Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2005-05-06 04:27:10

Roraborealis
Member
Registered: 2005-03-17
Posts: 1,594

1=0

6 to the power 4 is 6x6x6x6x1.
6 to the power 3 is 6x6x6x1.
6 to the power 2 is 6x6x1.
6 to the power 1 is 6x1.
6 to the power 0 is 1.

Therefore, every time we go down one, we lose a number on the end of each row.

So, 0 to the power 0 is 1.
What I don't get is that it's saying here that if you multiply zero by itself you get 1. In simpler terms one is equal to zero.


School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

Offline

#2 2005-05-06 04:30:13

Mr T
Member
Registered: 2005-03-30
Posts: 1,012

Re: 1=0

Anything to the power 0 is 1. No-one knows why but it just happens.


I come back stronger than a powered-up Pac-Man big_smile
I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large
cool Fatboy Slim is a Legend cool

Offline

#3 2005-05-07 20:35:49

Roraborealis
Member
Registered: 2005-03-17
Posts: 1,594

Re: 1=0

That's not me point.


School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

Offline

#4 2005-05-23 05:44:35

stewie
Member
Registered: 2005-03-28
Posts: 820

Re: 1=0

it is now... cool


HAPPY HAPPY, JOY JOY  big_smile
cool Fatboy Slim is the band of the 90s, thats if you want to call it a band because its really a one man name cool

Offline

#5 2005-05-23 08:08:15

Zach
Member
Registered: 2005-03-23
Posts: 2,075

Re: 1=0

No, it's not.


Boy let me tell you what:
I bet you didn't know it, but I'm a fiddle player too.
And if you'd care to take a dare, I'll make a bet with you.

Offline

#6 2005-05-23 08:27:47

stewie
Member
Registered: 2005-03-28
Posts: 820

Re: 1=0

killjoy sad


HAPPY HAPPY, JOY JOY  big_smile
cool Fatboy Slim is the band of the 90s, thats if you want to call it a band because its really a one man name cool

Offline

#7 2005-05-30 23:00:07

Mr T
Member
Registered: 2005-03-30
Posts: 1,012

Re: 1=0

i hope ur happy. u made stewie cry


I come back stronger than a powered-up Pac-Man big_smile
I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large
cool Fatboy Slim is a Legend cool

Offline

#8 2005-06-23 05:16:34

radjaguar
Member
Registered: 2005-06-23
Posts: 1

Re: 1=0

It is NOT saying that multiplying zero by itself will equal one. Just look at 6 to the power 0. There is no 6 in your equation, only a 1. The "6x" part has been "lost" as a "number on the end of each row".

You're multiplying zero, zero times, and in essence doing nothing at all. Since the default is one, the answer is one.

Roraborealis wrote:

6 to the power 4 is 6x6x6x6x1.
6 to the power 3 is 6x6x6x1.
6 to the power 2 is 6x6x1.
6 to the power 1 is 6x1.
6 to the power 0 is 1.

Therefore, every time we go down one, we lose a number on the end of each row.

So, 0 to the power 0 is 1.
What I don't get is that it's saying here that if you multiply zero by itself you get 1. In simpler terms one is equal to zero.

Offline

#9 2005-06-23 08:17:00

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: 1=0

Isn't the rule that x^0=1 when x =/= 0? (Sorry for the rubbish non-equal sign)


Why did the vector cross the road?
It wanted to be normal.

Offline

#10 2005-06-23 11:06:44

NIH
Member
Registered: 2005-06-14
Posts: 33

Re: 1=0

See What is 0 to the 0 power? for a good discussion of this topic.


2 + 2 = 5, for large values of 2.

Offline

#11 2005-06-23 23:23:57

ckvijayakumar
Member
Registered: 2005-06-23
Posts: 3

Re: 1=0

IDIOTIC,
x=0 raise to 0.taking log,
log x=log0 raise to 0 or
log x=0 log0
log x=0[since 0* any number = 0)
but, log 1=0
so, x=1

Offline

#12 2005-06-27 12:19:38

NIH
Member
Registered: 2005-06-14
Posts: 33

Re: 1=0

ckvijayakumar wrote:

... log x=0 log0...

The flaw in your proof is that the domain of the log function does not include 0.  In other words, log0 is undefined.


2 + 2 = 5, for large values of 2.

Offline

#13 2005-06-27 18:40:10

Roraborealis
Member
Registered: 2005-03-17
Posts: 1,594

Re: 1=0

Wheeeeeheeeeeee! I started off a good topic! big_smile


School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

Offline

#14 2005-06-27 19:32:01

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,713

Re: 1=0

Absolutely ... it is quite intriguing.

100000^0 = 1
        10^0 = 1
          1^0 = 1
0.00001^0 = 1
So,     0^0 = 1

BUT

0^10 = 0
0^1 = 0
0^0.00000001 = 0
So, 0^0 = 0

As it says in the mathforum article, it depends on which direction you come from!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#15 2005-06-28 03:10:21

Roraborealis
Member
Registered: 2005-03-17
Posts: 1,594

Re: 1=0

Aha.......I see. So there's more or less two sides..........


School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

Offline

#16 2005-06-28 06:42:34

Mr T
Member
Registered: 2005-03-30
Posts: 1,012

Re: 1=0

potentially


I come back stronger than a powered-up Pac-Man big_smile
I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large
cool Fatboy Slim is a Legend cool

Offline

#17 2005-06-30 05:16:57

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: 1=0

It's far easier to decide the value of 0^0^0.


Why did the vector cross the road?
It wanted to be normal.

Offline

#18 2005-06-30 09:51:52

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,713

Re: 1=0

Is it?

If you take the view that 0^0=0, then 0^0^0=0^0=0

If you take the view that 0^0=1, then 0^0^0=0^1=0

Haha, that is true!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#19 2005-06-30 18:18:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,367

Re: 1=0

0^0 is neither 0 nor 1;
it is simply not defined....
certain functions in mathematics are indeterminate,
like 0/0;
when the numerator of a number is zero, irrespective of the denominator(provided the denominator is not zero), the value is 0;
when the denominator of a number is 0, irrespecive of the numerator (provided numerator is not zero), the value is infinity


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#20 2009-01-25 01:34:54

1q2w3e4
Member
Registered: 2009-01-11
Posts: 10

Re: 1=0

0^0 = (0^1)/(0^1) = 0/0 = (0*1)/0 = 0*(1/0) = 0*infinity = 1 , because 1/0 = infinity!

Last edited by Jai Ganesh (2009-01-25 02:54:01)

Offline

#21 2009-01-25 03:02:53

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,367

Re: 1=0

Mr T wrote:

Anything to the power 0 is 1. No-one knows why but it just happens.

This is to fulfill the laws of exponents which state


We know
.

However,

or
or
or

are not defined.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#22 2009-02-24 17:00:59

LampShade
Member
Registered: 2009-02-22
Posts: 23

Re: 1=0


--  Boozer

Offline

#23 2019-12-25 20:33:10

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: 1=0

MathsIsFun wrote:

Absolutely ... it is quite intriguing.

100000^0 = 1
        10^0 = 1
          1^0 = 1
0.00001^0 = 1
So,     0^0 = 1

BUT

0^10 = 0
0^1 = 0
0^0.00000001 = 0
So, 0^0 = 0

As it says in the mathforum article, it depends on which direction you come from!

My humorous professor during college would say that statistically, the result is ½ since we add both results then take the average. That's what he said when he was discussing whether 0 divided by 0 equals 0 or 1.


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

Offline

#24 2019-12-25 20:46:56

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,367

Re: 1=0

Monox D. I-Fly wrote:
MathsIsFun wrote:

Absolutely ... it is quite intriguing.

100000^0 = 1
        10^0 = 1
          1^0 = 1
0.00001^0 = 1
So,     0^0 = 1

BUT

0^10 = 0
0^1 = 0
0^0.00000001 = 0
So, 0^0 = 0

As it says in the mathforum article, it depends on which direction you come from!

My humorous professor during college would say that statistically, the result is ½ since we add both results then take the average. That's what he said when he was discussing whether 0 divided by 0 equals 0 or 1.

0 or 1 may seem logical, not mathematical, strictly! It is Neither!


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

Board footer

Powered by FluxBB