Real Number System

What is the square root of 9?

• 2

• 3

• 4

• 5

What is the difference between rational and irrational numbers?

• Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions.

• Both rational and irrational numbers can be expressed as fractions.

• Rational numbers are always whole numbers, while irrational numbers are decimals.

• Irrational numbers can be expressed as fractions, while rational numbers cannot.

What are integers?

• Whole numbers that can be positive, negative, or zero (..., -3, -2, -1, 0, 1, 2, 3, ...).

• Only positive whole numbers (1, 2, 3, ...).

• Only negative whole numbers (..., -3, -2, -1).

• Decimal numbers that can be positive or negative (e.g., -1.5, 0.5, 2.3).

What are whole numbers?

• The set of all integers including negative numbers.

• The set of natural numbers including zero (0, 1, 2, 3, ...).

• The set of rational numbers that can be expressed as fractions.

• The set of all real numbers including decimals.

What are rational numbers?

• Numbers that can be expressed as a fraction @@\frac{a}{b}@@ where @@b \neq 0@@.

• Numbers that can only be whole numbers.

• Numbers that cannot be expressed as a fraction.

• Numbers that are always negative.

Give an example of a rational number.

• @@rac{1}{2}@@

• @@rac{3}{0}@@

• @@rac{ ext{sqrt}(2)}{1}@@

• @@rac{5}{3}@@

What is the set of real numbers?

• The set of real numbers includes all rational and irrational numbers.

• The set of real numbers includes only whole numbers.

• The set of real numbers includes only positive numbers.

• The set of real numbers includes all integers and fractions.

What is the significance of the number line in the real number system?

• It visually represents all real numbers, showing the relationship between different types of numbers.

• It is used to perform arithmetic operations only.

• It represents only positive integers and fractions.

• It is a tool for measuring angles in geometry.

What are natural numbers?

• The set of all integers, including negative numbers.

• The set of positive integers starting from 1 (1, 2, 3, ...).

• The set of all whole numbers, including zero.

• The set of rational numbers that can be expressed as fractions.

What is a real number?

• A number that can be expressed as a fraction of two integers.

• A number that can be found on the number line, including both rational and irrational numbers.

• A number that is only a whole number or a fraction.

• A number that cannot be expressed in decimal form.