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Introduction to Algebra

Classifying Real Numbers - Example 1

In mathematics, a real number is a value that represents a quantity along a continuum, such as -5, 4/3, or ?. The set of all real numbers includes the integers and rational numbers, such as the fraction 4/3, but excludes complex numbers. The real numbers include all the rational numbers, such as 4/3, and all the irrational numbers, such as the square root of 2. The real numbers can be constructed from the rational numbers by completion, using Cauchy sequences, Dedekind cuts, or infinite decimals, or by using power sets, cardinal numbers, or transfinite numbers. The term "real" in "real number" is used in contrast with "imaginary" numbers, for example in the phrase "real part of a complex number". A real number is called a "complemented number" if it is rational and greater than 0, or "a positive real number" if it is positive and less than 0.

Julie Silva

Absolute Value - Example 1

Absolute Value - Example 2

Absolute Value - Example 3

Absolute Value - Example 4

Absolute Value - Overview

Adding and Subtracting Rational Numbers - Example 1

Adding and Subtracting Rational Numbers - Example 2

Adding and Subtracting Rational Numbers - Example 3

Adding and Subtracting Rational Numbers - Example 4

Adding and Subtracting Rational Numbers - Overview

Classifying Real Numbers - Example 1

Classifying Real Numbers - Example 2

Classifying Real Numbers - Example 3

Classifying Real Numbers - Example 4

Classifying Real Numbers - Overview

Divide Rational Numbers - Example 1

Divide Rational Numbers - Example 2

Divide Rational Numbers - Example 3

Divide Rational Numbers - Example 4

Divide Rational Numbers - Overview

Equations and Inequalities - Example 1

Equations and Inequalities - Example 2

Equations and Inequalities - Example 3

Equations and Inequalities - Example 4

Equations and Inequalities - Overview

Evaluate Algebraic Expressions - Example 1

Evaluate Algebraic Expressions - Example 2

Evaluate Algebraic Expressions - Example 3

Evaluate Algebraic Expressions - Example 4

Evaluate Algebraic Expressions - Overview

Exponents and Powers - Example 1

Exponents and Powers - Example 2

Exponents and Powers - Example 3

Exponents and Powers - Example 4

Exponents and Powers - Overview

Multiply Rational Numbers - Example 1

Multiply Rational Numbers - Example 2

Multiply Rational Numbers - Example 3

Multiply Rational Numbers - Example 4

Multiply Rational Numbers - Overview

Order of Operations - Example 1

Order of Operations - Example 2

Order of Operations - Example 3

Order of Operations - Example 4

Order of Operations - Overview

Simplify Expressions and the Distributive Property - Example 1

Simplify Expressions and the Distributive Property - Example 2

Simplify Expressions and the Distributive Property - Example 3

Simplify Expressions and the Distributive Property - Example 4

Simplify Expressions and the Distributive Property - Overview

Translate Words into Algebraic Expressions - Example 1

Translate Words into Algebraic Expressions - Example 2

Translate Words into Algebraic Expressions - Example 3

Translate Words into Algebraic Expressions - Example 4

Translate Words into Algebraic Expressions - Overview

Variables and Expressions - Example 1

Variables and Expressions - Example 2

Variables and Expressions - Example 3

Variables and Expressions - Example 4

Variables and Expressions - Overview