1. UNIT QUESTIONS By: Faiza Khalid 1 2 6 5 4 3 78

2. HELLO, Ladies and Gentleman My name is faiza khalid. Today I will speak about ancients numbers systems. Mostly I will tell you Historical facts, how it Introduction to Europe and Expansion of math's. The Historical facts are going to be about Roman numbers, Greek numbers and Egyptian numbers. Historical facts number zero. How did the number Introduction to Europe? Facts, historical facts. How it came? Who invented number zero. E:T:C INTRODUCTION

3. Historical facts of Roman numbers HOW DO THE ROMAN NUMBERS WORK? These were the normal symbols, but they could only describe numbers up to 3999. The Romans combined their symbols, so VII meant 5+1+1 or seven. This is called a unary system. However, they found that IIII and VIIII were too confusing (for four and nine), so they introduced another idea. If the I comes after the V then you add it (VI is 6).

4. HOW DO THE GREEK NUMBER WORK? The symbols that the Greeks used were their letters. Unfortunately, this method of counting needs 27 letters, and there were only 24 in the Classical Greek alphabet. This meant that the Greeks had to find 3 extra symbols for the missing numbers of 6, 90 and 900. They used 3 archaic letters, which used to be in the alphabet but had been dropped as they were no longer required. The symbols were mostly the letters. The Greeks did not have a zero. They didn't need one. If you don't have any tens value, then you don't use one of the tens letters.

5. HOW DO THE EGYPTIAN NUMBERS WORK? Well mostly it likes the others. Using the shapes. They also have names for each shapes. This number system is mostly like roman numbers. Some people still use it. It doesn't have zero. It till 1,000,00 as you it in the pictures.

6. zero that number which, when added to any number, leaves the latter unchanged; its symbol is 0. The introduction of zero into the decimal system was the most significant achievement in the development of a number system in which calculation with large numbers was feasible. Without it, modern astronomy, physics, and chemistry would have been unthinkable as we know them. The lack of such a symbol was one of the serious drawbacks of Greek mathematics. Its existence in the West is probably due to the Arabs, who, having obtained it from the Hindus, passed it on to European mathematicians in the latter part of the Middle Ages. The Maya of Central America and probably the Babylonians also invented zero.

7. Fibonacci brought zero to Europe. Zero was spread by Arabians to the Europe and there on it was spread all over. Before this, all Europeans used roman numerical which were difficult to calculate on as they were in the form of Symbols, lengthy and had limits. It was first gone to Leonardo of Pisa. 0 ZERO 0

8. The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. Islamic mathematics, in turn, developed and expanded the mathematics known to these civilizations.

9. From this unit i have learned about acient’s number systhem and also about zero invention. How it make differences. How did Introduction to Expansion of math’s. how it made number system simple. I know now how math’s use to be ☺ THANK YOU ☺