Introduction:
When adding a negative integer on a number line, the direction of movement depends on the value of the negative integer. Negative integers represent numbers less than zero and are denoted by a minus sign (-) before the number. In this explanation, we will focus on the movement to the right on a number line when adding negative integers.

Movement to the Right:
Adding a negative integer on a number line involves moving to the right. Here's the detailed explanation of how this movement occurs:

1. Starting Point:
We begin at a specific point on the number line, which acts as our reference point. Let's assume we start at the number zero (0) for simplicity.

2. Positive Integers:
Positive integers represent numbers greater than zero and are located to the right of the starting point. When adding positive integers, we move further to the right on the number line. For example, if we add +3, we move three units to the right from our starting point.

3. Negative Integers:
Negative integers represent numbers less than zero and are located to the left of the starting point. When adding a negative integer, we need to move to the right on the number line. This might seem counterintuitive at first, but let's understand the concept behind it.

4. Conceptual Understanding:
Adding a negative integer is equivalent to subtracting a positive integer. For example, adding -3 is the same as subtracting 3. When we subtract, we move to the left on the number line. However, to maintain consistency with addition operations, instead of moving to the left, we move an equal number of units to the right. This results in a decrease in our numerical value but an increase in our position on the number line.

5. Movement to the Right:
To move to the right when adding a negative integer, we need to visualize it as subtracting a positive integer. By doing so, we maintain the directionality of addition on the number line. The magnitude or absolute value of the negative integer determines how many units we move to the right. For example, adding -3 means moving three units to the right.

Conclusion:
When adding a negative integer on a number line, we move to the right. This movement is a result of conceptualizing the addition of negative integers as subtraction of positive integers while maintaining the directionality of addition operations on the number line. The magnitude of the negative integer determines the number of units we move to the right.

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