Exploring Sets of Real Numbers in Math 8

Mrs. Nemets introduces Go Math Module 1.2 for Math 8, focusing on rational and irrational numbers. She explains the characteristics of these numbers, including examples like pi and repeating decimals. The lesson covers sets and subsets, using biological classification as an analogy. Students learn to classify numbers into real, rational, and irrational categories, with further breakdowns into integers and whole numbers. The video includes guided practice and exercises to reinforce these concepts.

Which of the following is an example of a rational number?

• e (Euler's number)

• 0.75

• √2

• π (pi)

What is the defining characteristic of an irrational number?

• Its decimal form neither terminates nor repeats

• Its decimal form repeats

• Its decimal form terminates

• It can be written as a fraction

If a number has a repeating decimal, it is classified as:

• Whole

• Irrational

• Rational

• Imaginary

What is the square root of a non-perfect square classified as?

• Integer

• Whole

• Irrational

• Rational

In the context of sets and subsets, which of the following is a subset of birds?

• Invertebrates

• Passerines

• Vertebrates

• Animals

Which of the following is NOT a subset of rational numbers?

• Integers

• Whole numbers

• Irrational numbers

• Positive numbers

Which of the following numbers is both an integer and a whole number?

• 3

• 0

• 1.5

• √2

What is the classification of the number 27/4?

• Irrational number

• Rational number

• Integer

• Whole number

True or False: All irrational numbers are real numbers.

• False

• True

True or False: Some rational numbers are whole numbers.

• True

• False