Question

write the rule of closure property
cammutative property and Assocative
property of addition with example​

Answer 1

Step-by-step explanation:

Closure property :

For two rational numbers say x and y the results of addition, subtraction and multiplication operations give a rational number. We can say that rational numbers are closed under addition, subtraction and multiplication. For example:

(7/6)+(2/5) = 47/30

(5/6) – (1/3) = 1/2

(2/5). (3/7) = 6/3

Commutative Property :

For rational numbers, addition and multiplication are commutative.

Commutative law of addition: a+b = b+a

Commutative law of multiplication: a×b = b×a

For example:

Commutative law example

Subtraction is not commutative property i.e. a-b ≠ b-a. This can be understood clearly with the following example:

Commutative law - subtraction LHS

Whereas

Commutative law - subtraction RHS

The division is also not commutative i.e. a/b ≠ b/a, since,

Commutative law - Division LHS

Whereas,

Commutative law - Division RHS

Answer 2

Closure property for addition
Ex: 0+5=5

Commutative property for addition
Ex:0+7=7+0=7

Associative property for addition
Ex: 2+(3+4)=(2+3)+4