Option D:
The sum of any two real numbers is also a real number.
Solution:
<u>Closure property of addition of real numbers:</u>
Sum of any two numbers is also a real number.
i.e., a + b = c
If a and b are real, then c is also a real number.
To find which illustrates the closure property of addition of real numbers:
Option A:
The sum of any two numbers is close to the product of those numbers.
It is not true because it is addition property not product.
Option B:
The sum of any two numbers is close to the difference of those numbers.
It is not true because it is addition property not difference.
Option C:
When you add 1 to a number you get the next closest number.
It is not true by the above definition.
Option D:
The sum of any two real numbers is also a real number.
This is the closure property of addition of real numbers.
It is true.
Hence the sum of any two real numbers is also a real number.
Option D is the correct answer.
