Rational and Irrational Numbers

The video tutorial explains the difference between rational and irrational numbers. Rational numbers can be expressed as fractions, while irrational numbers cannot. Examples of rational numbers include fractions and repeating decimals, whereas irrational numbers include non-repeating decimals and certain radicals. The video also provides examples and classifications of various numbers to illustrate these concepts.

What is a key characteristic of rational numbers?

• They are always whole numbers.

• They have non-repeating decimals.

• They can be expressed as a fraction.

• They cannot be expressed as a fraction.

Which of the following is a rational number?

• 0.5

• Square root of 2

• Pi

• Cube root of 71

Why is pi considered an irrational number?

• It can be expressed as a fraction.

• It is a whole number.

• It is a repeating decimal.

• It cannot be expressed as a fraction.

Which of the following is NOT an irrational number?

• Square root of 9

• Pi

• Cube root of 71

• Square root of 3

Which of the following numbers is a rational number?

• Negative square root of 11

• Pi

• 27/55

• Cube root of 71

What is the decimal representation of a rational number like 0.49?

• It is a non-repeating decimal.

• It can be expressed as 49/100.

• It is an irrational number.

• It cannot be expressed as a fraction.

Why is the square root of 16 considered a rational number?

• It cannot be expressed as a fraction.

• It is an irrational number.

• It is a whole number.

• It is a repeating decimal.

What makes the cube root of 71 an irrational number?

• It is a whole number.

• It can be expressed as a fraction.

• It has a repeating decimal pattern.

• It cannot be expressed as a fraction.

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

• Cube root of 71

• Pi

• Square root of 2

• 0.333...

Which of the following is a characteristic of irrational numbers?

• They have repeating decimal patterns.

• They cannot be expressed as a fraction.

• They are always whole numbers.

• They can be expressed as a fraction.