Comparing Real Numbers

Square Root Equations

By the end of the lesson, students will be able solve an equation using square roots and inverse operations.

Optional Video Rewatch! Rational or Irrational

• ​You have already watched this video, but feel free to refresh your memory on Rational vs Irrational before comparing Real Numbers (both Rational and Irrational Numbers)

• ​OR skip to the next video.

​Comparing Real Numbers

• ​​​Watch the video

• ​Record the examples and information on the notes page or in your notebook.

• ​Complete the "You Try" and check your work with Mrs. Jackson.

• ​Then, continue the rest of the lesson to get at least an 80%​

Multiple Choice

Which number is irrational?

• 5.499

• $$\sqrt{17}$$

• - $$\sqrt{9}$$

• -10

Multiple Choice

Which number in the list is NOT an integer?

• $$\frac{12}{4}$$

• -42

• $$\sqrt{25}$$

• -4.8

Multiple Choice

Which of the following is rational?

• .211232112421125. . . .
• π
• √25
• √12

Multiple Choice

The √40 is between which two integers?

• 7 & 8
• 6 & 7
• 5 & 6
• 4 & 5

Multiple Choice

Between which two whole numbers is the
√5?

• 1 and 2
• 2 and 3
• 3 and 4
• 4 and 5

Multiple Choice

Which number has a greater value?

• 0.07
• 0.7

Multiple Choice

Which number has a greater value?

• √2
• ⁵/₄

Multiple Choice

Which number has a greater value?

• √2
• 1 ¹/₃

Multiple Choice

Which number has a greater value?

• √3
• 2

Multiple Choice

Which number has a greater value?

• π
• ²²/₇

Multiple Choice

Put in the symbol to make the statement true...
-17.5   _________ -√121

• >
• <
• =

Multiple Choice

Point B could represent which of the following numbers?

• √24
• √30
• √35
• √42

Multiple Choice

Which list of numbers is in order from least to greatest?

• A √23, 5, 6, 43%
• B 5, √23, 6, 43%
• C 43%, 5, √23, 6
• D 43%, √23, 5, 6

Multiple Choice

Which of these values is the GREATEST?

• 63/7
• 8.99
• 450%
• -22

Multiple Choice

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

• -64 , 3.5 , √27 , 6.666...
• 3.5 , √27 , 6.666..., -64
• 3.5, -64, √27, 6.666...
• 6.666, √27, -64, 3.5

Poll

How do you feel about this lesson?