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Maya numbers are based around the number 20, so in Maya numbers , 20 is a 1 and a 0. So write a dot for the 1 and leave a gap below it. Then below the gap, draw a clamshell – the Mayan symbol for zero. To write numbers from 21–39, think of them as 20 plus something.

The Babylonians used a base-sixty (sexigesimal) system . In this chapter, we wrap up with a specific example of a civilization that actually used a base system other than 10. The Mayan civilization is generally dated from 1500 BCE to 1700 CE.

The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.

Similar to the number system we use today , the Mayan system operated with place values. To achieve this place value system they developed the idea of a zero placeholder. The Mayan system is in base 20 (vigesimal) rather than base 10 (decimal). This system also uses a different digit representation.

The Babylonian cuneiform method of recording quantities, approximately 5000 years old, is among the oldest numeral systems in existence. They developed a base-60 (sexidecimal) system with numbers less than sixty represented in base-ten.

The Maya counting system required only three symbols: a dot representing a value of one, a bar representing five, and a shell representing zero . That the Maya understood the value of zero is remarkable – most of the world’s civilizations had no concept of zero at that time.

Two thousand years ago, the ancient Maya developed one of the most advanced civilizations in the Americas. They developed a written language of hieroglyphs and invented the mathematical concept of zero. With their expertise in astronomy and mathematics, the Maya developed a complex and accurate calendar system.

Pyramids were used not only as temples and focal points for Maya religious practices where offerings were made to the gods but also as gigantic tombs for deceased rulers, their partners, sacrificial victims, and precious goods.

Mysterious Decline of the Maya From the late eighth through the end of the ninth century, something unknown happened to shake the Maya civilization to its foundations. One by one, the Classic cities in the southern lowlands were abandoned, and by A.D. 900, Maya civilization in that region had collapsed.

Beginning in the 6th century BC with the Pythagoreans, with Greek mathematics the Ancient Greeks began a systematic study of mathematics as a subject in its own right. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

Aryabhata

Hindu-Arabic numerals, set of 10 symbols— 1 , 2, 3, 4, 5, 6, 7, 8, 9, 0—that represent numbers in the decimal number system. They originated in India in the 6th or 7th century and were introduced to Europe through the writings of Middle Eastern mathematicians, especially al-Khwarizmi and al-Kindi, about the 12th century.

Any number higher than 19 units in the second position is written using units of the third position. A unit of the third position is worth 400 (20 x 20), so to write 401 a dot goes in the first position, a zero in the second and a dot in the third.

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