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When solving algebraic expressions, it's crucial to follow the **order of operations**, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). This helps ensure that calculations are done consistently and correctly.

In our example exercise, we first need to handle the expression within the parentheses: \(2-5\). According to PEMDAS, calculations inside parentheses are done first. This makes it easier to follow the rest of the steps logically. Once the parentheses are resolved to \(-3\), we can proceed with the next operations in order.

Always remember this sequence, since mixing up the order can lead to incorrect results!

To **evaluate an expression** means to find its value. Following the correct order of operations is essential here.

In our initial step: \(2-5\) was solved to get \(-3\). Next, we substitute this value back into the expression, transforming \(10-6(2-5)\) to \(10-6(-3)\).

In the next step, we have multiplication: \(6 \times -3\), which equals \(-18\). Then, we handle the subtraction of a negative number, which effectively turns into an addition: \(10 - (-18) = 10 + 18\). This gives us the final value of **28**.

Understanding each step is important for evaluating more complex expressions successfully.

**Negative numbers** can sometimes be confusing, especially when involving operations like multiplication or subtraction.

In our example, the initial subtraction inside the parentheses: \(2-5\) results in \(-3\). This negative result then becomes part of the expression: \(10-6(-3)\).

Remember these key points about negative numbers:

• Multiplying a positive number by a negative number gives a negative result. For instance, \(6 \times -3 = -18\).
• Subtracting a negative number is like adding a positive number. So, \(10- (-18)\) converts to \(10 + 18 \), which equals \(28\).

Mastering these rules ensures you're prepared to tackle any expressions involving negative numbers.