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A squared number is a term we use to describe a number that has been multiplied by itself. This is often seen in math problems and can be easily identified by the small "2" placed to the upper right of a number, or in other words, its exponent. For instance, in the exercise above, we see the expression \(5^2\). Here, 5 is the base, and the 2 indicates that 5 is being squared. The squared value of a number shows us the area of a square with sides of that length. Therefore, squaring a number is effectively combining the number with itself, showing growth in two dimensions. In our example, multiplying 5 by itself, \(5 \times 5\), we get 25, so \(5^2 = 25\).

Basic arithmetic is the foundation of all math. It includes addition, subtraction, multiplication, and division, which are operations that help us manipulate numbers in various ways. To solve \(5^2\), we primarily focus on multiplication within basic arithmetic. Multiplication is the repeated addition of the same number. Here, when we say \(5^2\), it means we are adding 5 to itself five times as part of the squaring process, resulting in the multiplication \(5 \times 5\).

• Addition – finds the total of two or more numbers.
• Subtraction – calculates the difference between numbers.
• Multiplication – combines equal groups of values, like in squaring.
• Division – distributes a number into equal parts.

With a solid grasp of these operations, evaluating expressions becomes much simpler.

Mathematical operations are the processes we use to solve problems involving numbers. In evaluating squared numbers, multiplication is the primary operation used. The order of operations is crucial when performing calculations involving many steps. This is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Since squaring uses exponents, it is one of the initial steps when following this order. While looking at \(5^2\), we aren't adding or subtracting multiple terms, which simplifies the process. Understanding operations are essential as they provide the rules required to systematically work through mathematical problems and arrive at the correct answer.