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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 [#permalink]
 16 Apr 2006, 10:21
Few questions about Zero:
1) What is 0! (1?)
2) What is 0^0 (non-existent?)
3) Is Zero positive, negative or neither (I would guess that last choice)
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ashkapoo wrote: Few questions about Zero:
1) What is 0! (1?)
2) What is 0^0 (non-existent?)
3) Is Zero positive, negative or neither (I would guess that last choice)
Yes 0! = 1
0^0 is cannot be determined.
Zero is neither positive nor negative
A few more: (Disclaimer: Use these @your own risk.  These are based on what I found from the web)
Zero is even
For any integer k, k^0 = 1
Zero is divisible by every integer (except 0), Since remainder of 0/k = 0
Zero is a multiple of every integer. 0 = k*0
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- Bernard Edmonds
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giddi77 wrote: ashkapoo wrote: Few questions about Zero:
1) What is 0! (1?)
2) What is 0^0 (non-existent?)
3) Is Zero positive, negative or neither (I would guess that last choice) Yes 0! = 1 0^0 is cannot be determined. Zero is neither positive nor negative A few more: (Disclaimer: Use these @your own risk. These are based on what I found from the web) Zero is even For any integer k, k^0 = 1 Zero is divisible by every integer (except 0), Since remainder of 0/k = 0 Zero is a multiple of every integer. 0 = k*0 agree with whole heart..... 
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Intern
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Thanks giddi77... its crystal clear now! 
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Manager
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One reason why 0^0 is not determinable could be explained in this fashion -
0^0 = 0^x/0^x (x not equal to 0) = 0/0 (which is indeterminable).
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Thanks,
Zooroopa
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1) What is 0! == 1
2) What is 0^0 == 1
3) Is Zero positive, negative or neither = Its NEITHER!
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Zooroopa wrote: One reason why 0^0 is not determinable could be explained in this fashion -
0^0 = 0^x/0^x (x not equal to 0) = 0/0 (which is indeterminable).
Its is determinable!! Try entering it in a scientific calculator (windows calculator has scientific mode) you will get 1!
And, yeah ur logic is correct!
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Manager
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sm176811 wrote: Zooroopa wrote: One reason why 0^0 is not determinable could be explained in this fashion -
0^0 = 0^x/0^x (x not equal to 0) = 0/0 (which is indeterminable). Its is determinable!! Try entering it in a scientific calculator (windows calculator has scientific mode) you will get 1! And, yeah ur logic is correct! The scientific calculators that I had, when I was a child, did not give 1!!!
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Zooroopa
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Senior Manager
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Even I tried with scientific calculator and it says
"Result of function is undefined"
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gmatacer wrote: Even I tried with scientific calculator and it says
"Result of function is undefined"
of 0!?
Seem to work for me on Windows and Casio 991fx
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Manager
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Can somebody explain this?
Zero is divisible by every integer (except 0), Since remainder of 0/k = 0
Suppose 0/2
Quotient 0 and reminder 2.
Is this right?
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Nayan wrote: Can somebody explain this?
Zero is divisible by every integer (except 0), Since remainder of 0/k = 0
Suppose 0/2
Quotient 0 and reminder 2.
Is this right?
Nayan, in division,
Number = Divisor * Quotient + Remainder
In case of 0/2, Number = 0, Divisor = 2.
Since 0 = 2*0 + 0, we have Quotient = 0 and Remainder = 0.
Does that help?
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0^0 is 1 because, any number to the power 0 is always 1.
For example 2^0 = 1; -1^0 = 1; So is 0^0 = 1
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sheetal wrote: 0^0 is 1 because, any number to the power 0 is always 1.
For example 2^0 = 1; -1^0 = 1; So is 0^0 = 1
Any number (excluding 0) has n^0 = 1 for this reason:
(its not an axiom, its a provable theorem).
n^2 = n^3/n
n^1 = n^2/n
n^0 = n^1/n = n/n = 1.
So 5^0 = 5/5 = 1.
0^0 is undefined.
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Who says elephants can't dance?
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1) 0! = 1.
2) 0^0 --> I think it's undefined.
3) Zero is neither positive nor negative.
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