Real Numbers

Real numbers are the set of numbers that include all rational and irrational numbers. They can be represented on the number line and are used to describe quantities and measurements in the real world.

Types of Real Numbers

Real numbers can be classified into different types:

• Natural Numbers: These are the counting numbers, such as 1, 2, 3, and so on.
• Whole Numbers: These include the natural numbers along with zero, such as 0, 1, 2, 3, and so on.
• Integers: These are the positive and negative whole numbers, along with zero, such as ..., -3, -2, -1, 0, 1, 2, 3, ...
• Rational Numbers: These are numbers that can be expressed as a ratio of two integers, such as 1/2, 3/4, and 5.
• Irrational Numbers: These are numbers that cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions, such as √2, π, and e.

Operations on Real Numbers

Real numbers can be operated on using the basic arithmetic operations:

• Addition: Combining two or more numbers to find their total.
• Subtraction: Finding the difference between two numbers.
• Multiplication: Repeated addition of a number.
• Division: Sharing a quantity into equal parts.

Real numbers are fundamental in mathematics and are used in various mathematical concepts such as algebra, geometry, and calculus.

[Real Numbers] Related Worksheets and Study Guides:

• Real numbersMathematics • Eighth Grade