# Math Is Fun Forum

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

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## #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?

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## #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
I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large
Fatboy Slim is a Legend

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## #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?

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

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

### Re: 1=0

it is now...

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

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## #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.

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

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

### Re: 1=0

killjoy

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

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## #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
I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large
Fatboy Slim is a Legend

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

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.

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## #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.

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## #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.

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## #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

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## #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.

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## #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!

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

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

MathsIsFun
Registered: 2005-01-21
Posts: 7,710

### 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

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## #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?

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## #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
I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large
Fatboy Slim is a Legend

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## #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.

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

MathsIsFun
Registered: 2005-01-21
Posts: 7,710

### 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

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

ganesh
Registered: 2005-06-28
Posts: 34,878

### 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 is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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## #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 ganesh (2009-01-25 02:54:01)

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

ganesh
Registered: 2005-06-28
Posts: 34,878

### 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 is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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

Member
Registered: 2009-02-22
Posts: 23

--  Boozer

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## #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.

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

ganesh
Registered: 2005-06-28
Posts: 34,878

### 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 is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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