. Closure property is satisfied in whole numbers w.r.t. to ......... and .........
A: addition and subtraction
B: addition and division
C: addition and multiplication
D: multiplication and division.
Best Answer
Explanation:
Whole number is said to be closed under an operation if and only if the operation performed on the number of the whole numbers produces a number that is also a whole number.
Hence, the sum of any two whole numbers is a whole number i.e. the collection of whole numbers is closed under addition.
And the multiplication of two whole numbers is also a whole number again. So, the system of whole numbers is closed under multiplication.
The subtraction of two whole numbers is not a whole number. For example, 3 and 5 are whole numbers but 3 - 5 = - 5 is not the whole number.
Similarly, 
is not a whole number. Hence, the whole number is not closed under subtraction and division.
Therefore, the closure property is satisfied in whole numbers w.r.t addition and multiplication.
Correct option is: (C) addition and multiplication.
That is, the closure property is satisfied in whole numbers w.r.t addition and multiplication.
Related questions
