Exploring Rational and Irrational Numbers

This video lesson explores the differences between rational and irrational numbers. Rational numbers are defined as numbers that can be expressed as fractions, including terminating and repeating decimals. In contrast, irrational numbers are non-terminating and non-repeating decimals. The video provides examples to illustrate these concepts, such as the repeating decimal 3.391 and the non-repeating decimal of the square root of 11. It also covers the famous irrational number Pi. The lesson concludes with a demonstration of converting decimals to fractions, emphasizing the importance of identifying patterns and using the greatest common factor for reduction.

Which of the following is a characteristic of a rational number?

• Non-terminating and non-repeating decimal

• Has no pattern

• Cannot be expressed as a fraction

• Can be expressed as a fraction

What type of number is represented by a non-terminating, non-repeating decimal?

• Integer

• Rational

• Whole number

• Irrational

If a decimal repeats a pattern, what type of number is it?

• Rational

• Whole number

• Irrational

• Prime number

What is the classification of the number represented by the square root of 11?

• Irrational

• Integer

• Rational

• Whole number

Why is Pi considered an irrational number?

• It repeats

• It terminates

• It is a whole number

• It does not terminate or repeat

Which of the following numbers is rational?

• 3.31662479...

• 3.14159...

• Square root of 11

• 5.66

What is the fraction form of the decimal 0.25?

• 1/5

• 1/4

• 1/2

• 1/10

How many times do you move the decimal point to convert 0.25 to a fraction?

• Three times

• Two times

• One time

• Four times

What is the fraction form of 0.25 after reducing?

• 1/4

• 1/10

• 1/5

• 1/2

What should you do if you can't find the greatest common factor (GCF) in one step?

• Guess the answer

• Do it in multiple steps

• Skip the problem

• Use a calculator