Students often need lots of practice with classifying rational and irrational numbers. This activity gives them that practice while reminding them of the characteristics of the respective number types.
One page has step-by-step directions with embedded definitions and students classify 100 numbers on another page by coloring them according to the directions. The coloring helps to motivate the students and makes it easy for you to spot if they're on the right track!
This activity requires that students are familiar with perfect squares and cubes, negative exponents and simplifying basic expressions. To make it more accessible, you can allow the use of a calculator to evaluate the expressions.