COMMUTATIVE LAW Meaning and
Definition
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The commutative law, also known as the commutativity property, is a fundamental concept in mathematics that governs the order in which operations are performed and the way in which the results are manipulated. This law states that the order of the operands does not affect the outcome when performing certain mathematical operations. In other words, the commutative law ensures that the result remains the same regardless of the order in which the operations are carried out.
In arithmetic, the commutative law applies to addition and multiplication. For addition, the law states that changing the order of the numbers being added does not change the sum. For example, 2 + 3 is the same as 3 + 2, both resulting in 5. Similarly, for multiplication, the commutative law states that changing the order of the factors does not alter the product. For instance, 2 × 3 is equal to 3 × 2, both yielding 6.
The commutative law also extends to more complex mathematical systems, such as algebra and set theory. In algebra, the commutative property applies to both addition and multiplication of variables and constants. In set theory, it applies to the union and intersection of sets.
In summary, the commutative law ensures that specific operations yield the same result regardless of the order in which they are performed, serving as a fundamental principle in many areas of mathematics.
Common Misspellings for COMMUTATIVE LAW
- xommutative law
- vommutative law
- fommutative law
- dommutative law
- cimmutative law
- ckmmutative law
- clmmutative law
- cpmmutative law
- c0mmutative law
- c9mmutative law
- conmutative law
- cokmutative law
- cojmutative law
- comnutative law
- comkutative law
- comjutative law
- commytative law
- commhtative law
- commjtative law
- commitative law
Etymology of COMMUTATIVE LAW
The word "commutative" is derived from the Latin word "commutare", which means "to change" or "to exchange". The term "commutative law" describes a mathematical property in which the order of the operands does not affect the outcome of an operation. In other words, it refers to a property of an operation that remains the same when the order of the operands is changed. The term is commonly used in algebra and arithmetic, particularly when referring to addition and multiplication operations.
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