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Negative numbers are numbers that are less than zero. They are typically written with a minus sign (-) in front, like \text{ewline}-1, -5, or -72. In arithmetic, negative numbers can be added, subtracted, multiplied, and divided just like positive numbers. One important rule to remember when dealing with negative numbers is that two negatives make a positive. This is especially important in division. For example, when you divide -\(72\) by -\(9\), the two negatives cancel each other out, resulting in a positive \(8\). Understanding negative numbers is crucial because they appear frequently in math problems. Pay attention to the signs, as they will guide you in finding the correct result.

Division is one of the four basic arithmetic operations. The purpose of division is to determine how many times one number is contained within another. Here are a few important rules to keep in mind:

• Dividing two positives yields a positive result (\(72 \text{div} 9 = 8\)).
• Dividing two negative numbers also gives a positive result (\(-72 \text{ and}-9\)). In this case, \(-72 \text{ div}-9=8\).
• Dividing a positive number by a negative number gives a negative result . For instance, \(72 \text{div}-9\) results in \(-8\).
• Just like multiplication, division is not commutative . \(a \text{div} b ot \text{equal} b \text{div} a\)

improvements come down to remembering these core rules and applying them correctly.

Basic arithmetic operations include addition, subtraction, multiplication, and division. These operations are fundamental to all levels of math and are used in everyday life.
Here's a quick refresher:

• Addition: Combining two or more numbers to get a sum. For example, \(3+5=8\).
• Subtraction: Finding the difference between two numbers , such as \(10 \text {sub} 4=6\).
• Multiplication: Scaling one number by another . For instance, \(3 \times 4=12\).
• Division: Determining how many times one number is contained by another , like \(20\text { div} 4=5\).

These basic operations follow specific rules and properties that help in simplifying complex problems. Remembering these can help you tackle any arithmetic challenge.