Rational and Irrational Numbers

The video tutorial covers the importance of numbers, focusing on rational and irrational numbers. It explains the properties of these numbers and their operations, including addition and subtraction. The session concludes with a summary and a preview of the next session, which will cover simplifying expressions and rationalizing denominators.

What is a rational number?

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

• A number that cannot be expressed as a ratio of two integers

• A number that is always positive

• A number that is always negative

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

• e

• 7/1

• π

• √2

What defines an irrational number?

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

• A number that is always negative

• A number that is always positive

• A number that cannot be expressed as a ratio of two integers

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

• 1/2

• √5

• 3

• 4/2

What are real numbers?

• Numbers that are neither rational nor irrational

• Numbers that are only irrational

• Numbers that are only rational

• Numbers that are either rational or irrational

What are the four basic mathematical operations?

• Addition, subtraction, exponentiation, division

• Addition, subtraction, multiplication, division

• Subtraction, multiplication, division, exponentiation

• Addition, multiplication, exponentiation, division

What is the result of adding two rational numbers?

• Always zero

• Can be either rational or irrational

• Always an irrational number

• Always a rational number

What is the first property of addition of rational numbers?

• The sum is always zero

• The sum can be either rational or irrational

• The sum is always rational

• The sum is always irrational

What is the result of adding 0.24 and 0.60?

• 0.64

• 0.94

• 0.74

• 0.84

What is the result of adding two irrational numbers?

• Always a rational number

• Always an irrational number

• Can be either rational or irrational

• Always zero