SlideShare ist ein Scribd-Unternehmen logo
1 von 9
Zero The Natural Number By Siddhartha Bose
By the middle of the 2nd millennium BC, the Babylonian mathematicians  had a sophisticatedsexadecimalpositional numeral system. The lack of a positional value (or zero) was indicated by a space betweensexadecimalnumerals. By 300 BC, a punctuation symbol (two slanted wedges) was co-opted as a placeholder in the same Babylonian system. In a tablet unearthed at Kish (dating from about 700 BC), the scribe Bêl-bân-aplu wrote his zeros with three hooks, rather than two slanted wedges. The Babylonian placeholder was not a true zero because it was not used alone. Nor was it used at the end of a number. Thus numbers like 2 and 120 (2×60), 3 and 180 (3×60), 4 and 240 (4×60) looked the same because the larger numbers lacked a final sexadecimal placeholder. Only context could differentiate them. Zero’s History Sexadecimal: A numeral system basing at sixty.
Records show that the ancient Greeks seemed unsure about the status of zero as a number.  The concept of zero as a number and not merely a symbol for separation is attributed to India where by the 9th century AD practical calculations were carried out using zero, which was treated like any other number, even in case of division.    Zero’s Importance
The ellipse is the sign of nothing because it has nothing in it and outside. Traditionally, many print typefaces made the capital letter O more rounded than the narrower, elliptical digit 0. Typewriters originally made no distinction in shape between O and 0; some models did not even have a separate key for the digit 0. The distinction came into prominence on modern character displays. The opposing convention that has the letter O with a slash and the digit 0 without was advocated by SHARE, a prominent IBM user group,and recommended by IBM for writing FORTRAN programs. Why is Zero Shaped liked that?
In mathematics, there are two conventions for the set of natural numbers: it is either the set of positive integers {1, 2, 3, ...} according to the traditional definition or the set of non-negative integers {0, 1, 2, ...} according to a definition first appearing in the nineteenth century. Properties of the natural numbers related to divisibility, such as the distribution of prime numbers, are studied in number theory. Problems concerning counting and ordering, such as partition enumeration, are studied in combinatory. A Natural Number....
The sum of zero and a negative number is negative. The sum of zero and a positive number is positive. The sum of zero and zero is zero. The sum of a positive and a negative is their difference; or, if their absolute values are equal, zero. A positive or negative number when divided by zerois a fraction with the zero as denominator. Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero. The Rules of Brahmagupta
Define the word sexadecimal. Which country founded the concept of zero as a number ? Describe the differences between 0 and O. Give the two conventions of Natural Numbers. State two rules from the Brahmagupta. Activity
Thank You For Your Attention and if you have any questions please ask.
Bose, Rakhi. Personal interview. 30 Apr. 2010. Wikipedia. “Zero (number).” Wikpedia.org. N.p., 3 Mar. 2010. Web. 27 Apr. 2010. <http://en.wikipedia.org/‌wiki/‌Zero>. Zero;heroes. “zero’s history.” Zero Heros. N.p., Spring 2009. Web. 12 May 2010. <http://www.zeroheroes.org/‌html>. Bibliography

Weitere ähnliche Inhalte

Was ist angesagt?

History of hindu arabic numerals
History of hindu arabic numeralsHistory of hindu arabic numerals
History of hindu arabic numeralsAlfiramita Hertanti
 
Zero Importance for class 9
Zero Importance for class 9 Zero Importance for class 9
Zero Importance for class 9 anshulsawhney2
 
Number system in Mathematics
Number system in MathematicsNumber system in Mathematics
Number system in MathematicsS.M. Fazla Rabbi
 
Fibonacci The Man of Numbers
Fibonacci The Man of NumbersFibonacci The Man of Numbers
Fibonacci The Man of NumbersCha Mlln
 
Fibonacci
FibonacciFibonacci
Fibonaccijmuceda
 
Maths ppt by x d
Maths ppt by x dMaths ppt by x d
Maths ppt by x dalex john
 
Leonardo fibonacci
Leonardo fibonacciLeonardo fibonacci
Leonardo fibonacciAthira RL
 
History Of Mathematics
History Of MathematicsHistory Of Mathematics
History Of MathematicsBennet Hailink
 
Ancient Indian Mathematics And Astronomy
Ancient Indian Mathematics And AstronomyAncient Indian Mathematics And Astronomy
Ancient Indian Mathematics And AstronomyKalaimani Retnasamy
 
Foundations of mathematics
Foundations of mathematicsFoundations of mathematics
Foundations of mathematicsMark Mulit
 
History of Number Theory
History of Number TheoryHistory of Number Theory
History of Number TheoryVolkan Nazife
 
Indian contributions to mathematics
Indian contributions to mathematicsIndian contributions to mathematics
Indian contributions to mathematicsBhaskar Kamble
 

Was ist angesagt? (20)

Journey of zero by lalit kharb
Journey of zero by lalit kharbJourney of zero by lalit kharb
Journey of zero by lalit kharb
 
Zero: Origin
Zero: OriginZero: Origin
Zero: Origin
 
Zero
ZeroZero
Zero
 
Zero
ZeroZero
Zero
 
History of hindu arabic numerals
History of hindu arabic numeralsHistory of hindu arabic numerals
History of hindu arabic numerals
 
Math term paper
Math term paperMath term paper
Math term paper
 
Zero Importance for class 9
Zero Importance for class 9 Zero Importance for class 9
Zero Importance for class 9
 
Number system in Mathematics
Number system in MathematicsNumber system in Mathematics
Number system in Mathematics
 
Fibonacci The Man of Numbers
Fibonacci The Man of NumbersFibonacci The Man of Numbers
Fibonacci The Man of Numbers
 
History of Math
History of MathHistory of Math
History of Math
 
Fibonacci
FibonacciFibonacci
Fibonacci
 
Number Systems
Number SystemsNumber Systems
Number Systems
 
Maths ppt by x d
Maths ppt by x dMaths ppt by x d
Maths ppt by x d
 
Leonardo fibonacci
Leonardo fibonacciLeonardo fibonacci
Leonardo fibonacci
 
History Of Mathematics
History Of MathematicsHistory Of Mathematics
History Of Mathematics
 
Ancient Indian Mathematics And Astronomy
Ancient Indian Mathematics And AstronomyAncient Indian Mathematics And Astronomy
Ancient Indian Mathematics And Astronomy
 
Foundations of mathematics
Foundations of mathematicsFoundations of mathematics
Foundations of mathematics
 
History of Math
History of MathHistory of Math
History of Math
 
History of Number Theory
History of Number TheoryHistory of Number Theory
History of Number Theory
 
Indian contributions to mathematics
Indian contributions to mathematicsIndian contributions to mathematics
Indian contributions to mathematics
 

Mehr von ecooperms

Katrina math 7H
Katrina math 7HKatrina math 7H
Katrina math 7Hecooperms
 
Sky math challenge 7H
Sky math challenge 7HSky math challenge 7H
Sky math challenge 7Hecooperms
 
Ariyana probability final
Ariyana probability final Ariyana probability final
Ariyana probability final ecooperms
 
Nikhil number pattern formulas
Nikhil number pattern formulasNikhil number pattern formulas
Nikhil number pattern formulasecooperms
 
Tasnim probablility(ip)
Tasnim probablility(ip)Tasnim probablility(ip)
Tasnim probablility(ip)ecooperms
 
Andrea gravity
Andrea gravityAndrea gravity
Andrea gravityecooperms
 
Adam aryabhatta
Adam aryabhattaAdam aryabhatta
Adam aryabhattaecooperms
 
Amreet trig proj
Amreet trig projAmreet trig proj
Amreet trig projecooperms
 
Chae un simultaneous equation
Chae un simultaneous equationChae un simultaneous equation
Chae un simultaneous equationecooperms
 
Sebastian nielsen probability
Sebastian nielsen probabilitySebastian nielsen probability
Sebastian nielsen probabilityecooperms
 
Hyuk chan polyhedra
Hyuk chan polyhedraHyuk chan polyhedra
Hyuk chan polyhedraecooperms
 
Achint probability powerpoint
Achint probability powerpointAchint probability powerpoint
Achint probability powerpointecooperms
 
Pascal's Triangle slideshow
Pascal's Triangle slideshowPascal's Triangle slideshow
Pascal's Triangle slideshowecooperms
 
Binary number
Binary numberBinary number
Binary numberecooperms
 
Sol systems of equations
Sol systems of equationsSol systems of equations
Sol systems of equationsecooperms
 
Katie dtmathblockd
Katie dtmathblockdKatie dtmathblockd
Katie dtmathblockdecooperms
 
Taylor aarambh pi
Taylor aarambh piTaylor aarambh pi
Taylor aarambh piecooperms
 
Ejc My Computer Accounts
Ejc My Computer AccountsEjc My Computer Accounts
Ejc My Computer Accountsecooperms
 
Ejc My Computer Accounts
Ejc My Computer AccountsEjc My Computer Accounts
Ejc My Computer Accountsecooperms
 

Mehr von ecooperms (20)

Katrina math 7H
Katrina math 7HKatrina math 7H
Katrina math 7H
 
Sky math challenge 7H
Sky math challenge 7HSky math challenge 7H
Sky math challenge 7H
 
Ariyana probability final
Ariyana probability final Ariyana probability final
Ariyana probability final
 
Nikhil number pattern formulas
Nikhil number pattern formulasNikhil number pattern formulas
Nikhil number pattern formulas
 
Tasnim probablility(ip)
Tasnim probablility(ip)Tasnim probablility(ip)
Tasnim probablility(ip)
 
Andrea gravity
Andrea gravityAndrea gravity
Andrea gravity
 
Adam aryabhatta
Adam aryabhattaAdam aryabhatta
Adam aryabhatta
 
Amreet trig proj
Amreet trig projAmreet trig proj
Amreet trig proj
 
Alex l pi
Alex l piAlex l pi
Alex l pi
 
Chae un simultaneous equation
Chae un simultaneous equationChae un simultaneous equation
Chae un simultaneous equation
 
Sebastian nielsen probability
Sebastian nielsen probabilitySebastian nielsen probability
Sebastian nielsen probability
 
Hyuk chan polyhedra
Hyuk chan polyhedraHyuk chan polyhedra
Hyuk chan polyhedra
 
Achint probability powerpoint
Achint probability powerpointAchint probability powerpoint
Achint probability powerpoint
 
Pascal's Triangle slideshow
Pascal's Triangle slideshowPascal's Triangle slideshow
Pascal's Triangle slideshow
 
Binary number
Binary numberBinary number
Binary number
 
Sol systems of equations
Sol systems of equationsSol systems of equations
Sol systems of equations
 
Katie dtmathblockd
Katie dtmathblockdKatie dtmathblockd
Katie dtmathblockd
 
Taylor aarambh pi
Taylor aarambh piTaylor aarambh pi
Taylor aarambh pi
 
Ejc My Computer Accounts
Ejc My Computer AccountsEjc My Computer Accounts
Ejc My Computer Accounts
 
Ejc My Computer Accounts
Ejc My Computer AccountsEjc My Computer Accounts
Ejc My Computer Accounts
 

Kürzlich hochgeladen

Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17
Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17
Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17Celine George
 
What is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERPWhat is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERPCeline George
 
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSGRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSJoshuaGantuangco2
 
How to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPHow to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPCeline George
 
INTRODUCTION TO CATHOLIC CHRISTOLOGY.pptx
INTRODUCTION TO CATHOLIC CHRISTOLOGY.pptxINTRODUCTION TO CATHOLIC CHRISTOLOGY.pptx
INTRODUCTION TO CATHOLIC CHRISTOLOGY.pptxHumphrey A Beña
 
Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17Celine George
 
ENGLISH6-Q4-W3.pptxqurter our high choom
ENGLISH6-Q4-W3.pptxqurter our high choomENGLISH6-Q4-W3.pptxqurter our high choom
ENGLISH6-Q4-W3.pptxqurter our high choomnelietumpap1
 
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITYISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITYKayeClaireEstoconing
 
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdfAMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdfphamnguyenenglishnb
 
Proudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptxProudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptxthorishapillay1
 
4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptx4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptxmary850239
 
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️9953056974 Low Rate Call Girls In Saket, Delhi NCR
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTiammrhaywood
 
Karra SKD Conference Presentation Revised.pptx
Karra SKD Conference Presentation Revised.pptxKarra SKD Conference Presentation Revised.pptx
Karra SKD Conference Presentation Revised.pptxAshokKarra1
 
Full Stack Web Development Course for Beginners
Full Stack Web Development Course  for BeginnersFull Stack Web Development Course  for Beginners
Full Stack Web Development Course for BeginnersSabitha Banu
 
Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Celine George
 
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfInclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfTechSoup
 

Kürzlich hochgeladen (20)

Raw materials used in Herbal Cosmetics.pptx
Raw materials used in Herbal Cosmetics.pptxRaw materials used in Herbal Cosmetics.pptx
Raw materials used in Herbal Cosmetics.pptx
 
Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17
Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17
Incoming and Outgoing Shipments in 3 STEPS Using Odoo 17
 
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdfTataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
 
What is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERPWhat is Model Inheritance in Odoo 17 ERP
What is Model Inheritance in Odoo 17 ERP
 
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSGRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
 
How to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPHow to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERP
 
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptxYOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
YOUVE GOT EMAIL_FINALS_EL_DORADO_2024.pptx
 
INTRODUCTION TO CATHOLIC CHRISTOLOGY.pptx
INTRODUCTION TO CATHOLIC CHRISTOLOGY.pptxINTRODUCTION TO CATHOLIC CHRISTOLOGY.pptx
INTRODUCTION TO CATHOLIC CHRISTOLOGY.pptx
 
Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17
 
ENGLISH6-Q4-W3.pptxqurter our high choom
ENGLISH6-Q4-W3.pptxqurter our high choomENGLISH6-Q4-W3.pptxqurter our high choom
ENGLISH6-Q4-W3.pptxqurter our high choom
 
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITYISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
 
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdfAMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
 
Proudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptxProudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptx
 
4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptx4.18.24 Movement Legacies, Reflection, and Review.pptx
4.18.24 Movement Legacies, Reflection, and Review.pptx
 
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
 
Karra SKD Conference Presentation Revised.pptx
Karra SKD Conference Presentation Revised.pptxKarra SKD Conference Presentation Revised.pptx
Karra SKD Conference Presentation Revised.pptx
 
Full Stack Web Development Course for Beginners
Full Stack Web Development Course  for BeginnersFull Stack Web Development Course  for Beginners
Full Stack Web Development Course for Beginners
 
Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17
 
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdfInclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
Inclusivity Essentials_ Creating Accessible Websites for Nonprofits .pdf
 

Zero

  • 1. Zero The Natural Number By Siddhartha Bose
  • 2. By the middle of the 2nd millennium BC, the Babylonian mathematicians had a sophisticatedsexadecimalpositional numeral system. The lack of a positional value (or zero) was indicated by a space betweensexadecimalnumerals. By 300 BC, a punctuation symbol (two slanted wedges) was co-opted as a placeholder in the same Babylonian system. In a tablet unearthed at Kish (dating from about 700 BC), the scribe Bêl-bân-aplu wrote his zeros with three hooks, rather than two slanted wedges. The Babylonian placeholder was not a true zero because it was not used alone. Nor was it used at the end of a number. Thus numbers like 2 and 120 (2×60), 3 and 180 (3×60), 4 and 240 (4×60) looked the same because the larger numbers lacked a final sexadecimal placeholder. Only context could differentiate them. Zero’s History Sexadecimal: A numeral system basing at sixty.
  • 3. Records show that the ancient Greeks seemed unsure about the status of zero as a number. The concept of zero as a number and not merely a symbol for separation is attributed to India where by the 9th century AD practical calculations were carried out using zero, which was treated like any other number, even in case of division.   Zero’s Importance
  • 4. The ellipse is the sign of nothing because it has nothing in it and outside. Traditionally, many print typefaces made the capital letter O more rounded than the narrower, elliptical digit 0. Typewriters originally made no distinction in shape between O and 0; some models did not even have a separate key for the digit 0. The distinction came into prominence on modern character displays. The opposing convention that has the letter O with a slash and the digit 0 without was advocated by SHARE, a prominent IBM user group,and recommended by IBM for writing FORTRAN programs. Why is Zero Shaped liked that?
  • 5. In mathematics, there are two conventions for the set of natural numbers: it is either the set of positive integers {1, 2, 3, ...} according to the traditional definition or the set of non-negative integers {0, 1, 2, ...} according to a definition first appearing in the nineteenth century. Properties of the natural numbers related to divisibility, such as the distribution of prime numbers, are studied in number theory. Problems concerning counting and ordering, such as partition enumeration, are studied in combinatory. A Natural Number....
  • 6. The sum of zero and a negative number is negative. The sum of zero and a positive number is positive. The sum of zero and zero is zero. The sum of a positive and a negative is their difference; or, if their absolute values are equal, zero. A positive or negative number when divided by zerois a fraction with the zero as denominator. Zero divided by a negative or positive number is either zero or is expressed as a fraction with zero as numerator and the finite quantity as denominator. Zero divided by zero is zero. The Rules of Brahmagupta
  • 7. Define the word sexadecimal. Which country founded the concept of zero as a number ? Describe the differences between 0 and O. Give the two conventions of Natural Numbers. State two rules from the Brahmagupta. Activity
  • 8. Thank You For Your Attention and if you have any questions please ask.
  • 9. Bose, Rakhi. Personal interview. 30 Apr. 2010. Wikipedia. “Zero (number).” Wikpedia.org. N.p., 3 Mar. 2010. Web. 27 Apr. 2010. <http://en.wikipedia.org/‌wiki/‌Zero>. Zero;heroes. “zero’s history.” Zero Heros. N.p., Spring 2009. Web. 12 May 2010. <http://www.zeroheroes.org/‌html>. Bibliography