1 is what type of number

In fact each of these sets is countable. The last set, R , cannot be counted. This is because they are continuous. Between any two real numbers, however close they may be, there are infinitely more real numbers. At higher levels of secondary and tertiary education discrete mathematics , is often more challenging than the mathematics of continuous functions.

With continuous functions, a small change in the input variable leads to a small change in the output variable. Smooth, continuous functions lead on to most of the functions students meet at secondary school, including calculus at the senior secondary school level.

The values a and b can be zero, so the set of real numbers and the set of imaginary numbers are subsets of the set of complex numbers. Symbol Description Natural Numbers The whole numbers from 1 upwards. Irrational Numbers Any real number that is not a Rational Number. Can be Rational or Irrational. Can be Algebraic or Transcendental. Natural Numbers The whole numbers from 1 upwards. A rational number is a number which can be written as a fraction where numerator and denominator are integers where the top and bottom of the fraction are whole numbers.

Irrational numbers are numbers which cannot be written as fractions, such as pi. In decimal form these numbers go on forever and the same pattern of digits are not repeated. Square numbers are numbers which can be obtained by multiplying another number by itself. Prime numbers are numbers above 1 which cannot be divided by anything other than 1 and itself to give an integer. The first prime numbers are: 2, 3, 5, 7, 11, 13, 17, Real numbers are all the numbers which you will have come across i.