Rational numbers introduction

The video tutorial explains different types of numbers, including whole, natural, integers, rational, and irrational numbers. It highlights the characteristics of rational numbers, such as their ability to be expressed as fractions, and contrasts them with irrational numbers, which cannot be expressed as fractions. The tutorial also discusses the real number system and how these number types fit within it.

Which of the following is a characteristic of whole numbers?

• They start from 1.

• They include negative numbers.

• They cannot be fractions.

• They include zero.

What is a key feature of rational numbers?

• They can be expressed as fractions.

• They are always whole numbers.

• They are always positive.

• They cannot be expressed as fractions.

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

• 2/3

• Square root of 8

• e (Euler's number)

• Pi

Why can't pi be considered a rational number?

• It can be expressed as a fraction.

• It cannot be expressed as a fraction.

• It is a whole number.

• It is an integer.

What distinguishes irrational numbers from rational numbers?

• Irrational numbers are always whole numbers.

• Irrational numbers cannot be expressed as fractions.

• Irrational numbers are always negative.

• Irrational numbers can be expressed as fractions.