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what is 10 to the negative third power?

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ccharles000 Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Jul-14-09 07:48 PM
Original message
what is 10 to the negative third power?
I really need to go over this stuff.
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Strong Atheist Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Jul-14-09 07:48 PM
Response to Original message
1. 0.001 nt.
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ccharles000 Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Jul-14-09 07:50 PM
Response to Reply #1
3. can you please explain?
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Strong Atheist Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Jul-14-09 08:07 PM
Response to Reply #3
6. Do my best. There are at least three ways to explain it, the easier way to
Edited on Tue Jul-14-09 08:26 PM by Strong Atheist
think of it invovles place value. When you have positive exponents, you are moving the decimal to add zero's after the one, like so:

10^1 = 10

10^2 = 100

10^3 = 1,000

10^4 = 10,000

and so on. There is a zero added for each exponent. Powers are nothing more than multiplying the base (in this case 10) by it self that many times. So,

10^2 = 10*10 = 100

10^3 = 10*10*10 = 1,000

and so on.


Now if we reverse it, so to speak, we get:

10^3 = 1,000

10^2 = 100

10^1 = 10

10^0 = 1 by definition; everything except 0 to the ^1 = one.

10^-1 = 0.1

10^-2 = 0.01

10^-3 = 0.001


We are shifting the decimal point in all of these examples; to the right for positives, to the left for negatives. Now, what is really happening with the negative powers is that you are multiplying the base with a fraction of itself (or, you are dividing instead of multiplying, which is what fractions are; division)

So

10^0 = 10* (1/10) = 1

10^-1 = 10* (1/100) = 0.1

10^-2 = 10* (1/1,000) = 0.01

10^-3 = 10* (1/10,000) = 0.001

and so on. I would think of it as shifting the decimal, for powers of ten...

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ccharles000 Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Jul-14-09 08:21 PM
Response to Reply #6
7. thanks
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Strong Atheist Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Jul-14-09 08:25 PM
Response to Reply #7
8. Welcome. nt.
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rug Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Jul-14-09 07:49 PM
Response to Original message
2. My current credt card rate.
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LeftyFingerPop Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Jul-14-09 07:53 PM
Response to Original message
4. Try this charles...
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Tangerine LaBamba Donating Member (1000+ posts) Send PM | Profile | Ignore Tue Jul-14-09 07:53 PM
Response to Original message
5. Here ya go .........
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