Representation of Irrational Numbers on Number Line

Which of the following is a characteristic of irrational numbers?

• They can be expressed as a ratio of two integers.

• They have a terminating decimal representation.

• They can be easily plotted on a number line.

• They have a nonterminating, nonrecurring decimal representation.

What is the first method mentioned for representing irrational numbers on a number line?

• Semicircle method

• Spiral method

• Pythagorean method

• Decimal method

In the spiral method, what is the length of the hypotenuse when representing root 5?

• Root 6

• Root 5

• Root 4

• Root 3

What tools are necessary to represent root 5 on the number line using the spiral method?

• Ruler, pencil, compass, protractor, and paper

• Calculator, pencil, ruler, and paper

• Compass, ruler, calculator, and paper

• Protractor, pencil, calculator, and paper

Why is it difficult to plot decimal numbers on the number line?

• They are always less than 0.

• They are always greater than 1.

• They are nonterminating and nonrecurring.

• They are always negative.

What is the base used when representing root 6 using the spiral method?

• Root 7

• Root 6

• Root 5

• Root 4

What is the next method to be discussed in the following session?

• Semicircle method

• Spiral method

• Pythagorean method

• Decimal method