What are the 7 properties of operations in math?

Answer 1

The seven properties of operations in math are:

1. Commutative Property: The order of addition or multiplication does not affect the result (e.g., (a + b = b + a) and (a \times b = b \times a)).
2. Associative Property: The way numbers are grouped in addition or multiplication does not change the result (e.g., ((a + b) + c = a + (b + c)) and ((a \times b) \times c = a \times (b \times c))).
3. Distributive Property: Multiplication distributes over addition (e.g., (a \times (b + c) = a \times b + a \times c)).
4. Identity Property: Adding zero or multiplying by one yields the same number (e.g., (a + 0 = a) and (a \times 1 = a)).
5. Inverse Property: Each number has an additive inverse (e.g., (a + (-a) = 0)) and a multiplicative inverse (e.g., (a \times \frac{1}{a} = 1) for (a \neq 0)).
6. Zero Property of Multiplication: Any number multiplied by zero results in zero (e.g., (a \times 0 = 0)).
7. Closure Property: The sum or product of any two numbers within a set results in a number that is also within that set.