Students will be able to:
compare and order rational and irrational numbers.
Most square roots are irrational numbers. Strategies such as using perfect squares or decimal expansion are used to compare and order rational and irrational numbers.
To compare rational and irrational numbers, you must first find rational approximations of the irrational numbers. You can approximate irrational numbers using perfect squares or by rounding.
[First number line locates √2 between 1 and 2; enlarged second number line marks √2 between 1.4 and 1.5, at approximately 1.414.]