Understand the Commutative Property of Addition and Multiplication in Mathematics

Commutative Property

The property that says that two or more numbers can be added or multiplied in any order without changing the result.

The commutative property is a mathematical principle that states that the order in which two numbers are added or multiplied does not affect the result. In other words, if we have two numbers, say a and b, then a + b = b + a and a × b = b × a.

For example, consider the addition of 3 and 5. We have 3 + 5 = 8. Using the commutative property, we can write this as 5 + 3 = 8, which is still true. Similarly, if we multiply 4 and 2, we get 8. Using the commutative property, we can write this as 2 × 4 = 8, which is still true.

The commutative property is applicable to both addition and multiplication. However, it is important to note that this property is not applicable to subtraction and division. For example, 4 – 2 is not equal to 2 – 4, and 8 ÷ 4 is not equal to 4 ÷ 8.

The commutative property is a fundamental property of arithmetic and is used extensively in solving mathematical problems in various fields.

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