Question

select the numbers that are classified as irrational.$pi$43$-4LXB0\frac{15}{80}$

Explanation:

Irrational numbers are non-repeating, non-terminating decimals that cannot be written as a ratio of two integers.

• $\pi$ is a non-repeating, non-terminating decimal, so it is irrational.
• 43 is an integer, which can be written as $\frac{43}{1}$, so it is rational.
• -4 is an integer, which can be written as $\frac{-4}{1}$, so it is rational.
• $\sqrt{1.6} = \sqrt{\frac{8}{5}} = \frac{2\sqrt{10}}{5}$, and $\sqrt{10}$ is irrational, so this number is irrational.
• $\frac{15}{80}$ simplifies to $\frac{3}{16}$, a ratio of integers, so it is rational.

Answer:

$\boldsymbol{\pi}$
$\boldsymbol{\sqrt{1.6}}$