Exploring Rational and Irrational Numbers

This video tutorial explains the concepts of rational and irrational numbers. It covers the definitions, characteristics, and examples of both types of numbers. Rational numbers can be expressed as fractions or decimals that terminate or repeat, while irrational numbers cannot be expressed as fractions and have non-terminating, non-repeating decimals. The video includes examples and practice questions to help students classify numbers as rational or irrational, using knowledge of decimals and square roots.

Which of the following is a rational number?

• 0.5

• √2

• √3

• π

What type of number is 0.333...?

• Irrational

• Rational

• Integer

• Whole

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

• π

• 0.75

• 1/2

• 5

Tags

CCSS.8.NS.A.1

Why is π considered an irrational number?

• It can be written as a fraction

• It is a whole number

• It is a repeating decimal

• It is a non-terminating, non-repeating decimal

Tags

CCSS.8.NS.A.1

Which of the following is a terminating decimal?

• 0.5

• √5

• π

• 0.333...

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Is the square root of 20 rational or irrational?

• Whole

• Rational

• Integer

• Irrational

Tags

CCSS.8.NS.A.1

What type of number is -1.75?

• Irrational

• Integer

• Whole

• Rational

Which value from the following list is not rational: 8.224, 5/9, √25, √30?

• 8.224

• 5/9

• √25

• √30

Tags

CCSS.8.NS.A.1

If a number ends or repeats, it is considered:

• Integer

• Rational

• Irrational

• Whole

Tags

CCSS.8.NS.A.1

CCSS.7.NS.A.2D

What is the square root of 121?

• 13

• 12

• 10

• 11

Tags

CCSS.8.EE.A.2