 @FibonacciChick666
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OpenStudy (133):
ok
OpenStudy (133):
A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side.
OpenStudy (133):
@ageta @12man
OpenStudy (fibonaccichick666):
ok, so what does that turn your problem into?
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OpenStudy (12man):
=2718281.828459orv/1000
OpenStudy (133):
Subtracting the exponents
OpenStudy (12man):
106
10−3
=
106
10−3
=106−(−3)
=109
=1000000000
OpenStudy (fibonaccichick666):
not quite, so you started with \[\frac{10^6}{10^{-3}}\]
so without computing anything, just rewrite the 10^-3
OpenStudy (133):
ok
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OpenStudy (12man):
10^9
OpenStudy (12man):
10^9 is the answer
OpenStudy (133):
So is it 1 Over 10^3 @FibonacciChick666
OpenStudy (12man):
no it is 10^9
OpenStudy (fibonaccichick666):
almost, yes, you can write just 10^-3 as 1 over 10^3, but let me put that into your equation and see if you can simplify it
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OpenStudy (fibonaccichick666):
\[\frac{10^6}{\frac{1}{10^3}}\]
OpenStudy (fibonaccichick666):
what do you do when you divide by a fraction?
OpenStudy (133):
Divide the top first.
OpenStudy (fibonaccichick666):
not quite, so there is a great little chant you should memorize, "Flip the second fraction AND......MULTIPLY!!"
OpenStudy (133):
Oh yeah!!
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OpenStudy (fibonaccichick666):
so, what does that become (it should only be one line)
OpenStudy (133):
10^3
OpenStudy (fibonaccichick666):
don't for get your 10^6 though
OpenStudy (fibonaccichick666):
so what does it become?
OpenStudy (133):
10^9
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OpenStudy (fibonaccichick666):
how? How did you get to that point, you skipped a step
OpenStudy (133):
I added 3+6 and got 9
OpenStudy (133):
@FibonacciChick666
OpenStudy (fibonaccichick666):
ok, so you should show why you are adding 3 and six in your step
OpenStudy (133):
Yeah Thanks!!!
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OpenStudy (fibonaccichick666):
ok np