Distinguishing Rational and Irrational Numbers

This video lesson introduces the real number system, focusing on rational and irrational numbers. It includes a hands-on activity involving cutting and folding to help visualize the concepts. The lesson defines rational numbers as those that can be expressed as a fraction, including terminating and repeating decimals. It also covers irrational numbers, which cannot be expressed as a fraction, such as non-terminating, non-repeating decimals and imperfect squares. The video aims to help students distinguish between these types of numbers and understand their place in the real number system.

What is the first step in creating the visual aid for understanding numbers?

• Cutting out rectangles as directed

• Folding the paper in half

• Gluing parts together

• Writing numbers on the paper

What is the significance of the solid line in the cutting activity?

• It separates rational from irrational numbers

• It marks the boundary of the number line

• It should not be cut

• It indicates where to fold

What is the purpose of the activity involving cutting, folding, and classifying numbers?

• To memorize the number line

• To understand the real number system visually

• To separate numbers into positive and negative

• To practice cutting skills

What makes a number rational?

• It can be expressed as a ratio of two integers

• It can be written as a non-repeating decimal

• It is a perfect square

• It cannot be written as a fraction

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

• Pi (π)

• A non-terminating, non-repeating decimal

• Square root of 2

• 0.333... (repeating)

Which of the following numbers is considered a whole number?

• 0

• Square root of 2

• Pi (π)

• -3

How are terminating decimals classified in the real number system?

• Irrational

• Rational

• Only as integers

• Neither rational nor irrational

Which of the following is a characteristic of natural numbers?

• They are counting numbers starting from 1

• They cannot be written as fractions

• They are all irrational

• They include negative numbers

What distinguishes irrational numbers from rational numbers?

• They cannot be expressed as a ratio of two integers

• They include natural numbers and whole numbers

• They can be written as fractions

• They are always positive

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

• -5

• 1/2

• 0.25

• Pi (π)