Irrational Numbers

Compare the size of numbers by plotting them on a number line

For each set of numbers, plot the approximate value of each number on a number line.

\(L=-\frac{9}{4},\) \(M=-\frac{7}{2},\) \(N=\sqrt[3]{1}\)

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.