Exploring the Real Number System

The video tutorial covers the real number system, starting with natural, whole, and integer numbers. It explains rational numbers as fractions with non-zero denominators and introduces irrational numbers, which cannot be expressed as fractions. The tutorial combines rational and irrational numbers to form real numbers and briefly introduces imaginary numbers, which address the square root of negative numbers.

What set includes both natural and whole numbers?

• Real numbers

• Integers

• Rational numbers

• Irrational numbers

Which number set does zero belong to?

• Natural numbers

• Irrational numbers

• Whole numbers

• Imaginary numbers

What is a characteristic of rational numbers?

• Includes negative numbers

• Cannot be expressed as a fraction

• Can be expressed as a fraction

• Only includes positive numbers

What is true about the denominator in rational numbers?

• It cannot be zero

• It can be zero

• It must be a non-integer

• It must be negative

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

• 2/3

• Pi

• -2

• 0

Which number type includes the square root of 2?

• Irrational numbers

• Natural numbers

• Rational numbers

• Whole numbers

What does the real number system include?

• Only integers

• Only rational numbers

• Only irrational numbers

• Both rational and irrational numbers

Which of the following is not a real number?

• Square root of -1

• 2

• Square root of 5

• Pi

What is the square root of negative four expressed as?

• 2i

• -2

• 2

• Cannot be determined

Why were imaginary numbers introduced?

• To replace irrational numbers

• To define zero more clearly

• To solve equations with negative square roots

• To simplify fractions