1.) Natural Numbers:
Natural numbers are what you use when you are counting one to one objects. When you start using 1,2,3,4 and so on, you are using the counting numbers or to give them a proper title, you are using the natural numbers. Natural Numbers are numbers that are not negative, decimal, or fraction type numbers. The number "Zero" is not a natural number.
3.) Integer Numbers:
Integer numbers are whole numbers with or without negative signs in front of that number. Some often refer to integers as the positive and negative numbers, such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 ext.
4.) Rational Numbers:
Rational numbers are numbers that contain integer, fraction, and decimal number types. Rational numbers can (not always) have numbers that continue on forever, (such as 7÷22) or repeat its self.
6.) Real Numbers:
Real numbers are numbers that are natural, whole, integer, rational, and irrational numbers. Fraction and Decimal numbers are also known as real numbers. Practically all numbers are "Real Numbers".