What did Fibonacci do related to decimals? FAST!!!!!!!!!!!! EASY BEST ANSWER!!!!!!?

Question

I am doing a book report due tomorrow (1-19-11). It is on Fibonacci. What did he do related to decimals. I know he made that sequence thing but what about decimals. I will pick best answer to who helps me. please please please help me!!!!!!! i am only half way done and it is 8pm!!! due tomorrow!!

Answer 1

Fibonacci is the series of decimals which has its start decimals as 0 and 1



A Fibonacci series goes like this

0 1 1 2 3 5 8 13 21 34 55 89 .......



0 +1 = 1

1 + 1=2

2 + 1=3...



Applications:



Fibonacci series are used in several applications like Euclid's algorithm to find the GCD of two numbers, as a network topology in parallel computing, as pseudo random number generators ..



In Nature:



Fibonacci sequences appear in biological settings in two consecutive Fibonacci numbers, such as branching in trees, arrangement of leaves on a stem, the fruitlets of a pineapple,the flowering of artichoke, an uncurling fern and the arrangement of a pine cone.



Also, most daisies have 34, 55 or 89 petals



Another appearance of the Fibonacci Series in seedheads like the one shown above, pincones, pineapples, etc., is that the number of spirals going in each direction is a Fibonacci Number







I

Answer 2

from Wikipedia:



In the Liber Abaci (1202), Fibonacci introduces the so-called modus Indorum (method of the Indians), today known as Arabic numerals (Sigler 2003; Grimm 1973). The book advocated numeration with the digits 0–9 and place value. The book showed the practical importance of the new numeral system, using lattice multiplication and Egyptian fractions, by applying it to commercial bookkeeping, conversion of weights and measures, the calculation of interest, money-changing, and other applications. The book was well received throughout educated Europe and had a profound impact on European thought.

Answer 3

If you look at the ratio of successive integers; like 1/2, 2/3, 3/5, 5/8, 8/13, 13/21,.......you will arrive at the Golden ratio which, when trying to find the optimum point on a line/interval that is divided into two segments the ratio says that the ratio of the shorter segment to the longer segment should be the same as the ratio of the longer segment is to the entire interval. It's part of the GOLDEN SECTION SEARCH technique to find an optimum for an objective function.

Answer 4

He created the decimal system using 0-9 instead of roman numerals that was used in the past.



See this article to help in your book report:

http://math.about.com/od/mathematicians/a/fibonacci.htm