Lesson 3: Irrational Numbers
Module 2: Roots and Powers
Launch
This section checks to see if you have the prerequisite knowledge and skills to be able to complete this lesson successfully.
Are You Ready?
Complete these questions in your course folder (binder). If you are experiencing difficulty, you may want to use the information and the multimedia in the Refresher section to clarify concepts before completing these exercises.
1. Place the following numbers on a number line from least to greatest:
2. Complete the table that shows how rational numbers can be converted from fraction form to decimal form.
3. What is the difference between a whole number and a rational number?
4.Classify the following numbers as
- natural numbers
- whole numbers
- integers
- rational number
In most cases a number will belong to more than one category. Write the number in all categories that apply.
5. Use your calculator to evaluate the following expressions to 5 decimal places.
Once you have completed these exercises to the best of your ability, use the provided answer link to check your work.
If you feel comfortable with the concepts covered in the questions, move forward to Discover. If you experienced difficulties or want more practice, use the resources in Refresher to review these important concepts before continuing through the lesson or contact your teacher.
Refresher
You will be learning how to place irrational numbers on a number line in this lesson. This “Number Line” applet will remind you of the basics of a number line. See if you can use the applet to insert fractions and decimals as well as integers—both positive and negative—on the number line.
Use the “Rational Numbers” applet to review the definition of a rational number. You should also review the subsets of the rational numbers, including naturals, wholes, and integers. Use the applet to see examples of numbers included and not included in each number set.
