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ashkapoo
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 16 Apr 2006, 10:21
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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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giddi77
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 16 Apr 2006, 10:46
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ashkapoo
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)
Show more


Yes 0! = 1
0^0 is cannot be determined.
Zero is neither positive nor negative

A few more: (Disclaimer: Use these @your own risk. :wink: 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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Professor
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 16 Apr 2006, 10:54
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giddi77
ashkapoo
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. :wink: 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
Show more


agree with whole heart..... :cool
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ashkapoo
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 16 Apr 2006, 11:05
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Thanks giddi77... its crystal clear now! :)
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Zooroopa
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 18 Apr 2006, 00:41
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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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sm176811
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 18 Apr 2006, 00:48
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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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sm176811
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 18 Apr 2006, 00:50
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Zooroopa
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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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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Zooroopa
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 18 Apr 2006, 18:43
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sm176811
Zooroopa
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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The scientific calculators that I had, when I was a child, did not give 1!!!
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 19 Apr 2006, 07:55
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Even I tried with scientific calculator and it says

"Result of function is undefined"
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sm176811
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 19 Apr 2006, 10:06
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gmatacer
Even I tried with scientific calculator and it says

"Result of function is undefined"
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of 0!?


Seem to work for me on Windows and Casio 991fx
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Nayan
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 19 Apr 2006, 13:16
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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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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 19 Apr 2006, 13:35
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Nayan
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, 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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sheetal
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 20 Apr 2006, 16:11
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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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kapslock
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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 20 Apr 2006, 17:43
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sheetal
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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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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Few questions about Zero: 1) What is 0! (1?) 2) What is 0^0 20 Apr 2006, 18:48
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1) 0! = 1.
2) 0^0 --> I think it's undefined.
3) Zero is neither positive nor negative.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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Thank you for understanding, and happy exploring!