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., ?^2).

How Do You Estimate the Square Root of a Non-Perfect Square?

Trying to take the square root of a number that is not a perfect square? Think you need a calculator? Think again! This tutorial will show you how to estimate the square root of a number that is not a perfect square without the use of a calculator!
How Do You Figure Out if a Square Root is Bigger than Another Number?

Comparing a square root to another number can be rough, unless you remember that squaring is opposite of taking the square root. Then things get much easier! See how it's done in this tutorial.
How Do You Put Real Numbers in Order?

Ordering numbers from least to greatest? Are the numbers in different forms? To make comparing easier, convert all the numbers to decimals. Then, plot those decimals on a number line and compare them! This tutorial shows you how!