#### Answer

-6 is a real number, rational number, and integer
1/2 is a rational number, real number
-1.3333 (the 3's repeat) is a rational number, real number
$\pi$ is a irrational number and real number
2 is a real number, natural number, rational number, and integer
5 is a real number, natural number, rational number, integer

#### Work Step by Step

-6 is a real number since anything rational and irrational can be a real number; it is a rational number because it is a whole number.
1/2 is rational because rational can be fractions, and a real number since anything rational and irrational can be a real number
-1.3333 (the 3's repeat) this number is rational because it can be turned into a fraction and decimals are considered rational.
It is a real number for the same reason as mentioned before
pi is irrational because it cannot be turned into a fraction that finds its exact value and it is a real number (same reasoning like before)
2 and 5 are real numbers (same reasoning like before), natural numbers since they are whole numbers, and integers because integers can be whole numbers