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When we talk about simplifying math expressions, we mean making them as easy to work with as possible. For instance, if you have the expression 'the product of 15 and 905,' you can simplify it by actually calculating the product.
The word 'product' means the result of multiplying two or more numbers. Here, '15' and '905' are the numbers, so we set it up as:
\(15 \times 905\). This simplifies to \(13575\) by performing the multiplication. Simplifying doesn't always mean reducing to a smaller number; it can also mean making an expression more understandable.
It's like cleaning up your workspace so you can find and use your tools more easily.

Basic arithmetic includes operations like addition, subtraction, multiplication, and division. Multiplication, in this context, is combining multiple groups of a number to form a larger total.
For our problem, we are multiplying 15 by 905. This involves basic multiplication, where you align the numbers and multiply each digit. It helps if you know your multiplication tables. Here's a simple way to multiply large numbers:

• First, multiply 15 by 5, which is 75.
• Next, multiply 15 by 900. Since 900 is the same as 9 times 100, you can first find 15 times 9, which is 135, and then multiply by 100, giving 13500.
• Finally, add the two results: 75 + 13500 = 13575.

Understanding basic arithmetic is crucial as it's the foundation of all advanced math topics. It's essential to practice these operations to get faster and more accurate.

Solving math problems typically involves a series of clear steps. Follow these steps to solve our example problem:
1. **Understand the Problem:** Re-read the problem statement. Here, 'the product of 15 and 905' means you need to multiply these numbers.
2. **Set Up the Multiplication:** Write down the multiplication expression: \(15 \times 905\).
3. **Perform the Multiplication:** Do the calculation. You can break down the multiplication into smaller parts if needed, like: \(15 \times 5 = 75\) and \(15 \times 900 = 13500\), then add these results: \(75 + 13500 = 13575\).
4. **Simplify the Result:** The simplified result or the actual product is \(13575\). By going through these steps methodically, you ensure that you fully understand and correctly solve the problem.
Following problem-solving steps helps to organize your thoughts and ensures you don't miss any part of the problem. This methodical approach is valuable in any math problem you face.