Classifying Real Numbers: A Comprehensive Overview

What is the most important thing to know about numbers in the real number system?

• Only integers are real.

• Some numbers are fake.

• All numbers are real.

• Only whole numbers are real.

Which of the following is a natural number?

• 1

• -1

• 0.5

• 0

What is the difference between natural numbers and whole numbers?

• Whole numbers include negative numbers.

• Whole numbers include zero.

• Natural numbers include fractions.

• Natural numbers include decimals.

Which of the following is an integer?

• 0.5

• -2

• 3.14

• 1.5

What type of number is -3?

• Natural number

• Integer

• Whole number

• Irrational number

Which of the following is a rational number?

• e (Euler's number)

• Square root of 2

• 0.333...

• Pi

What is a characteristic of rational numbers?

• They cannot be written as fractions.

• They include repeating decimals.

• They are always whole numbers.

• They are always negative.

Which of the following is an irrational number?

• Pi

• 1/2

• 0.75

• 0.25

Why is Pi considered an irrational number?

• It is a repeating decimal.

• It goes on for millions of digits without repeating.

• It can be written as a fraction.

• It is a whole number.

Which of the following is NOT a characteristic of irrational numbers?

• They can be written as fractions.

• They are long decimals.

• They do not repeat a pattern.

• They do not make sense.