Chapter 5, Problem 1NT

Now Try this 1

Explain whether the sum of two negative integers is always negative.

To determine

Toexplain:

Whether the sum of two negative integers is always negative.

Answer to Problem 1NT

Solution:

Yes, the sum of two negative integers is always negative.

Explanation of Solution

Given:

The sum of two negative integers is always negative.

Approach:

Use the property of addition and the number line model for addition.

Calculation:

Figure $1$

In figure $1$, if a number is negative, we will move backward on a number line. For example: Suppose the negative integers are $2$ and $4$, then we will move backward on the number line, hence there sum will always be negative.