FUNDAMENTAL PROPERTIES OF MATHEMATICS

 Few fundamental or basic properties of mathematics-

1. Commutative Property: The order of operands Eg: 1 + 2 = 2 + 1.
2. Associative Property: The grouping of operands doesn't affect the result in addition and multiplication. Eg: (1 + 2) + 3 = 1 + (2 + 3).
3. Distributive Property: Multiplication can be distributed over addition or subtraction. Eg: 1×(2 + 3)=(1×2)+(1×3).
4. Identity Property: The sum of any number and zero is the number itself, and the product of any number and one is the number itself. Eg: 1+0=1 and 2×1=2
5. Inverse Property- Additive inverse: The opposite of the number that when added gives zero. Eg: 2 and -2 Multiplicative inverse: the reciprocal of the number that when multiplied gives one. Eg: 3 and 1/3
6. Transitive Property: If a equals b and b equals c, then a equals c. Eg: m=n and n=w, then m = w.
7. Symmetric Property: If a equals b, then b equals a. Eg: if x + 1 = 2, then 2 = x + 1.
8. Reflexive Property: a = a. This property is a basic property of equality, which states that anything is equal to itself.
9. Transposition Property: If a = b, then a + c = b + c and a - c = b - c. This property allows us to change the order of terms in an equation by adding or subtracting the same value to both sides.