Question

what are the operations are satisfied under closure property in a set of whole numbers ?
​

Answer 1

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.

January 17, 2020Akshay Kohli

SHARE

ANSWER

Closure property for addition : 

If a and b are two whole numbers and their sum is c, i.e. a+b=c, then c is will always a whole number.

For any two whole numbers a and b, (a+b) is also a whole number. For example:

3+4=7 which is also a whole number. 

But 3−4=−1 which is not a whole number.

So, the property of closure for subtraction is not always true.

Closure property for multiplication : 

If a and b are whole numbers then their multiplication is also a whole number.

For any two whole numbers a and b, (a×b) is also a whole number.For example:

30×7=210 which is also a whole number. 

But property of closure is not always true for division. For example:

45÷0= not defined 

As division with zero is not possible.

Hence, closure property is satisfied in whole numbers w.r.t. to addition and multiplication.

Answer 2

Answer:

Hence closure property is satisfied in whole numbers with respect to addition and multiplication. Therefore, option (C). Addition and multiplication are the correct answer.

Step-by-step explanation:

hope it helps you ^_^

.

.

.

.

♡