Rational vs. Irrational Numbers

3

$\sqrt{2}$

$\pi$

e

$\frac{7}{4}$

$\sqrt{5}$

$\pi$ - 3

2.718281828...

0

4

$\sqrt{7}$

1.5

0.6666...

$\sqrt{2}$

$\pi$

e

Rational

Irrational

Both

Neither

All integers are rational.

All fractions are irrational.

Some irrational numbers are integers.

0 is an irrational number.

They can be expressed as fractions.

They have non-repeating, non-terminating decimals.

They are always whole numbers.

They can be expressed as $\frac{a}{b}$.

3 and $\sqrt{5}$

0 and 1

2 and 4

$\pi$ and $\frac{22}{7}$