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A complex number isn’t really all that mysterious. This is just a designation that allows for you to deal with both real and imaginary parts of a number. A complex number has some of each! Complex numbers have the general format of , where a and b are real numbers, and the i is that imaginary number, .

Q. Using the choices: natural, whole, integer, rational, irrational, prime, and imaginary, which of these can be used to describe the number 8?

A. Natural, whole, integer, rational. The number 8 fits all of these descriptions. It is rational, because you can write it as a fraction such as or .

Q. Using the choices: natural, whole, integer, rational, irrational, prime, and imaginary, which of these can be used to describe the number ?

A. Rational. This is written as a fraction but cannot be reduced to create an integer.

Q. Using the choices: natural, whole, integer, rational, irrational, prime, and imaginary, which of these can be used to describe the number ?

A. Irrational. The number 17 isn’t a perfect square, so the decimal equivalence of is a decimal that goes on forever without repeating or terminating.

Q. Using the choices: natural, whole, integer, rational, irrational, prime, and imaginary, which of these can be used to describe the number ?

A. Imaginary. Even though 9 is a perfect square, so you can write the number as and then simplify it to read or , this number stays imaginary.

1 Identify which of the following numbers are natural numbers:

2 Identify which of the following numbers are integers:

3 Identify which of the following numbers are rational numbers:

4 Identify which of the following numbers are irrational numbers:

5 Identify which of the following numbers are prime numbers:

6 Identify which of the following numbers are imaginary numbers: