Question

Which conjunction about whole numbers is true?

The sum of two even numbers is even and less than the addends.
The sum of two even numbers is even and greater than the addends.
The difference of two even numbers is odd and less than the larger number.
The difference of two even numbers is odd and greater than the larger number.

Answer 1

B

Explanation:

Just took the test

Answer 2

The sum of two even numbers is even and greater than the addends.

Explanation:

Let 2n and 2m be two even numbers.

The sum of these numbers is

`2n+2m`

Use distributive property:

`2(n+m)`

This number is even because 2 is its factor.

Note that

`2n+2m>2n\\ \\2n+2m>2m`

Thus, correct option is:

The sum of two even numbers is even and greater than the addends.