Assignment # 1Assignment # 1

Topic:-Topic:- Zero is positive or negative.Zero is positive or negative. Zero is even or odd.Zero is even or odd.Submitted to:Submitted to:

Sir Atif FirdausSir Atif FirdausPresented ByPresented By::

MALIK GHULAM MURTZAMALIK GHULAM MURTZA

Roll No: 9226Roll No: 9226 Department of Computer ScienceDepartment of Computer Science

Garrison Post Graduate College [M]Garrison Post Graduate College [M]

EARLY HISTORY

The nr. zero was invented independently in India and by the Maya. In India a decimal system was used, like ours, but they used an empty space for zero up to 3rdCentury BC. Then after Maya invented the number zero for their calendars in the 3rd century AD.

Zero is positive or negativeZero is positive or negative

Answer:- Answer:- Actually, zero is neither a negative or a positive Actually, zero is neither a negative or a positive

number. The whole idea of positive and negative number. The whole idea of positive and negative is defined in terms of zero. Negative numbers is defined in terms of zero. Negative numbers are numbers that are smaller than zero, and are numbers that are smaller than zero, and positive numbers are numbers that are bigger positive numbers are numbers that are bigger than zero. Since zero isn't bigger or smaller than than zero. Since zero isn't bigger or smaller than itself (just like you're not older than yourself, or itself (just like you're not older than yourself, or taller than yourself), zero is neither positive nor taller than yourself), zero is neither positive nor negative. negative.

Zero is even or oddZero is even or odd In most systems, 0 was identified before the idea of In most systems, 0 was identified before the idea of

negative things that go lower than zero was accepted. Zero negative things that go lower than zero was accepted. Zero is even number because it is divisible by 2.is even number because it is divisible by 2.

Explanation:- Explanation:- Zero is an even number. In other words, its Zero is an even number. In other words, its parityparity—the —the

quality of an integer being even or odd—is even. Zero fits quality of an integer being even or odd—is even. Zero fits the definition of "even number“ as:the definition of "even number“ as:

It is an integer multiple of 2. As a result, zero exhibits It is an integer multiple of 2. As a result, zero exhibits the properties shared by all even numbers: 0 is evenly the properties shared by all even numbers: 0 is evenly divisible by 2.divisible by 2.

0 is surrounded on both sides by odd integers,0 is surrounded on both sides by odd integers, 0 is the sum of an integer with itself, and 0 objects can 0 is the sum of an integer with itself, and 0 objects can

be split into two equal groups. be split into two equal groups. Zero fits into the rules for sums and products of even Zero fits into the rules for sums and products of even

numbers, such as numbers, such as even − even = eveneven − even = even, so any alternate , so any alternate definition of "even number" would still need to include definition of "even number" would still need to include zero. zero.

WHY ZERO IS EVEN "In mathematics, the parity of an object refers to whether it is even or

odd.

The formal definition of an odd number is an integer of the form n=2k +1, where k is an integer. The definition of an even number is n=2k where k is an integer.

Any integer is either even or odd according to the following rules: If it is a multiple of two, it is an even number; otherwise, it is an odd number. Examples of even numbers are −4, 8, 0, and 42. Examples of odd numbers are −3, 9, 1, and 5. The set of even numbers can be written:

Evens = 2Z = {..., −6, −4, −2, 0, 2, 4, 6, ...}. The set of odd numbers can be shown like this:

Odds = 2Z + 1 = {..., −5, −3, −1, 1, 3, 5, ...}. "Source and further information:

CONCLOSION

Firstly, zero is a even number due to bearing some properties of even numbers.

Secondly, zero is a neutral number.

References

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WWW.Answerbag.com WWW.Wikianswers.com WWW.Wikipedia.com WWW.Answer.com WWW.Dr,math.com