Rules of algebra | Improve Society

If a, b, c are any real numbers, the following rules of algebra hold.

Commutative law for addition

Associative law for addition

Commutative law for multiplication

Associative law for multiplication

Distributive law

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1 Commutative law for addition
2 Associative law for addition
3 Commutative law for multiplication
4 Associative law for multiplication
5 Distributive law

Commutative law for addition
$\displaystyle a + b = b + a$
Associative law for addition
$\displaystyle a + (b + c) = (a + b) + c$
Commutative law for multiplication
$\displaystyle ab = ba$
Associative law for multiplication
$\displaystyle a(bc) = (ab)c$
Distributive law
$\displaystyle a(b + c) = ab + ac$