Hello students, Previously we have discussed about subtracting integers worksheet and In today's session we are going to discuss about Distributive law and prepositions which comes under state board of maharashtra syllabus, In mathematics we study many laws like distributive, idempotent, complement, and associative laws. In this session, we are going to discuss the Distributive Law and Prepositions which are generally used in various fields of mathematics. These laws come in Boolean Algebra laws and are basic laws of the algebra too for showing logical equivalence (i.e. a kind of relationship between the two expressions).
The Common Distributive Law can be stated for all real number x, y and z as:
x ( y + z ) = x y + x z
The statements x ( y + z ) define the order in which we will add the y and z values then multiply x by the result.
The statements x y + x z define the order in which we multiply x and y, then multiply x and z and then add the multiplied results.(Know more about Distributive law in broad manner, here,)
Just take an example to understand it: -
x = 4, y = 5, z = 6
The distributive law is x ( y + z ) = x y + x z
Solution: - 4 (5 + 6 ) = 4 . 5 + 4 . 6
Note :- ( . ) dot operator specifies the multiplication.
4 ( 11 ) = 20 + 24
44 = 44
The Distributive law in terms of logical equivalence (explained with the help of prepositions which can be defined as symbols that show mathematical relationship between two statements) is:-
P ∧ ( Q v R ) = ( P ∧ Q ) v ( P ∧ R )
P v ( Q ∧ R ) = ( P v Q ) ∧ ( P v R )
Where preposition ∧ is used for AND, and v for OR operation.
So these laws describes the two different ways but both ways produce same results.
In the next session we are going to discuss online tutors homework help
and if anyone want to know about Congruence and Similarity then they can refer Internet and text books for understanding it more precisely.
The Common Distributive Law can be stated for all real number x, y and z as:
x ( y + z ) = x y + x z
The statements x ( y + z ) define the order in which we will add the y and z values then multiply x by the result.
The statements x y + x z define the order in which we multiply x and y, then multiply x and z and then add the multiplied results.(Know more about Distributive law in broad manner, here,)
Just take an example to understand it: -
x = 4, y = 5, z = 6
The distributive law is x ( y + z ) = x y + x z
Solution: - 4 (5 + 6 ) = 4 . 5 + 4 . 6
Note :- ( . ) dot operator specifies the multiplication.
4 ( 11 ) = 20 + 24
44 = 44
The Distributive law in terms of logical equivalence (explained with the help of prepositions which can be defined as symbols that show mathematical relationship between two statements) is:-
P ∧ ( Q v R ) = ( P ∧ Q ) v ( P ∧ R )
P v ( Q ∧ R ) = ( P v Q ) ∧ ( P v R )
Where preposition ∧ is used for AND, and v for OR operation.
So these laws describes the two different ways but both ways produce same results.
In the next session we are going to discuss online tutors homework help
and if anyone want to know about Congruence and Similarity then they can refer Internet and text books for understanding it more precisely.
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