Comparing and Estimating Values of Numbers

The video tutorial explains how to order real numbers by approximating irrational numbers using perfect squares. It covers ordering complex expressions involving pi and square roots, techniques for approximating square roots of non-perfect squares, and plotting numbers on a number line. The tutorial also discusses understanding the order of opposites on a number line and concludes with applying these concepts in real-world contexts.

What is the approximate value of pi?

• 2.5

• 1.4

• 3.75

• 3.14

Which of the following is greater than 1 and less than 2?

• 3.75

• Square root of 9

• Pi

• Square root of 2

What is the approximate value of the square root of 2?

• 1.4

• 3.14

• 2.5

• 1.7

Which number is the least when ordered from least to greatest: square root of 2, pi, 3.75?

• 3.75

• Pi

• Square root of 3

• Square root of 2

What is the approximate value of the square root of 3 plus 3?

• 5.1

• 2.8

• 3.14

• 4.7

Which of the following is closest to 2.8?

• 3.75

• Pi

• Square root of 8

• Square root of 3

What is the approximate value of pi minus 2?

• 0.5

• 3.2

• 1.14

• 2.45

Which number is the greatest when ordered from least to greatest: pi minus 2, square root of 6, 3.2?

• Square root of 5

• Pi minus 2

• Square root of 6

• 3.2

What is the approximate value of the square root of 20?

• 4.47

• 4.5

• 4.2

• 5

Which of the following is closest to 19.9?

• 5 squared

• 4.2 squared

• 4.5 squared

• 4.47 squared