Exploring the Real Number System

What is the primary focus of the real number system?

• Classifying sets of numbers

• Analyzing scientific data

• Solving algebraic equations

• Understanding geometric shapes

Which numbers are considered natural numbers?

• 0, 1, 2, 3, 4, ...

• -1, 0, 1, 2, 3, ...

• 1, 2, 3, 4, 5, ...

• All real numbers

Which of the following is not a characteristic of natural numbers?

• They start from one

• They are positive integers

• They are used for counting

• They include zero

What addition to natural numbers forms whole numbers?

• Fractional numbers

• The number zero

• Negative numbers

• Decimal numbers

What is the significance of zero in the context of whole numbers?

• It represents negative values

• It is the smallest natural number

• It initiates the set of whole numbers

• It is used only in irrational numbers

Which of the following is true about integers?

• Only positive numbers

• Positive, negative, and zero

• Only whole numbers

• Only fractions

What makes a number an integer?

• Being a positive or negative whole number, including zero

• Being a non-repeating decimal

• Being a whole number

• Being able to be expressed as a fraction

Which statement is true about rational numbers?

• They can be expressed as fractions

• They are only positive numbers

• They include non-repeating decimals

• They cannot be expressed as fractions

Which of these numbers is an example of an irrational number?

• 0.333...

• 3.14

• 8

• 2/3

Which of these is a true statement about irrational numbers?

• They can be expressed as simple fractions

• They include numbers like pi (π) and square roots of non-perfect squares

• They include repeating decimals

• They are always whole numbers