Commutative property

By reversing the order of the operands, the result does not change. The commutative property is a fundamental property of addition and multiplication

An operation is called binary when it combines two elements called operands to produce a third element: the result of the operation.

The commutative property applies to some binary operations. It states that the result of these operations does not change if we reverse the order in which the two operands are combined.

It applies to both addition and multiplication.

Addition

Given two numbers 𝑥 and 𝑦, the commutative property of addition states that 𝑥 + y = y + x. Its application is pretty simple. For example, 5 + 8 = 13; symmetrically, 8 + 5 = 13.

From an intuitive point of view, the truth of this identity can be verified through a number line, as shown in the following image.

If we make two consecutive jumps of 5 and 8 units on the number line, we arrive at 13. If we reverse the sequence, first making a jump of 8 units and then of 5, we…