The Number 0

[harpazo]

Is the number 0 even or odd? Positive or negative? How do we justify the answer?

 

[tkhunny]

As always, what are the DEFINITIONS of "positive" and "negative"?

 

[harpazo]

As always, what are the DEFINITIONS of "positive" and "negative"?

Negative numbers are numbers that are less than zero. Positive numbers are numbers that are greater than zero.

 

[Deleted member 4993]

Negative numbers are numbers that are less than zero. Positive numbers are numbers that are greater than zero.

So according to the definition above, zero is neither positive nor negative.

To paraphrase tkhunny above:

As always, what are the DEFINITIONS of "odd numbers" and "even numbers"?

 

[harpazo]

So according to the definition above, zero is neither positive nor negative.

To paraphrase tkhunny above:

As always, what are the DEFINITIONS of "odd numbers" and "even numbers"?

I found the following definitions online:

“Even numbers are those numbers which are divisible by 2 and odd numbers which are not divisible by two”.

“Even numbers are those which when divided by 2 leaves no remainder or as 0 and Odd numbers are those numbers which when divided by 2 leaves a remainder of 1”.

 

[Deleted member 4993]

I found the following definitions online:

“Even numbers are those numbers which are divisible by 2 and odd numbers which are not divisible by two”.

“Even numbers are those which when divided by 2 leaves no remainder or as 0 and Odd numbers are those numbers which when divided by 2 leaves a remainder of 1”.

Well then - according to that definition, 0 is an even number.

 

[harpazo]

Well then - according to that definition, 0 is an even number.

Ok. Zero is an even number. To the Mayans (who invented the concept of 0), the definition of 0 is THE ABSENCE OF VALUE. Do you agree? Can we truly say that 0 has no value?

 

[Deleted member 4993]

Ok. Zero is an even number. To the Mayans (who invented the concept of 0), the definition of 0 is THE ABSENCE OF VALUE. Do you agree? Can we truly say that 0 has no value?

According to Indian mathematical concepts, 0 is a place marker - like in 10, 100, etc.

 

[harpazo]

According to Indian mathematical concepts, 0 is a place marker - like in 10, 100, etc.

I guess we can go on all day talking about the number 0. It must have a long history of data for sure.

 

[harpazo]

Check this out:

Properties of zero

Get a thorough understanding of the properties of zero right here on this website. Learn also about other properties of numbers

www.basic-mathematics.com

 

[Deleted member 4993]

I guess we can go on all day talking about the number 0. It must have a long history of data for sure.

And that has been done in some mathematical conferences.

 

[Otis]

Is the number 0 even or odd? Positive or negative?

Five years of algebra review, and this is where you're at now?

 

[harpazo]

Five years of algebra review, and this is where you're at now?

I know about zero. It is a question for my nephew who is starting to learn real numbers.

 

[Otis]

I know about zero. It is a question for my nephew who is starting to learn real numbers.

Alright. But if you already know, then why is it necessary to start a thread here in order to tutor your nephew?

 

[pka]

It is almost universally agreed by historians of mathematics that the zero was the result of 'sand table calculations".
These were used in the near east throughout the South Asian world.
When one removed to zero stone the impression in the sand was the shape O.
This image began to show-up in written form the first century BCE.