Real Number System

The natural numbers include...

• Only positive numbers that aren't decimals, starting with number 1.

• Only positive numbers that aren't decimals, starting with the number 0.

• Positive AND negative numbers, but NO decimals

• Positive AND negative numbers, fractions, and decimals that aren't crazy!

• Crazy decimals!

The Integers include...

• Only positive numbers that aren't decimals, starting with number 1.

• Only positive numbers that aren't decimals, starting with the number 0.

• Positive AND negative numbers, but NO decimals

• Positive AND negative numbers, fractions, and decimals that aren't crazy!

• Crazy decimals!

The Whole numbers include...

• Only positive numbers that aren't decimals, starting with number 1.

• Only positive numbers that aren't decimals, starting with the number 0.

• Positive AND negative numbers, but NO decimals

• Positive AND negative numbers, fractions, and decimals that aren't crazy!

• Crazy decimals!

The Irrational numbers include...

• Only positive numbers that aren't decimals, starting with number 1.

• Only positive numbers that aren't decimals, starting with the number 0.

• Positive AND negative numbers, but NO decimals

• Positive AND negative numbers, fractions, and decimals that aren't crazy!

• Crazy decimals!

The Rational numbers include...

• Only positive numbers that aren't decimals, starting with number 1.

• Only positive numbers that aren't decimals, starting with the number 0.

• Positive AND negative numbers, but NO decimals

• Positive AND negative numbers, fractions, and decimals that aren't crazy!

• Crazy decimals!

What is the only number that is a whole number, but not a natural number?

• -4

• 0

• 3

• 5.3

Can one number be irrational AND rational?

• yes

• no

Are all of the following numbers integers? $-8,\ 5,\ \sqrt{100},\ 0,\ \frac{10}{5}$  

• yes

• no

Are all of the following numbers whole numbers?  $12,\ 0,\ -5,\ 11$  

• yes

• no

True or false: ALL fractions are Rational

• true

• false