Toggle Main Menu Toggle Search

### Fundamental Laws of Algebra (Economics)

#### Fundamental Laws of Algebra

The Fundamental Laws of Algebra are rules which we must follow when performing operations with numbers or variables.

#### Commutative Law

The commutative law says that the order in which we add or multiply two (or more) numbers doesn't matter: $a+b=b+a$ $a\times b=b\times a$

###### Examples:
• $5+10=10+5=15$
• $1+2+3=2+1+3=3+2+1=6$
• $5\times10=10\times5=50$
• $1\times2\times3=2\times1\times3=3\times2\times1=6$

#### Associative Law of Addition

The associative law says that when you add or multiply several numbers, the grouping (or association) of the numbers doesn't affect the result: $(a+b)+c=a+(b+c)$ $ab(c)=a(bc)$

###### Examples:
• $(7+5)+2=7+(5+2)=14$
• $(1+2+4)+5=(1+2)+(4+5)=12$
• $(5\times2)\times10=5\times(2\times10)=100$
• $(2\times3)\times(4\times1)=(2\times3\times4)\times1=24$

#### Distributive Law

The distributive law says that we get the same result whether we multiplying a number by a group of numbers added together or do each multiplication separately:

$a(b+c)=ab+ac$ $(a+b)c=ac+bc$

###### Examples:
• $5(4+2)=5\times4+5\times2=30$
• $1(3+10)=1\times3+1\times10=13$

#### More Support

You can get one-to-one support from Maths-Aid.