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Slide Content
Zero a Important Discovery
Discovery Of Zero Zero was first discovered by Indian Mathematician Aryabhata around 520AD. By the Middle Ages, around the early 1200’s, this concept had come to Western society.
Before Zero Numbers were used for thousands of years before they used zero Historical records show different path towards the concept Zero made appearances only to vanish again Mathematicians were searching for it ,yet did not recognize its fundamental significance
Egyptians Egyptian Number system were used as early as 3500 B.C.E. Egypt Number system did not have or need a zero. Even without zero, Egyptians were masters of Mathematics. Their Number system contained icons to represent certain numbers and that icon was repeatedly used to represent the bigger number like 4200 is represented by
Greeks The Greeks came up with a new and better number system and brought mathematics to its highest point in ancient times around 500 BC. It was much more sophisticated system. It was made it so that letter was not repeated. Greeks also didn’t had zero and used a different symbol to represent each number.
Roman s The Romans also had a number system and it is still used in modern life. It was earlier less sophisticated than Egyptian’s system. In Roman’s system they use repeated number like 4505 requires 10 words to represent the number in Roman number system MMMMCCCCCV.
Even these number systems were sophisticated without the zero but still they weren’t advanced and people were lacking arithmetic and accounting behind because of lack of zero. So the India mathematician Aryabhata finded out the importance and need of zero at first it was represented by a dot and was called empty By 500 C.E., the Hindus use a small circle to represent Zero! This circle was recognized as a numeral Invention of zero
Arabic people recognized the value of the Hindu system They adapted the numerals and computation Then spread the ideas in their travels The zero was named with the Arabic word sifz The actual word “zero” came from Italy Hindu-Arabic Numerals
Europeans resisted Hindu-Arabic numerals It seemed strange to them The numerals, including zero, were not accepted Florence, Italy, passed a law prohibiting the use of the numerals 0 could be changed to look like 6 or 9 Slowly, the numbers became accepted Zero Slowly got accepted
Spreading The News Leonardo of Pisa, known as Fibonacci B orn to a merchant family living in North Africa Learned Hindu-Arabic numerals from his Arabic tutors He brought the news of zero and new computational methods to Europe in his book
Importance of Zero It plays a central role in math. As a additive identity in integers ,real nos. and other algebraic structures As a place holder in the place value system. It has been called a natural no and has a special role in measuring of physical quantities. In the real-number system, 0 is the only number that is neither negative nor positive. It represents the boundary between the negative and the positive numbers. This property makes the natural starting point, or origin, on many scales, as on the coordinate axes and on thermometers.
Zero is special If we add 0 to any number, the sum is the original number Same is true for subtraction If you multiply any number by 0, the product is 0 If you raise any nonzero number to the power of 0, the resulting number is 1 If you divide 0 by any nonzero, the quotient is 0 Any number divided by 0 is undefined