# Properties of Real Numbers

These lessons, with videos, examples, and solutions, explain the properties of real numbers: Additive Identity Property, Multiplicative Identity Property, Additive Inverse Property, Multiplicative Inverse Property, Commutative Property of Addition, Commutative Property of Multiplication, Associative Property of Addition, Associative Property of Multiplication, Distributive Property.

The following table gives the Properties of Real Numbers. Scroll down the page for more examples and solutions using the properties of real numbers. Properties of Real Numbers
Defines the properties of real numbers and then provides examples of the properties by rewriting and simplifying expressions.These include the distributive property, factoring, the inverse properties, the identity properties, the commutative property, and the associative property.

Examples:
Use the properties of real numbers to rewrite and simplify each expression.
State which properties apply.

1. 4(7 + 5)
2. (3 + 9) + (-9)
3. 8 - (11 + 6)
4. 3/4 • (7/9 • 4/3)
5. 100[0.23 + (-1.78)]

Introductory Algebra - Properties Of Real Numbers
Commutative Law of Multiplication
Associative Law of Multiplication
Distributive Law

Properties of Real Numbers
Additive Identity Property, Multiplicative Identity Property, Additive Inverse Property, Multiplicative Inverse Property, Commutative Property of Addition, Commutative Property of Multiplication, Associative Property of Addition, Associative Property of Multiplication, Distributive Property, Absolute Value.

Properties of Real Numbers
Additive Identity Property, Multiplicative Identity Property, Additive Inverse Property, Multiplicative Inverse Property, Commutative Property of Addition, Commutative Property of Multiplication, Associative Property of Addition, Associative Property of Multiplication, Distributive Property.

Properties of Real Numbers
When analyzing data or solving problems with real numbers, it can be helpful to understand the properties of real numbers. These properties of real numbers, including the Associative, Commutative, Multiplicative and Additive Identity, Multiplicative and Additive Inverse, and Distributive Properties, can be used not only in proofs, but in understanding how to manipulate and solve equations.
How to define the properties of real numbers?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 