Classifying The Real Number System

An irrational number can also be a real number.

The square root of 4 is a real number.

The number 0 is considered a real number.

Pi is an irrational number.

Every real number can be represented on the number line.

All real numbers are rational numbers.

The square root of -1 is a real number.

The number 1/0 is a real number.

The number 2.5 is not a real number.

$$\frac{22}{11}$$  

$$-3$$  

$$\frac{0}{5}$$  

$$\sqrt{9}$$  

$$-\frac{3}{4}$$  

$$2.5$$  

$$0.75$$  

$$\frac{8}{3}$$  

$$\sqrt{2}$$  

$$e$$  

$$\sqrt{3}$$  

$$\sqrt[3]{5}$$  

\sqrt{-1}

$$2+\sqrt{3}i$$  

$$\frac{1}{0}$$  

$$e^{\pi i}+1$$  

$$\sqrt[3]{125}$$  

$$1.414114111411114...$$