Classifying Rational Numbers: Key Concepts and Techniques

The video tutorial introduces the concept of rational numbers, explaining that they include integers and fractions. It discusses how decimals can be rational if they repeat or terminate. The video also covers perfect square roots as rational numbers and explains irrational numbers, which cannot be expressed as fractions. Examples of irrational numbers include non-perfect square roots and pi.

What is the main topic of the new unit introduced in the video?

• Statistics

• Rational Numbers

• Geometry

• Algebra

Which of the following is a rational number?

• 1.414213

• Square root of 2

• Pi

• 3/4

What is the technical definition of a rational number?

• A number that cannot be written as a fraction

• A number that can be written as a ratio of two integers

• A number that is a perfect square root

• A number that goes on forever without repeating

Which of the following is an example of a repeating decimal?

• Square root of 10

• 2.71828

• 0.333...

• 1.02

What does it mean if a decimal terminates?

• It goes on forever without repeating

• It can be written as a fraction

• It is an irrational number

• It is a non-perfect square root

Which of the following is a perfect square root?

• Square root of 10

• Square root of 3

• Square root of 49

• Square root of 2

What is an irrational number?

• A number that can be written as a ratio of two integers

• A number that terminates

• A number that cannot be written as a fraction

• A number that is a perfect square root

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

• 3/4

• 0.5

• Square root of 2

• 1.25

Why is pi considered an irrational number?

• It can be written as a fraction

• It is a perfect square root

• It terminates

• It goes on forever without repeating

Which of the following is NOT a characteristic of a rational number?

• It can be written as a fraction

• It is a repeating decimal

• It goes on forever without repeating

• It is a terminating decimal