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# Zero

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Sid B's project on zero

Sid B's project on zero

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• 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 Typewriters originally made no distinction in shape between O and 0; some models did not even have a separate key for the digit 0.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