what is meant by number system? what made us to use base ten number system?

Answer 1

There is a good explanation of "number system" here:
http://en.wikipedia.org/wiki/Number_system

and pointers to more reading here:
http://42explore.com/number.htm

It is widely believed that the base ten number system developed as a result of us having ten digits (i.e., fingers and thumbs) on our hands, but a definite answer to that question is lost in antiquity. The Elamites, from what is now southern Iran, were believed to be using a decimal system as long ago as 3500 B.C. and the ancient Egyptians were known to count in powers of ten.

The modern number system used in the west is known as Hindu-Arabic, which was described by Indian mathematician Brahmagupta in the early 7th century. He is widely considered to be the father of modern arithmetic and algebra.

Answer 2

A number system is determined by how many digits there are, and what each place in a number represents. In out base 10, we have 10 digits (0-9) and each place to the left is ten times the value of the place before it: 1, 10, 100, 1000, 10,000, etc. Each time you move the 1 to the left, it is multiplied by 10.

If you had a base 2 system (like computers), you only use 2 number 0 and1. Each time you move to the left (1=1, 10=2, 100=4, 1000=8) you are increasing by a factor of 2.

Computer programmers often use base 16, with the digits 0-9 plus A,B,C,D,E,and F as the additional digits needed to give you 16 of them. Each time you move to the left, you multiple by 16. (1=1, 10=16, 100=256, 1000=4096)

The rest that humans normally use base ten appears to be because we have 10 fingers. So we invented numerial digits to match our physicals "digits", and developed the number system from there.

Answer 3

Ten fingers, ten toes.

Number systems are ways of describing quantities. Base ten uses ten characters (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). Base two numbering systems use two characters (0, 1). Base three uses three numbers (0, 1, 2) and so on and so forth.