Understanding the Commutative Laws in Mathematics | Addition and Multiplication Order of Operations Explained

Commutative laws

The commutative laws are a set of principles in mathematics that involve the order of operations in addition and multiplication

The commutative laws are a set of principles in mathematics that involve the order of operations in addition and multiplication. These laws state that changing the order of numbers being added or multiplied does not affect the result.

The commutative law of addition states that for any two numbers, a and b, the sum of a and b will be the same regardless of the order in which they are added. In other words, a + b = b + a. For example, 2 + 3 = 3 + 2 = 5. This law can be extended to include more than two numbers, so a + b + c = c + b + a.

The commutative law of multiplication states that for any two numbers, a and b, the product of a and b will be the same regardless of the order in which they are multiplied. In other words, a x b = b x a. For example, 2 x 3 = 3 x 2 = 6. This law can also be extended to include more than two numbers, so a x b x c = c x b x a.

These laws are fundamental properties of addition and multiplication and allow us to rearrange terms in equations or expressions without changing the outcome. They are commonly used in simplifying calculations and solving equations in mathematics.

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