Classifying Different Types of Numbers

This video tutorial covers the real number system, explaining the differences between rational and irrational numbers. It provides examples of each type, such as pi for irrational numbers and fractions for rational numbers. The video also discusses subsets of rational numbers, including integers, whole numbers, and natural numbers. Finally, it offers practice exercises to help classify numbers into their respective categories.

What is the set of numbers that includes all rational and irrational numbers?

• Integers

• Natural Numbers

• Whole Numbers

• Real Numbers

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

• 20/5

• Pi

• 5

• 7

What is a characteristic of rational numbers?

• They never terminate

• They never repeat

• They can be written as a fraction

• They are always positive

Which subset of rational numbers includes both positive and negative whole numbers?

• Whole Numbers

• Natural Numbers

• Irrational Numbers

• Integers

What is the smallest subset that includes the number 0?

• Rational Numbers

• Integers

• Whole Numbers

• Natural Numbers

Which of the following numbers is a natural number?

• 1

• Negative 3

• 0

• Pi

What sets does the number -47 belong to?

• Irrational, Real, Integer

• Whole, Real, Rational

• Rational, Real, Integer

• Natural, Real, Rational

What is the absolute value of -9 and which sets does it belong to?

• 9; Real, Rational

• 9; Real, Rational, Integer, Whole

• 9; Real, Rational, Integer

• 9; Real, Rational, Integer, Whole, Natural

Which sets does a terminating decimal belong to?

• Real, Rational

• Rational, Integer

• Whole, Natural

• Real, Irrational

What is the smallest set that the number 8 belongs to?

• Rational

• Integer

• Natural

• Whole