Real Numbers R:
 Real Numbers are every number, irrational or rational.
 Any number that you can find on the number line.
 It is a number required to label any point on the number line; or it is a number that names the distance of any point from 0.
 R = Q + Q^{1}
 Natural Numbers are Whole Numbers, which are Integers, which are Rational Numbers, which are Real Numbers.
 Irrational Numbers are Real Numbers, but not all Real Numbers are Irrational Numbers.
Examples:
4  Real, rational, integer. 
−7  Real, rational, integer. 
−½  Real, rational. 
9¾  Real, rational. 
− 17/5  Real, rational. 
1.732  Real, rational. 
5.67820820. . ..  Real, rational. 
7.456057891. . .  Real, irrational. 
Ö16 = 4  Real, rational, integer 
Ö3  real, irrational 
Directions: Select the type of number in each question. Write at least 5 examples of your own for rational and irrational real numbers.
