Classifying Real Numbers: Rational vs. Irrational

This video tutorial by Mr. Weaver covers eighth-grade math concepts related to real numbers. It explains the difference between rational and irrational numbers, how to plot them on a number line, and how to classify them using a Venn diagram. The tutorial also discusses subsets of real numbers, including integers, whole numbers, and natural numbers, and provides examples to help students understand these concepts.

What type of numbers can be found on the number line?

• Imaginary numbers

• Real numbers

• Complex numbers

• Prime numbers

Which of the following is an irrational number?

• 0.5

• 3/4

• Pi (π)

• 2

What is a characteristic of irrational numbers?

• They have decimal expansions that terminate

• They have decimal expansions that repeat

• They have decimal expansions that do not terminate or repeat

• They can be expressed as a fraction

Where would the number -3/4 be placed in a Venn diagram?

• Rational numbers

• Integers

• Whole numbers

• Natural numbers

Which of the following is a whole number?

• 0

• -1

• 1/2

• Pi (π)

What is the classification of the number 0.2525...?

• Natural number

• Whole number

• Rational number

• Irrational number

Which set does the number -√64 belong to?

• Natural numbers

• Whole numbers

• Integers

• Irrational numbers

What is the value of the square root of 36?

• 7

• 6

• 8

• 5

Are all rational numbers integers?

• Sometimes

• Yes

• Depends on the number

• No

Which of the following statements is true?

• All natural numbers are whole numbers

• All rational numbers are real numbers

• All whole numbers are natural numbers

• All integers are rational numbers