Classifying real numbers

The video tutorial explains how to classify real numbers into rational and irrational categories. It begins by introducing real numbers and their classification. Rational numbers are defined as numbers that can be expressed as fractions, while irrational numbers cannot be precisely written as fractions due to their non-repeating, non-terminating decimal nature. Examples such as pi and the square root of 7 are used to illustrate irrational numbers. The tutorial concludes with a practical example, demonstrating that the square root of 260 divided by 2 is an irrational number.

What are the two main categories of real numbers?

• Whole and Natural

• Rational and Irrational

• Even and Odd

• Positive and Negative

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

• It cannot be expressed as a fraction.

• It has a non-terminating, non-repeating decimal.

• It is always a whole number.

• It can be written as a fraction.

Why is the number pi considered irrational?

• It is a whole number.

• Its decimal representation is non-terminating and non-repeating.

• It is less than 3.

• It can be expressed as a simple fraction.

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

• 5

• Pi

• Square root of 7

• Square root of 130

What is the classification of the square root of 260 divided by 2?

• Natural

• Rational

• Irrational

• Whole