The other historical answers here are very good, but I would like to add a small footnote...
The Hindu numerals, and hence the concept of zero, were introduced to medieval Europe early in the 13th century by Leonardo Fibonacci. Within a remarkably short time this numbering system became the foundation of western science, engineering, finance, and commerce. As Europeans began to conquer the world (generally not a beneficial thing), they spread western math, including the concept of zero, around the world (generally a beneficial thing).
ASIDE TO robert: a=b so a-b = 0. Therefore your fifth step is invalid, as it requires dividing by zero, which is a major no-no.
2006-06-14 05:23:57
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answer #1
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answered by BalRog 5
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4>story and invention of zero?
Ans>The late Olmec people of south-central Mexico began to use a zero digit (a shell glyph) in the New World possibly by the 4th century BC but certainly by 40 BC, within a vigesimal (base-20) positional numeral system. It became an integral part of Maya numerals, but did not influence Old World numeral systems.
By 130, Ptolemy, influenced by Hipparchus and the Babylonians, was using a symbol for zero (a small circle with a long overbar) within a sexagesimal numeral system otherwise using alphabetic Greek numerals. Because it was used alone, not just as a placeholder, this Hellenistic zero was perhaps the first documented use of a number zero in the Old World. However, the positions were usually limited to the fractional part of a number (called minutes, seconds, thirds, fourths, etc.)—they were not used for the integral part of a number. In later Byzantine manuscripts of his Syntaxis Mathematica (Almagest), the Hellenistic zero had morphed into the Greek letter omicron (otherwise meaning 70).
Another zero was used in tables alongside Roman numerals by 525 (first known use by Dionysius Exiguus), but as a word, nulla meaning nothing, not as a symbol. When division produced zero as a remainder, nihil, also meaning nothing, was used. These medieval zeros were used by all future medieval computists (calculators of Easter). An isolated use of their initial, N, was used in a table of Roman numerals by Bede or a colleague about 725, a zero symbol.
In 498, Indian mathematician and astronomer Aryabhata stated that "Stanam stanam dasa gunam" or place to place in ten times in value, which may be the origin of the modern decimal based place value notation; his positional number system included a zero in his letter code for numerals (which allowed him to express numbers as words) in his mathematical astronomy text Aryabhatiya.[5] In the Bakhshali Manuscript, whose date is uncertain but which is believed by some scholars to pre-date Aryabhata, zero is symbolized and used as a number; if the early dating is accepted, it would also predate Brahmagupta.
The first unambiguous use of a decimal zero and the rules governing its use appear in Brahmagupta's Brahmasphuta Siddhanta, along with consideration of negative numbers and the algebraic rules discussed below. By the 7th century, when Brahmagupta lived, some concept of zero had clearly reached Cambodia, and documentation shows the idea later spreading to China and the Islamic world.
2006-06-14 11:52:11
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answer #2
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answered by Anonymous
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The late Olmec people of south-central Mexico began to use a zero digit (a shell glyph) in the New World possibly by the 4th century BC but certainly by 40 BC, within a vigesimal (base-20) positional numeral system. It became an integral part of Maya numerals, but did not influence Old World numeral systems.
By 130, Ptolemy, influenced by Hipparchus and the Babylonians, was using a symbol for zero (a small circle with a long overbar) within a sexagesimal numeral system otherwise using alphabetic Greek numerals. Because it was used alone, not just as a placeholder, this Hellenistic zero was perhaps the first documented use of a number zero in the Old World. However, the positions were usually limited to the fractional part of a number (called minutes, seconds, thirds, fourths, etc.)—they were not used for the integral part of a number. In later Byzantine manuscripts of his Syntaxis Mathematica (Almagest), the Hellenistic zero had morphed into the Greek letter omicron (otherwise meaning 70).
Another zero was used in tables alongside Roman numerals by 525 (first known use by Dionysius Exiguus), but as a word, nulla meaning nothing, not as a symbol. When division produced zero as a remainder, nihil, also meaning nothing, was used. These medieval zeros were used by all future medieval computists (calculators of Easter). An isolated use of their initial, N, was used in a table of Roman numerals by Bede or a colleague about 725, a zero symbol.
In 498, Indian mathematician and astronomer Aryabhata stated that "Stanam stanam dasa gunam" or place to place in ten times in value, which may be the origin of the modern decimal based place value notation; his positional number system included a zero in his letter code for numerals (which allowed him to express numbers as words) in his mathematical astronomy text Aryabhatiya.[5] In the Bakhshali Manuscript, whose date is uncertain but which is believed by some scholars to pre-date Aryabhata, zero is symbolized and used as a number; if the early dating is accepted, it would also predate Brahmagupta.
The first unambiguous use of a decimal zero and the rules governing its use appear in Brahmagupta's Brahmasphuta Siddhanta, along with consideration of negative numbers and the algebraic rules discussed below. By the 7th century, when Brahmagupta lived, some concept of zero had clearly reached Cambodia, and documentation shows the idea later spreading to China and the Islamic world.
2006-06-14 11:49:23
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answer #3
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answered by shirwanydow1986 1
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It's remarkable when you get thinking that we have a word and concept for something that is the absence of something. It's like, in order to know zero, you have to know "one." And zero is the not having of at least one of the "one" things.
Very yin yang-ey and zen.
I think zero is as old as the egyptians and possibly the mayan (incas?) which devised a counting system using small blocks or something like that!
2006-06-14 11:50:45
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answer #4
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answered by Peter in La Jolla San Diego CA 4
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I don't know all the facts, but as i recall it was the ancient Mayan culture who first realized the concept of "zero" in mathematic equations to represent a quotient of "nothing". There was no known symbol or representation of "nothing" so an ancient problem might have looked like this.....3 - 3= ? instead of "0" being used.
2006-06-14 11:47:42
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answer #5
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answered by bigvol662004 6
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zero was invented by the indians(hindustanis).they thought the use of zeros to the arabics which in turn thought it to the europeans.this is how the world came to know abt it.
2006-06-14 12:08:38
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answer #6
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answered by AJParag 1
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Theorem : All numbers are equal to zero.
Proof: Suppose that a=b. Then
a = b
a^2 = ab
a^2 - b^2 = ab - b^2
(a + b)(a - b) = b(a - b)
a + b = b
a = 0
Furthermore if a + b = b, and a = b, then b + b = b, and 2b = b, which mean that 2 = 1.
2006-06-14 12:56:29
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answer #7
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answered by Robert B 4
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