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Parentheses are an essential part of mathematical expressions and act as a way to organize operations that need to be performed first. This is part of the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). You'll always want to start with solving whatever is inside of these parentheses before moving on to other computations outside of them.
For instance, in the expression \( (3 + 15) \), the addition inside the parentheses is your first step. You calculate \( 3 + 15 = 18 \), simplifying the expression within the parentheses.
Think of parentheses as signal flags that say, "Hey, start here!" This keeps the math structured and ensures complex operations are correctly solved step-by-step.

Division is all about splitting something into equal parts. In math, it is essential to find how many times a number can fit into another. It often comes after any operations within parentheses in the order of operations.
In our example, moving to the division, we divide \(10\) by \(2\). This means you are looking at how many groups of \(2\) can fit into \(10\). Performing the division \( \frac{10}{2} = 5 \) gives you the answer, creating one of the key steps before multiplying in this mathematical task.
Always remember to handle division carefully and accurately to maintain the integrity of your overall calculation.

Multiplication is the mathematical process of scaling one number by another. It typically occurs after dealing with any parentheses and division parts in an expression according to the order of operations.
In our ongoing problem, once you have dealt with the parentheses and division, the next step requires multiplying \( 5 \) (the quotient from the division) by \( 18 \) (the simplified sum inside the parentheses). Performing this calculation gives you \( 5 \times 18 = 90 \).
When multiplying numbers, it's useful to think of it as repeated addition; you're essentially adding the number \(5\) together \(18\) times. Ensuring the multiplication is performed correctly is pivotal as it often forms the final stage in solving expressions with multiple operations.