The Commutative Property: Simplifying Mathematical Expressions.

commutative property

Changing the order of addition or multiplication does not change the value. Ex: a+b+c = c+a+b

The commutative property is a fundamental concept in mathematics that is used in many different areas including algebra, arithmetic, and calculus.

The commutative property states that the order in which two numbers are added or multiplied does not affect their sum or product. In other words, when we add or multiply two numbers, we can switch their positions without changing the outcome.

For example, if we have the expression 2 + 3, we can switch the order to 3 + 2 and still get the same result of 5. Similarly, if we have the expression 4 × 7, we can switch the order to 7 × 4 and still get the same result of 28.

This property applies to addition and multiplication only and does not apply to subtraction or division. For instance, if we have the expression 7 – 4, we cannot switch the order to 4 – 7 and get the same result.

The commutative property is important in simplifying mathematical expressions and reducing the amount of work required to solve problems.

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