Exploring the Real Number System

What are the two main categories of real numbers?

• Positive and Negative Numbers

• Integers and Fractions

• Rational and Irrational Numbers

• Natural and Whole Numbers

Which of the following is a natural number?

• 1.5

• 2

• -1

• 0

What distinguishes whole numbers from natural numbers?

• Whole numbers include fractions

• Whole numbers include zero

• Whole numbers include decimals

• Whole numbers include negative numbers

Which of the following is an integer?

• 1/2

• 0.75

• -2

• 3.5

What is a defining characteristic of rational numbers?

• They are always positive

• They can be written as fractions

• Their decimal form does not terminate or repeat

• They cannot be written as fractions

Which of the following is a rational number?

• e (Euler's number)

• √2

• π (pi)

• 0.333...

What is true about irrational numbers?

• They are always negative

• They can be written as fractions

• Their decimal form terminates

• Their decimal form does not terminate or repeat

Which of the following is an example of an irrational number?

• 4

• 1/2

• 0.25

• √5

Which category does the number -7 fall into?

• Whole number

• Natural number

• Irrational number

• Integer

What is the classification of the number 94?

• Whole and Irrational

• Irrational and Real

• Rational and Real

• Natural and Irrational