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When dealing with arithmetic operations, parentheses are used to represent the order in which operations should be performed.

Inside parentheses, the operations need to be completed first before moving on to other parts of the expression.

For example, in the expression \( (5-12)(19-4) \), you need to simplify each part inside the parentheses separately: \( 5 - 12 \) and \( 19 - 4 \).

This method ensures that your calculations are accurate, as per the rules of arithmetic operations.

• Identify expressions inside parentheses.
• Simplify these expressions first.

Once the expressions inside the parentheses are simplified, you can then proceed to multiplication or any other operations that follow.

Always remember: solving inside the parentheses first is crucial for achieving the correct final answer.

Subtraction is one of the fundamental arithmetic operations and involves taking one number away from another.

In the given problem, two sets of subtractions must be solved: \( 5 - 12 \) and \( 19 - 4 \).

Here's a brief explanation of each:

• Subtraction can result in a negative number if you subtract a larger number from a smaller one, as seen in \( 5 - 12 = -7 \).
• When subtracting a smaller number from a larger one, as in \( 19 - 4 = 15 \), the result is positive.

Subtraction is straightforward when you perform it step-by-step.
First, write down the larger number, then subtract the smaller one.
If you're dealing with negative results, always keep track of the sign.

Multiplication is another essential arithmetic operation and involves combining groups of numbers to get a total.

In the step-by-step solution, after simplifying the parentheses, you multiply the results: \( -7 \times 15 \).

Here's some insight:

• When you multiply a negative number by a positive number, the result is always negative.
• In the provided example, \( -7 \times 15 = -105 \).

To perform multiplication correctly, remember to follow these steps:

• Multiply the absolute values of the numbers first (ignore the signs).
• Determine the sign of the result based on the signs of the numbers being multiplied.

Understanding these basic rules will help you handle multiplication in any arithmetic problem efficiently.