Classifying Numbers in the Real Number System

The video tutorial explains the classification of numbers within the real number system. It begins with natural numbers, which are basic counting numbers, and expands to whole numbers by including zero. The concept of integers is introduced by adding negative numbers to whole numbers. Rational numbers are defined as numbers that can be expressed as fractions or terminating/repeating decimals. Finally, irrational numbers are discussed, characterized by non-repeating, non-terminating decimals, with examples like pi and non-perfect square roots.

What is the smallest natural number?

• 0

• 1

• 2

• -1

Which number is added to natural numbers to form whole numbers?

• -1

• 1

• 10

• 0

What additional elements are included in integers that are not in whole numbers?

• Fractions

• Negative numbers

• Positive numbers

• Decimals

Which of the following is a characteristic of rational numbers?

• Non-repeating decimals

• Non-terminating decimals

• Terminating decimals

• Irrational values

Which example represents a repeating decimal?

• 1.414213

• 3.14159

• 0.333...

• 0.123456789

How can whole numbers be represented as rational numbers?

• By adding a decimal

• As a fraction over one

• None of the above

• By subtracting one

What makes a number irrational?

• It is a whole number

• Its decimal form neither stops nor repeats

• Its decimal form repeats

• It can be expressed as a fraction

Which of the following numbers is irrational?

• 2/3

• 0.75

• Square root of 2

• 0.333...

What is the decimal expansion of pi (π)?

• Non-terminating and non-repeating

• Repeating

• None of the above

• Terminating

Which type of number is the square root of a non-perfect square?

• Rational

• Natural

• Irrational

• Integer