Comparing and Estimating Numbers

The video tutorial covers the ordering of real numbers, focusing on approximating irrational numbers using perfect squares and decimals. It explains how to order numbers like pi and square roots, plot them on a number line, and understand their opposites. The tutorial also discusses the application of these concepts in real-world contexts.

Which of the following numbers is the smallest when ordered from least to greatest: pi, 3.75, or the square root of 2?

• None of these

• Square root of 2

• 3.75

• pi

What is the approximate value of the square root of 5?

• 2.4

• 2.3

• 2.2

• 2.1

Which of the following is the largest: square root of 8, pi, or square root of 3 plus 3?

• Square root of 3 plus 3

• None of these

• Pi

• Square root of 8

Which number is greater: pi minus 2 or the square root of 6?

• Square root of 6

• They are equal

• pi minus 2

• Cannot be determined

What is the approximate value of the square root of 6?

• 2.4

• 2.3

• 2.2

• 2.5

Where would you plot the square root of 20 on a number line?

• Between 6 and 7

• Between 3 and 4

• Between 4 and 5

• Between 5 and 6

Which number is closest to 20: 4.45 squared or 4.47 squared?

• Both are equally close

• 4.45 squared

• Neither is close

• 4.47 squared

Which of the following is the smallest: square root of 9 plus 5, pi squared, or square root of 52?

• None of these

• Square root of 52

• Pi squared

• Square root of 9 plus 5

What is the approximate value of pi squared?

• 8.86

• 9.86

• 10.86

• 11.86

If a, b, and c are in order from least to greatest, what is the order of their opposites?

• -a, -b, -c

• -c, -b, -a

• -b, -a, -c

• -a, -c, -b