Mathematics Glossary » Table 4
Print this pageThe 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. |