Question

Closure property is satisfied in whole numbers w.r.t. to ......... and ......... .

• A. addition and division
• B. addition and subtraction
• C. addition and multiplication
• D. multiplication and division.

Answer 1

Answer: (C)

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 $b$, $(a\times b)$ is also a whole number.For example:

$30\times 7=210$ 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.