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Mathematics often involves calculations with multiple steps. To get the correct answer, you must perform these steps in a specific order. This is known as the order of operations. The acronym PEMDAS helps remember this order:

• **P**arentheses
• **E**xponents
• **M**ultiplication and **D**ivision (from left to right)
• **A**ddition and **S**ubtraction (from left to right)

Let's break this down. Parentheses mean you solve expressions inside parentheses first. Next, you calculate exponents. Then, you handle multiplication and division, starting from the leftmost operation and moving right. Finally, you do addition and subtraction, also from left to right.

For example, in the exercise given: \(15 + 5 \times 2\), you first perform the multiplication, \(5 \times 2\), before doing the addition. Following PEMDAS ensures you get the correct result.

According to PEMDAS, multiplication comes before addition. This rule is crucial for simplifying expressions correctly. In our exercise, you need to multiply 5 by 2 before adding 15.

Step-by-step, it looks like this:
1. First, identify the multiplication in the expression: \(5 \times 2\).
2. Then, perform the multiplication to get \(10\).

After calculating the multiplication, you can proceed with the addition part of the problem.

Simplifying expressions involves breaking them down into simpler steps using the order of operations. Here, each part of the problem is addressed in sequence.

Let's simplify \(15 + 5 \times 2\):
1. Recognize the multiplication comes first: \(5 \times 2 = 10\).
2. Take the result of the multiplication and add it to 15: \(15 + 10 = 25\).

So, by following these steps, you simplified the expression to get the final answer: 25. Understanding each operation and performing them correctly ensures that your math results are accurate.