PA 2.2 Lesson 4 Notes/Practice

2.2 Lesson 4 Notes/Practice

by Emese Conrad

Poll

Is the value $$\sqrt[]{25}$$  a rational number?

• Yes!

• No!

Poll

Is the value $$\sqrt[]{65}$$  a rational number?

• Yes!

• No!

​Remember:

​Perfect squares are always rational numbers!

​

​If you are taking the square root of a number and you do not get a whole number, then that square root is automatically irrational!

Poll

Where does the value of $$\sqrt[]{19}$$  fall on a number line?

• between 1 and 2

• between 2 and 3

• between 3 and 4

• between 4 and 5

Poll

Where does the value of $$\sqrt[]{98}$$  fall on a number line?

• between 6 and 7

• between 7 and 8

• between 8 and 9

• between 9 and 10

Poll

What is the denominator in the decimal 0.59? It does not repeat

• 99

• 90

• 100

• 109

Multiple Select

Select all of the irrational numbers below.

• $$\frac{\sqrt[]{3}}{2}$$  

• $$28.8238093$$  

• $$\frac{2}{\sqrt[]{1}}$$  

• $$\frac{\sqrt[]{5}}{5}$$  

Poll

Is $$\pi$$  an irrational or rational number?

Hint: type it into the calculator.

• Rational Number

• Irrational Number

Multiple Select

Which of the following are valued between 7 and 8?

• $$\sqrt[]{50}$$  

• $$2\pi$$  

• $$\sqrt[]{40}$$  

• $$\sqrt[]{60}$$  

• $$\pi^2$$  

Multiple Choice

Which of the following options shows the order of the irrational numbers in order from least to greatest?

$$\sqrt[]{30},\ \sqrt[]{3},\ \pi,\ \sqrt[]{12},\ \sqrt[]{22}$$  

• $$\pi,\ \sqrt[]{3},\ \sqrt[]{22},\ \sqrt[]{12},\ \sqrt[]{30}$$  

• $$\sqrt[]{3},\ \sqrt[]{22},\ \sqrt[]{12},\ \pi,\ \sqrt[]{30}$$  

• $$\sqrt[]{3},\ \pi,\ \sqrt[]{12},\ \sqrt[]{22},\ \sqrt[]{30}$$  

​Go to Canvas and complete the following:

​1. Redo 2.2 Lesson 2 Independent Practice from Monday if you need to.

​2. Converting Repeating Decimals to Fractions (MathXL) from yesterday.

​3. Work on your i-Ready path!