91Ó°ÊÓ

Negative numbers are an essential part of mathematics and are used to represent values below zero. On a number line, negative numbers are found to the left of zero. Each negative number is smaller than zero, and the more you move to the left, the smaller the numbers become. For instance,

• \(-1\) is greater than \(-2\)
• which is greater than \(-3\), and so on.

Negative numbers are commonly used to express loss, like a temperature below freezing, or a bank account integer in debt. Understanding negative numbers through visual tools like a number line makes it easier to grasp how they interact with positive numbers during operations.

Positive numbers are values greater than zero. These numbers appear on the right side of zero on a number line. They are what we typically use to count and measure everyday items. Positive numbers increase as you move to the right along the number line.

For instance, 3 is greater than 2, which is greater than 1. It's straightforward to understand positive numbers because they're used in most daily transactions, unlike negative numbers, which often require a bit more visual aid like a number line to comprehend effectively.

• Positive numbers are used to denote quantities, such as the number of students in a class or the weight of an object.

When adding positive numbers to any value on the number line, you always move to the right, indicating an increase or increment of that number.

Integer operations involve addition, subtraction, multiplication, and division of whole numbers, which include both positive and negative numbers, as well as zero. The number line is an effective tool for understanding integer operations, especially addition and subtraction.

**Addition Using Number Line**
- To add a positive integer, move to the right.
- To add a negative integer, move to the left.
This understanding allows one to visualize operations, such as when adding \(-6\) and 3. Start at \(-6\), and move three steps to the right to reach \(-3\), showing that \(-6 + 3 = -3\).

**Why Use a Number Line?**
- Simplifies calculations, especially with negative numbers.
- Offers a tangible way to see integer operations.
Integer operations on a number line help in quickly determining how positive and negative values interact and the resulting sums or differences.