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Prealgebra is an essential foundation for all future math learning. It includes basic arithmetic and the introduction of concepts like variables and expressions. In prealgebra, you learn how to manipulate numbers and symbols to solve problems. This stage involves understanding how operations are performed and learning the rules that govern these operations.

Simplifying expressions is a key skill you develop in prealgebra. An expression is a mathematical phrase that can include numbers, variables, and operations (like addition or multiplication). Simplification means making the expression as simple as possible by performing the operations and combining like terms. This exercise, which involves simplifying \( -(p) \), is a great example of applying basic prealgebra skills. The goal is to reduce expressions to a form that is easier to understand or solve.

Negative numbers can be a tricky concept at first. They represent values less than zero and are often used to express a decrease or a loss. In mathematics, the negative sign (\(-\)) in front of a number signals that the number is less than zero.

When simplifying expressions with negative numbers, you're essentially performing operations that involve reversing the value's sign. For instance, multiplying by \(-1\) switches the sign of a number or a variable. In our exercise, the \( -(p) \) becomes \(-1 \times p\), indicating that the positive value has been converted to its negative counterpart.

Variables are symbols used to represent unknown values and are a fundamental concept in algebra. They can stand in for numbers and allow for the formulation of general equations and expressions. Prealgebra introduces variables, often represented by letters like \(p\), \(x\), or \(y\).

In the context of simplifying expressions, understanding the role of variables is crucial. They behave like numbers, so you can perform arithmetic operations on them. In our exercise, \(p\) is a variable. When you simplify \(-1 \times p\), you just treat \(p\) as you would any number and apply the multiplication. This results in \(-p\), which is the expression's simplified form. Understanding how variables interact with numbers and operations is a vital step in mastering algebra.