Untitled Presentation

Open Ended

Why is it important to understand the different types of numbers within the real number system?

Multiple Choice

Which of the following statements best describes a rational number?

• A number with a decimal expansion that terminates or repeats.

• A number that cannot be written as a fraction.

• A number with a non-repeating, non-terminating decimal expansion.

• A number that is always positive.

Open Ended

How can you identify whether numbers are rational or irrational, and where do they classify within the number system?

Multiple Choice

Which of the following is NOT a subset of the Real Number System?

• Rational Numbers (Q)

• Integers (Z)

• Complex Numbers (C)

• Irrational Numbers (IR)

Multiple Select

Select all the numbers that are considered rational numbers.

• 0.5

• π

• 2.333... (repeating)

• √2

Multiple Choice

Which of the following numbers is NOT an integer?

• -3

• 0

• 2.5

• 4

Fill in the Blanks

Integers do not include

or decimals.

Open Ended

Explain the difference between whole numbers and natural numbers, and provide examples of each.

Multiple Choice

Which of the following is an example of a repeating decimal?

• 2.75

• 0.0001

• 10.635

• 0.3333...

Multiple Choice

What is the main difference between rational and irrational numbers?

• Rational numbers can be written as fractions, irrational numbers cannot.

• Rational numbers are always whole numbers, irrational numbers are not.

• Rational numbers are always positive, irrational numbers are negative.

• Rational numbers have non-terminating decimals, irrational numbers have terminating decimals.

Multiple Choice

Using the real number system tree diagram, identify all the categories that zero belongs to.

• Natural numbers, whole numbers, integers

• Whole numbers, integers, rational numbers

• Natural numbers, integers, irrational numbers

• Whole numbers, integers, irrational numbers

Open Ended

What are some important facts to remember about the real number system?

Open Ended

Can a number be both rational and irrational? Use the diagram to explain your answer.

Fill in the Blanks

2.4344344443... is a rational number.

Open Ended

Reflecting on today's lesson about the real number system, what is one question you still have or one concept you would like to explore further?

Multiple Choice

What is the difference between rational and irrational numbers based on their decimal expansions?

• Rational numbers have decimal expansions that terminate or repeat, while irrational numbers have non-terminating, non-repeating decimal expansions.

• Rational numbers have non-terminating, non-repeating decimal expansions, while irrational numbers terminate or repeat.

• Both rational and irrational numbers have decimal expansions that terminate or repeat.

• Rational numbers cannot be approximated by irrational numbers.

Multiple Choice

What is the value of the cube root of 8?

• 2

• 4

• 8

• 3