Understanding Rational and Irrational Numbers on a Number Line

This video tutorial explains how to compare and order rational and irrational numbers on a number line. It covers identifying square roots and placing them between consecutive whole numbers. The tutorial provides examples of arranging numbers from least to greatest and vice versa, emphasizing the importance of understanding square roots for accurate placement.

What is the main focus of the video tutorial?

• Learning to add and subtract rational numbers

• Comparing and ordering rational and irrational numbers on a number line

• Solving algebraic equations

• Understanding the history of irrational numbers

Between which two whole numbers does the square root of 39 lie?

• 8 and 9

• 5 and 6

• 6 and 7

• 7 and 8

Where should the square root of 12 be placed on a number line?

• Between 3 and 4

• Between 2 and 3

• Between 4 and 5

• Between 5 and 6

Which two whole numbers does the square root of 74 fall between?

• 9 and 10

• 6 and 7

• 7 and 8

• 8 and 9

Arrange the following from least to greatest: square root of 12, square root of 39, square root of 74.

• Square root of 12, square root of 74, square root of 39

• Square root of 39, square root of 12, square root of 74

• Square root of 12, square root of 39, square root of 74

• Square root of 74, square root of 39, square root of 12

What is the value of the square root of 9?

• 2

• 3

• 4

• 5

Where does the fraction 4 and 2/3 lie on a number line?

• Between 3 and 4

• Between 4 and 5

• Between 5 and 6

• Between 6 and 7

Between which two whole numbers does the square root of 31 lie?

• 5 and 6

• 4 and 5

• 7 and 8

• 6 and 7

Arrange the following from greatest to least: square root of 31, 4 and 2/3, square root of 9.

• 4 and 2/3, square root of 31, square root of 9

• Square root of 9, 4 and 2/3, square root of 31

• Square root of 31, 4 and 2/3, square root of 9

• Square root of 31, square root of 9, 4 and 2/3

Which of the following is a perfect square?

• Square root of 9

• Square root of 74

• Square root of 31

• Square root of 12