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When you're faced with a numerical expression like \((6+9)(8-4)\), knowing the order of operations is crucial. The rules that guide us in solving these expressions are commonly remembered by the acronym PEMDAS. This stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Following these rules ensures that everyone evaluates expressions the same way, consistently leading to the correct answer.
In our example, we first handle operations inside parentheses. This means we tackle the sum \(6 + 9\) and the difference \(8 - 4\) before moving on to any multiplication. Following the correct order avoids mistakes and maintains accuracy.

• Always address parentheses first.
• Next, solve any exponents (though there aren't any in this example).
• Then, perform multiplication and division from left to right.
• Finally, tackle addition and subtraction from left to right.

Let's dive into what comes after the parentheses: addition and subtraction.

In arithmetic, addition and subtraction often go hand in hand. They're essential operations you'll find in nearly every math problem. In the example \((6+9)(8-4)\), while these operations might seem straightforward, it's essential to execute them correctly as per the order of operations.
First, solve for \(6 + 9\). Here, since both numbers are positive, you simply add them to get \(15\).
Next, solve \(8 - 4\). For subtraction, you remove 4 from 8, leaving you with \(4\). This breaks down the expression so you can move to the next step, which is multiplication.
Don't forget, always evaluate the work done inside parentheses before applying any other operation, ensuring accuracy in multi-step problems.

Multiplication in mathematics helps us find how many times a certain number is contained within another. Once you've simplified expressions inside any parentheses, it's time to handle multiplication. In the expression \((6+9)(8-4)\), after obtaining results from parentheses, you multiply the results together.
Thus, take the \(15\) from \(6 + 9\) and the \(4\) from \(8 - 4\). Before multiplying, ensure both calculations are correct. Since you've followed the order of operations, all that's left is to multiply: \(15 \times 4\), resulting in \(60\).
By breaking the process down into manageable steps and adhering to rules of operations, you can simplify complex problems easily. Multiplication is a powerful tool in your math toolkit, making calculations faster and simpler once mastered.