Math Homework. Do It Faster, Learn It Better.
Properties of Equality
The following are theproperties of equality for real numbers. Some textbooks list just a few of them, others list them all. These are the logical rules which allow you to balance, manipulate, and solve equations.
PROPERTIES OF EQUALITY
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Reflexive Property | For all real numbers,. A number equals itself. |
These three properties define anequivalence relation
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Symmetric Property | For all real numbers, if, then. Order of equality does not matter. |
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Transitive Property | For all real numbers, ifand, then. Two numbers equal to the same number are equal to each other. |
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Addition Property | For all real numbers, if, then. |
These properties allow you to balance and solve equations involving real numbers |
Subtraction Property | For all real numbers, if, then. |
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Multiplication Property | For all real numbers, if, then. |
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Division Property | For all real numbers, if, and, then. |
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Substitution Property | For all real numbers, if, thencan be substituted forin any expression. |
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Distributive Property | For all real numbers,
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For more, see the section on thedistributive property
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