# Origins and history of the number system pdf

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## Hindu-Arabic numerals | History & Facts | contractorprofitzone.com

Students will explore the properties of number systems by effectively inventing a base-3 number system using circles, triangles and squares as the symbols instead of arabic numerals. Students are asked to create rules that explain how each arrangement of symbols can be generated or predicated as an orderly, logical series. The objective is to understand that you can represent any number with any agreed-upon set of symbols that appear in an agreed-upon order. This is as true for circles, triangle and squares as it is for the digits , or the number systems we commonly see in computer science binary and hexadecimal. Typically we see numbers represented in decimal base , binary base-2 , and hexadecimal base
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## Lesson 4: Number Systems

Roman numerals originated, as the name might suggest, in ancient Rome. The first usage of the symbols began showing up between and B. The numerals developed out of a need for a common method of counting, essential to communications and trade. Counting on one's fingers got out of hand, so to speak, when you reached So, a counting system was devised based on a person's hand. A single line, or "I," referred to one unit or finger; the "V" represented five fingers, specifically, the V-shape made by the thumb and forefinger.

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. They represented a profound break with previous methods of counting, such as the abacus , and paved the way for the development of algebra. Hindu-Arabic numerals. Article Media. Info Print Cite. Submit Feedback.

A numeral system or system of numeration is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems. For example, "11" represents the number eleven in the decimal numeral system used in common life , the number three in the binary numeral system used in computers , and the number two in the unary numeral system e. For example, the usual decimal representation of whole numbers gives every nonzero whole number a unique representation as a finite sequence of digits , beginning with a non-zero digit. However, when decimal representation is used for the rational or real numbers, such numbers, in general, have an infinite number of representations, for example 2.

Number and Algebra : Module 5 Years : PDF Version of module. Children learn to count before they learn to write numbers, just as they learn to speak before they learn to write words.
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