Differentiating Rational and Irrational Numbers

The video tutorial explains the difference between rational and irrational numbers. Rational numbers include decimals that terminate or repeat and integers. Irrational numbers are non-repeating, endless decimals. Examples are provided to help distinguish between the two, such as 0.3333 being rational and Pi being irrational. The video concludes with a recap of these concepts.

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

• Pi (π)

• A repeating decimal

• A non-terminating, non-repeating decimal

• The square root of 2

What property do all rational numbers share?

• They all contain the number pi

• They are all prime numbers

• They can all be expressed as fractions

• They are all integers

What makes a number irrational?

• It can be written as a fraction

• It has a definite end

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

• It is an integer

Which example indicates a number is irrational?

• A decimal that stops

• A repeating decimal pattern

• A decimal that goes on forever without repeating

• A whole number

Is the number 0.333... (repeating) rational or irrational?

• Rational

• Irrational

• Neither

• Both

Which of the following numbers is irrational?

• 2π

• 4 + 1/10

• 23.45

• -10

Is the square root of 2 rational or irrational?

• Irrational

• Rational

• Depends on the context

• Neither