Final answer:
The properties of operations in mathematics describe how operations behave. They include the commutative, associative, distributive, and identity properties.
Step-by-step explanation:
The properties of operations in mathematics are used to describe how operations such as addition, multiplication, and subtraction behave. The examples provided for each property help illustrate their application:
- Commutative Property of Addition: The order of the numbers being added doesn't affect the sum. For example, 3 + 4 = 4 + 3.
- Associative Property of Multiplication: The grouping of numbers being multiplied doesn't affect the product. For example, (2 * 3) * 4 = 2 * (3 * 4).
- Distributive Property: Multiplication distributes over addition. For example, 2 * (5 + 7) = (2 * 5) + (2 * 7).
- Identity Property of Addition: Adding zero to any number does not change the number. For example, 5 + 0 = 5.