The properties of equality
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Description
Table 4. The properties of equality. Here a, b and c stand for arbitrary numbers in the rational, real, or complex number systems.
Reflexive property of equality | a = a |
Symmetric property of equality | If a = b, then b = a. |
Transitive property of equality | If a = b and b = c, then a = c. |
Addition property of equality | If a = b, then a + c = b + c. |
Subtraction property of equality | If a = b, then a – c = b – c. |
Multiplication property of equality | If a = b, then a x c = b x c. |
Division property of equality | If a = b and c ≠ 0, then a ¸c = b ¸ c. |
Substitution property of equality | If a = b, then b may be substituted for a
in any expression containing a. |
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