Rational vs Irrational Numbers: Key Concepts and Applications

What is the main topic discussed in the video?

• Geometry and shapes

• The difference between rational and irrational numbers

• The history of mathematics

• Basic arithmetic operations

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

• 1/3

• Square root of 3

• Pi (π)

• Square root of 2

Which of these numbers is a whole number and also a rational number?

• Square root of 5

• 2

• Pi (π)

• Square root of 3

What characteristic defines a rational number?

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

• It is always a square root

• It can be written as a fraction

• It is always an integer

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

• 4.34

• Square root of 3

• Square root of 9

• 1/2

Why is Pi (π) considered an irrational number?

• It can be written as a fraction

• It is a whole number

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

• It is a terminating decimal

What tool does the teacher suggest using to analyze Jacob's expression?

• A compass

• A protractor

• A calculator

• A ruler

What should you do if a decimal does not end or repeat?

• Ignore it

• Consider it an irrational number

• Consider it a rational number

• Convert it to a whole number

What was the result when the expression was entered into the calculator?

• A fraction

• A non-terminating, non-repeating decimal

• A whole number

• A terminating decimal

Why was Jacob's answer considered incorrect?

• Because the answer was a whole number

• Because the answer was a terminating decimal

• Because the answer was a fraction

• Because the answer did not repeat and did not end