Types of Number Systems
Number Systems: Naturals, Integers, Rationals, Irrationals, Reals, and Beyond The Natural Numbers. The natural (or counting) numbers are 1, 2, 3, 4, 5, etc. There are infinitely many natural numbers. The set of natural numbers, {1, 2, 3, 4, 5,...}, is sometimes written N for short. The whole numbers are the natural numbers together with 0.
The real numbers is the set of numbers containing all of the rational numbers and all of the irrational numbers. The real numbers are “all the numbers” on the number line. There are infinitely many real numbers just as there are infinitely many numbers in each of the other sets of numbers.
The real numbers, in the complex system, are written in the form a + 0 i = a. a real number. This set is sometimes written as C for short. The set of complex numbers is important because for any polynomial p (x) with real number coefficients, all the solutions of p (x) = 0 will be in C.
A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole numbers that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
The real numbers is the set of numbers containing all of the rational numbers and all of the irrational numbers. The real numbers are “all the numbers” on the number line. There are infinitely many real numbers just as there are infinitely many numbers in each of the other sets of numbers.
Mathematicians also play with some special numbers that that aren't Real Numbers. The Real Number Line. The Real Number Line is like a geometric line. A point is chosen on the line to be the "origin". Points to the right are positive, and points to the left are negative.
The real numbers, in the complex system, are written in the form a + 0 i = a. a real number. This set is sometimes written as C for short. The set of complex numbers is important because for any polynomial p (x) with real number coefficients, all the solutions of p (x) = 0 will be in C.
A surd number, especially the irrational root of an integer. number system is a way to represent numbers.