Fundamental Operations of Algebra Flashcards
Define “commutative law”
The sum of two numbers is the same, regardless of the order which they are added
Define “associative law”
The sum of three of more numbers is the same, regardless which they are grouped for addition or multiplication
Define “distributive law”
The product of one number and the sum of two or more other numbers is equal to the sum of the products of the first number and each of the other numbers of the sum.
What are the “fundamental laws of algebra”
Commutative, associative, and distributive laws
Which two laws (fun. of algebra) do no apply to all operations?
Commutative and associative. Division cannot be commutative (order matters)
Commutative law of addition
a+b=b+a (identity)
Associative law of addition
a+(b+c)=(a+b)+c (identity)
Commutative law of multiplication
ab=ba (identity)
Associative law of multiplication
a(bc)=(ab)c (identity)
Distributive law
a(b+c)=ab+ac (identity)
Addition of two numbers of the same sign…..what do you do?
Add their absolute values and assign the sum of their common sign
Addition of two numbers of different signs
Subtract the number of smaller absolute value from the number of the larger absolute value and assign to the result of the sign of the number of larger absolute value
Subtraction of one number from another
Change the sign of the number being subtracted and change the subtraction to addition. Perform the addition
