which of the following properties are satisfied by set of rational numbers.
a《closure》b《associative》
c《distributive》
Answers
GOOD QUESTION! I WILL EXPLAIN YOU ALL THOSE ABOUT RATIONAL NUMBERS!
#Firstly What are rational numbers
★The numbers which are of the form p/q, where p,q are integers and q≠0 are rational numbers.
=============================================
✦ Closure property
When two numbers of a set are done through any fundamental operations the resulting number must belong to the set
Let's take an example of Rational numbers
2/3+3/4
8+9/12
=17/12
Thus, Rational numbers satisfy closure property under addition
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✦ Associate property
Theresult obtained in rearrangement of processing a fundamental operation is equal to the results obtained without rearrangement
a+(b+c)=(a+b)+c
Example :- 2+(3+4)= (2+3)+4
9=9
Rational numbers satisfy Associative properties under addition
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(C)Distributive property
a*(b+c)=ab+bc
example :-
1/2*(2/7+5/7)=1/2*2/7+1/2*5/7
1/2*7/7=2/14+5/14
1/2*1=7/14
1/2=1/2
Distributive law is obeyed by set of Rational numbers
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Note :- Generally ,the properties like closure ,associative ,commutative ,distributive are referred to multiplication ,addition
We don't consider subtraction ,division as they are satisfied by only some sets and have a lot of exceptions
✪ Thus rational numbers satisfy the given properties ✪
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Answer:
GOOD QUESTION! I WILL EXPLAIN YOU ALL THOSE ABOUT RATIONAL NUMBERS!
#Firstly What are rational numbers
★The numbers which are of the form p/q, where p,q are integers and q≠0 are rational numbers.
=============================================
✦ Closure property
When two numbers of a set are done through any fundamental operations the resulting number must belong to the set
Let's take an example of Rational numbers
2/3+3/4
8+9/12
=17/12
Thus, Rational numbers satisfy closure property under addition
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
✦ Associate property
Theresult obtained in rearrangement of processing a fundamental operation is equal to the results obtained without rearrangement
a+(b+c)=(a+b)+c
Example :- 2+(3+4)= (2+3)+4
9=9
Rational numbers satisfy Associative properties under addition
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(C)Distributive property
a*(b+c)=ab+bc
example :-
1/2*(2/7+5/7)=1/2*2/7+1/2*5/7
1/2*7/7=2/14+5/14
1/2*1=7/14
1/2=1/2
Distributive law is obeyed by set of Rational numbers
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Note :- Generally ,the properties like closure ,associative ,commutative ,distributive are referred to multiplication ,addition
We don't consider subtraction ,division as they are satisfied by only some sets and have a lot of exceptions
✪ Thus rational numbers satisfy the given properties ✪
« Hope helped »
For further clarifications,informations ,doubts
Contact me
-Praneeth
✪ Brainly benefactor ✪