Nicely made Zero importance for class 9 feel free to take reference from it and link of the template is this https://poweredtemplate.com/02406/0/index.html
JOURNEY OF MATHS OVER A PERIOD OF TIME..................................Pratik Sidhu
DESCRIBES IN DETAIL ANCIENT AGE ,MEDIEVAL AND PRESENT AGE OF MATHS AND ALSO THE FAMOUS MATHEMATICIANS.REALLY AN AMAZING ONE WITH ANIMATED SLIDE DESIGND..............
History of Math is a project in which students worked together in learning about historical development of mathematical ideas and theories. They were exploring about mathematical development from Sumer and Babylon till Modern age, and from Ancient Greek mathematicians till mathematicians of Modern age, and they wrote documents about their explorations. Also they had some activities in which they could work "together" (like writing a dictionary, taking part in the Eratosthenes experiment, measuring and calculating the height of each other schools, cooperating in given tasks) and activities that brought out their creativity and Math knowledge (making Christmas cards with mathematical details and motives and celebrating the PI day). Also they were able to visit Museum, exhibition "Volim matematiku" and to prepare (and lead) workshops for the Evening of mathematics (Večer matematike). At the end they have presented their work to other students and teachers.
JOURNEY OF MATHS OVER A PERIOD OF TIME..................................Pratik Sidhu
DESCRIBES IN DETAIL ANCIENT AGE ,MEDIEVAL AND PRESENT AGE OF MATHS AND ALSO THE FAMOUS MATHEMATICIANS.REALLY AN AMAZING ONE WITH ANIMATED SLIDE DESIGND..............
History of Math is a project in which students worked together in learning about historical development of mathematical ideas and theories. They were exploring about mathematical development from Sumer and Babylon till Modern age, and from Ancient Greek mathematicians till mathematicians of Modern age, and they wrote documents about their explorations. Also they had some activities in which they could work "together" (like writing a dictionary, taking part in the Eratosthenes experiment, measuring and calculating the height of each other schools, cooperating in given tasks) and activities that brought out their creativity and Math knowledge (making Christmas cards with mathematical details and motives and celebrating the PI day). Also they were able to visit Museum, exhibition "Volim matematiku" and to prepare (and lead) workshops for the Evening of mathematics (Večer matematike). At the end they have presented their work to other students and teachers.
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The History of Algebra
The History of Algebra The history of algebra has been around for several decades, this method of mathematics has been used during the beginning of time. The development of algebraic notation progressed through out three stages: the rhetorical stage, the syncopated stage, and the symbolic stage with which we are use to using in our daily usage of algebra. In ancient civilization math was used to help leaders to strategically form how their troops should be lined up for battle and help decide how to attack their enemies. Algebra was used in the many of these civilizations: Egypt, Babylon, Greece, India, Europe, and most parts of the Middle East. In Egypt, the Egyptians used mathematics which included Algebra to solve equivalent to a...show more content...They also were able to prove that the quadratic equations have two roots, and included the negative as irrational roots. The Hindus used the astrology and astronomy to help determine directions in which they should live their lives as if it was an almanac. The Hindus used this method of algebraic equations to determine directions, farming, and behavior among their peers.
The Arabs in the Middle East helped improve the Hindus number symbols and was able to adopted the same method of algebraic reasoning as the Greeks they reject the negative solutions that the Hindus were using and would solve the quadratic equations by recognizing two solutions, possibly irrational. The algebra of the Arabs in the Middle East was entirely rhetorical and like the Hindus, the Arabs worked freely with irrationals. The Arabs used and improved the Hindus number symbols and the idea of positional notation. These numerals (the
The Impact of Artificial Intelligence on Modern Society.pdfssuser3e63fc
Just a game Assignment 3
1. What has made Louis Vuitton's business model successful in the Japanese luxury market?
2. What are the opportunities and challenges for Louis Vuitton in Japan?
3. What are the specifics of the Japanese fashion luxury market?
4. How did Louis Vuitton enter into the Japanese market originally? What were the other entry strategies it adopted later to strengthen its presence?
5. Will Louis Vuitton have any new challenges arise due to the global financial crisis? How does it overcome the new challenges?Assignment 3
1. What has made Louis Vuitton's business model successful in the Japanese luxury market?
2. What are the opportunities and challenges for Louis Vuitton in Japan?
3. What are the specifics of the Japanese fashion luxury market?
4. How did Louis Vuitton enter into the Japanese market originally? What were the other entry strategies it adopted later to strengthen its presence?
5. Will Louis Vuitton have any new challenges arise due to the global financial crisis? How does it overcome the new challenges?Assignment 3
1. What has made Louis Vuitton's business model successful in the Japanese luxury market?
2. What are the opportunities and challenges for Louis Vuitton in Japan?
3. What are the specifics of the Japanese fashion luxury market?
4. How did Louis Vuitton enter into the Japanese market originally? What were the other entry strategies it adopted later to strengthen its presence?
5. Will Louis Vuitton have any new challenges arise due to the global financial crisis? How does it overcome the new challenges?
This comprehensive program covers essential aspects of performance marketing, growth strategies, and tactics, such as search engine optimization (SEO), pay-per-click (PPC) advertising, content marketing, social media marketing, and more
2. 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.
3. 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
4. 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
5. 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.
6. Romans
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.
7. 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
8. • 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
9. 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
10. Spreading The News
Leonardo of Pisa,
known as Fibonacci
• Born 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
11. Importance of Zero
• It plays a central role in math.
i. As a additive identity
ii. in integers ,real nos. and other algebraic structures
iii. As a place holder in the place value system.
iv.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.
12. 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