The components are as follows:

* Natural Numbers - these are numbers that begin with one and count in a consecutive manner. The use of three dots at the end of the list is common when the list can continue on forever. Natural numbers can also be called counting numbers.

* Whole numbers - the addition of zero in the sequence of natural numbers creates whole numbers.

* Integers - when a negative number is added to the sequence it is said to be a series of integers. It is the negative form of the natural numbers and therefore has been given the term integers. These numbers are always given the form -n.

* Rational numbers are fractions in which you have a set of integers set up where A and B are integers, but B can never be zero. Given that it is a rational number it cannot be 0 on the bottom because that would be an irrational way of writing the fraction given that any denominator of 0 would render the fraction a complete 0.

* Irrational numbers on the other hand are not expressed as a ratio of integers. Instead they are expressed in decimals that never terminate or repeat. Even if the number would repeat, one never writes it that way. Instead, you write it with a series of three dots at the end so that it will never repeat or terminate.

* Real numbers are rational and irrational numbers. They are all points on a number line or at least all possible distances on the number line.

In mathematics there is always order to the numbers. The above are the components of the real number system. They work out from natural to rational with irrational being on the side, but nonetheless a part of the system.

* Natural Numbers - these are numbers that begin with one and count in a consecutive manner. The use of three dots at the end of the list is common when the list can continue on forever. Natural numbers can also be called counting numbers.

* Whole numbers - the addition of zero in the sequence of natural numbers creates whole numbers.

* Integers - when a negative number is added to the sequence it is said to be a series of integers. It is the negative form of the natural numbers and therefore has been given the term integers. These numbers are always given the form -n.

* Rational numbers are fractions in which you have a set of integers set up where A and B are integers, but B can never be zero. Given that it is a rational number it cannot be 0 on the bottom because that would be an irrational way of writing the fraction given that any denominator of 0 would render the fraction a complete 0.

* Irrational numbers on the other hand are not expressed as a ratio of integers. Instead they are expressed in decimals that never terminate or repeat. Even if the number would repeat, one never writes it that way. Instead, you write it with a series of three dots at the end so that it will never repeat or terminate.

* Real numbers are rational and irrational numbers. They are all points on a number line or at least all possible distances on the number line.

In mathematics there is always order to the numbers. The above are the components of the real number system. They work out from natural to rational with irrational being on the side, but nonetheless a part of the system.