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Negative numbers can be a bit confusing at first, but they become very simple once you get the hang of them. A negative number is any number less than zero. They are often used to represent a deficit or a decrease. For example, if you owe someone $4, you have a negative amount of money, represented as -4.

Negative numbers are often paired with positive numbers to show contrast. If you have 7 cookies and owe someone 4 cookies, you can think of it as 7 - 4, or applying the concept of negative numbers, as having 7 and -4. It is this idea that gets used in arithmetic operations, like multiplication, which we'll discuss further.

One of the fundamental rules of multiplication is understanding how to handle positive and negative numbers. When multiplying numbers, the signs of the numbers matter.

The basic multiplication rules for signs are:

• Positive × Positive = Positive
• Negative × Negative = Positive
• Positive × Negative = Negative
• Negative × Positive = Negative

These rules apply because multiplication is essentially repeated addition. Adding a negative repeatedly (or negatively) gives a negative result. So when you multiply a positive number by a negative number, the outcome is negative. This concept is crucial when working with numbers like 7 and -4, resulting in -28 due to the negative sign.

Arithmetic is one of the core strands of mathematics that deals with numbers and basic operations: addition, subtraction, multiplication, and division. Improving arithmetic skills forms the foundation for tackling more complex math problems.

In our example with 7 and -4, multiplication comes into play. To perform any arithmetic operation, it's useful to understand the fundamental nature of numbers, both positive and negative. These skills enable you to solve problems efficiently and correctly. Practicing multiplication with varying signs helps solidify the understanding of how numbers behave in different mathematical contexts. Remembering the rules and consistently practicing them is key to mastering basic arithmetic.