Locating Rational and Irrational Numbers on a Number Line

Mr. Buffington's lesson focuses on locating rational and irrational numbers on a number line. It begins with a review of necessary prerequisites, such as understanding perfect squares and converting fractions to decimals. The lesson then delves into estimating irrational square roots, providing step-by-step guidance and examples. Finally, it demonstrates how to plot various types of numbers, including irrational numbers, decimals, and fractions, on a number line.

How do you convert the fraction 12/5 into a decimal?

• 2.5

• 2.2

• 2.6

• 2.4

How is a fraction converted into a decimal?

• By multiplying the fraction by 100

• By subtracting the denominator from the numerator

• By dividing the numerator by the denominator

• By finding the square root

Which of the following is an example of an irrational square root?

• Square root of 9

• Square root of 16

• Square root of 25

• Square root of 5

What is required to estimate irrational numbers on a number line?

• Skill in graphing linear equations

• Understanding of complex numbers

• Ability to multiply large numbers

• Knowledge of perfect squares

What is the first step in estimating the location of an irrational square root on a number line?

• Divide the root by 2

• Find the nearest perfect squares

• Convert the root to a decimal

• Think of a number line

Between which two integers does the square root of 32 lie?

• Between 3 and 4

• Between 5 and 6

• Between 4 and 5

• Between 6 and 7

Which of the following is a perfect square?

• Square root of 125

• Square root of 32

• Square root of 90

• Square root of 100

Where does the square root of 90 approximately lie on a number line?

• Between 10 and 11

• Between 7 and 8

• Between 8 and 9

• Between 9 and 10

What is the decimal equivalent of 19/2?

• 10.0

• 9.5

• 8.5

• 9.0

Which of the following numbers is rational?

• Square root of 25

• Square root of 5

• Square root of 32

• Square root of 90