MathFoundations6: The Hindu-Arabic number system

[ruwanraj]

to do multiplication and division. Some methods for multiplication was door junction method, killing numbers method, Gosutrika method of Brahamgupta etc,...so the decimal system grew hand in hand with arithmetic. Its a very interesting story and hope a person like yourself could write a book on that subject. How decimal system evolved over time with in conjunction with arithmetic....

[ruwanraj]

Contd...) Similary Indian system was additive in the begining during King Asokas time. People did arithmetic very difficult way. Then came word numerals. words were used for numbers. Then arithemetic was done based on that system. Then came a system called varga avraga sytem developed by Aryabhatta.  Then there was the katayapadi system. Arithmetic and decimal system grew together. Even after new system was perfected by the time Brahmagupta there was many different ways (Cont...)

[ruwanraj]

Hi Norman...Your videos are great. There is a small suggestion. It wasnt like decimal system came and everybody start doing arithmetic easily. Lets look an example. 20 years ago there was a video game called Tetris. very simple one with boxes moving around. Then better computers came and video industry had better games. Demand from video industry prompted the computer manufacturers to build machines with more memory and better processor. They grew together. (Contd...)

[earthdome111]

hello?! V!!!!!

this guy is oblivious!

[StuballScramble]

@earthdome111 Why is he "oblivious"? He has a PhD from Yale, I think he's hear of "V". He's deliberately simplifying it to highlight the use of ten and its powers, as that is the basis of the Hindu-Arabic system which this video aims to introduce. It is not an in-depth discussion of Roman Numerals.

[earthdome111]

hello?! V!!!!!

[roosoo2]

north africans are arabs and the arabs

brought it to north africa

[soulira55]

What's called Hindu_Arabic numbers, are actually from north africa, where they have been used and still using only these numbers (0,1,2,3,4,5,6,7,8,9). A pope brought from north africa to europe.

But definatly not Indian with all my respect to the grat indian civilisation and science.

[lefthandovRA]

@soulira55 the 0,1 etc,,, were adopted from india also known as brahmi numeral created in the 3rd century then the persian al-khwarizmi made it popular by his book "On the Calculation with Hindu Numerals" in the 8th century..,.also the hindu system was already known in the 6 century in syria...as historian of that era said..go learn about history...

[roosoo2]

it's not hindu it's arabic ARABIC GO READ HISTORY TRUE HISTORY

[seanamico]

No such thing as Arab numerals. Numbers given to Arabs were written by a PERSIAN, Al-Khwarizmi he was not an Arab. Al-Khwarizmi learned the numerals & algebra that he & other Persians finalized as you see it today. Al-Khwarizmi learned from an Indian mathematician that wrote the first Algebra. Algebra is the name Khwarizmi gave to Algebra which again is a Persian name & Algebra was finalized by several Persians like Khyyam.

Arab=MORONS

[lefthandovRA]

@roosoo2 the 0,1,2,3,4,5,6,7 etc..,, were adopted from india also known as brahmi numeral created in the 3rd century then the persian al-khwarizmi made it popular by his book "On the Calculation with Hindu Numerals" in the 8th century..,.also the hindu system was already known in the 6 century in syria...as historian of that era said..go learn about history...

[langengro]

On second thought, multiplication will be extremely tedious even with the simper notation. They would've had to use an abakus. Anyway, taking Roman numerals as a transitonal step is instructive. But I don't know if I'd want the path of history to be repeated in individual education in this way. Kids get their heads around the Arabic system in a "Gestalt" way, and only later may dissect it and also find how the system is arbitrary. Similarly, they are familiar with flowers before doing botanics.

[langengro]

This is very illuminating! I particularly like the "simplified" Roman notation. My math teacher in High School used to tell us that one of the reasons for the decline of the Roman Empire was that in what might be called "unsimplified" Roman notation it is impossible to perform basic arithmetic operations in writing (like adding up the pay of a group of soldiers, or calculating how many floor tiles you need for a given room). But using the simplified system, this shouldn't really be a problem.

[fudgehead22]

Wow, I never thought of it that way. I've learned more about the basis of math thaan in all of my primer years put together. Its made me see mathmatical reasoning in a whole new light! Kudos~

p.s. I loved how you added a historical twist to it ;-P

[wbell539]

How many times have I seen this stuff presented, yet I learned something new.