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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 Firdaus
Presented 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 positiveActually, zero is neither a negative or a positive
number. The whole idea of positive and negativenumber. The whole idea of positive and negative
is defined in terms of zero. Negative numbersis defined in terms of zero. Negative numbers
are numbers that are smaller than zero, andare numbers that are smaller than zero, and
positive numbers are numbers that are biggerpositive numbers are numbers that are bigger
than zero. Since zero isn't bigger or smaller thanthan zero. Since zero isn't bigger or smaller than
itself (just like you're not older than yourself, oritself (just like you're not older than yourself, or
taller than yourself), zero is neither positive nortaller 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 ofIn most systems, 0 was identified before the idea of
negative things that go lower than zero was accepted. Zeronegative 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, itsZero is an even number. In other words, its parityparity—the—the
quality of an integer being even or odd—is even. Zero fitsquality 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 exhibitsIt is an integer multiple of 2. As a result, zero exhibits
the properties shared by all even numbers: 0 is evenlythe 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 can0 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 evenZero fits into the rules for sums and products of even
numbers, such asnumbers, such as even − even = eveneven − even = even, so any alternate, so any alternate
definition of "even number" would still need to includedefinition 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
The major source of this data is collected
through INTERNET as from following
websites:
WWW.Answerbag.com
WWW.Wikianswers.com
WWW.Wikipedia.com
WWW.Answer.com
WWW.Dr,math.com

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Zero is even or odd, Zero is positive or negative ?

  • 1. 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 Firdaus Presented 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]
  • 2. 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.
  • 3. Zero is positive or negativeZero is positive or negative Answer:-Answer:- Actually, zero is neither a negative or a positiveActually, zero is neither a negative or a positive number. The whole idea of positive and negativenumber. The whole idea of positive and negative is defined in terms of zero. Negative numbersis defined in terms of zero. Negative numbers are numbers that are smaller than zero, andare numbers that are smaller than zero, and positive numbers are numbers that are biggerpositive numbers are numbers that are bigger than zero. Since zero isn't bigger or smaller thanthan zero. Since zero isn't bigger or smaller than itself (just like you're not older than yourself, oritself (just like you're not older than yourself, or taller than yourself), zero is neither positive nortaller than yourself), zero is neither positive nor negative.negative.
  • 4. Zero is even or oddZero is even or odd In most systems, 0 was identified before the idea ofIn most systems, 0 was identified before the idea of negative things that go lower than zero was accepted. Zeronegative 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, itsZero is an even number. In other words, its parityparity—the—the quality of an integer being even or odd—is even. Zero fitsquality 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 exhibitsIt is an integer multiple of 2. As a result, zero exhibits the properties shared by all even numbers: 0 is evenlythe 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 can0 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 evenZero fits into the rules for sums and products of even numbers, such asnumbers, such as even − even = eveneven − even = even, so any alternate, so any alternate definition of "even number" would still need to includedefinition of "even number" would still need to include zero.zero.
  • 5. 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:
  • 6. CONCLOSION Firstly, zero is a even number due to bearing some properties of even numbers. Secondly, zero is a neutral number.
  • 7. References The major source of this data is collected through INTERNET as from following websites: WWW.Answerbag.com WWW.Wikianswers.com WWW.Wikipedia.com WWW.Answer.com WWW.Dr,math.com