Question

Understanding the Closure Property

Answer 1

Option D:

The sum of any two real numbers is also a real number.

Solution:

Closure property of addition of real numbers:

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.