Commutative
In mathematics, commutative refers to a property that certain operations possess
In mathematics, commutative refers to a property that certain operations possess. The commutative property states that the order of operands (numbers or variables) does not affect the result of the operation.
For example, addition is a commutative operation. This means that if we have two numbers, say 2 and 3, and we add them in the order 2 + 3, the result is the same as if we add them in the order 3 + 2. In both cases, the sum is 5:
2 + 3 = 5
3 + 2 = 5
Another example is multiplication, which is also commutative. If we multiply two numbers, say 4 and 5, the order in which we multiply them does not affect the result:
4 × 5 = 20
5 × 4 = 20
However, not all operations are commutative. Subtraction and division, for example, do not possess the commutative property:
4 – 2 ≠ 2 – 4
4 ÷ 2 ≠ 2 ÷ 4
In both cases, the order of the operands changes the result.
The commutative property is useful in many areas of mathematics and is often used to simplify expressions and solve equations. It allows us to rearrange terms or factors without changing the value of the expression or equation.
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