How to classify real numbers between rational and irrational numbers

The video tutorial explains the distinction between rational and irrational numbers. Rational numbers can be expressed as fractions, while irrational numbers cannot. Examples of rational numbers include integers and fractions like -10, -20/2, and the square root of 9. Pi is highlighted as a classic example of an irrational number due to its non-repeating, non-terminating decimal form. The tutorial also covers square roots, explaining that while the square root of 36 is rational, the square root of 37 is irrational because it cannot be expressed as a fraction.

What is the key characteristic of a rational number?

• It cannot be expressed as a fraction.

• It is always a whole number.

• It can be expressed as a fraction.

• It is always a decimal.

Which of the following is a rational number?

• Square root of 2

• Pi

• Negative 10

• Square root of 37

Why is the square root of 9 considered a rational number?

• It is a decimal.

• It is a negative number.

• It can be expressed as a fraction.

• It is an irrational number.

Why is pi considered an irrational number?

• It is a whole number.

• It cannot be expressed as an exact fraction.

• It is a repeating decimal.

• It can be expressed as a fraction.

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

• 12 divided by 4

• Negative 20 over 2

• Square root of 36

• Square root of 37