91Ó°ÊÓ

In basic arithmetic, addition and subtraction are foundational operations you use frequently. They have straightforward rules that make them easy to understand. When performing these operations, it's essential to move from left to right. For instance, if you have the expression \(-8+5-6+9\), you don't solve the addition first and then the subtraction separately. Instead, you go step-by-step:

**1. Combine the first two numbers:**
\(-8 + 5 = -3\)

**2. Subtract the next number:**
\(-3 - 6 = -9\)

**3. Perform the final addition:**
\(-9 + 9 = 0\)

Understanding and practicing these steps will make you more confident in handling larger and more complex arithmetic problems.

When solving any mathematical problem, especially in arithmetic, following the correct order of operations is crucial. The common acronym to remember is PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Even though the given expression \(-8 + 5 - 6 + 9\) only involves addition and subtraction, understanding PEMDAS ensures you handle all types of expressions correctly. Here’s the simple rule for this context:

**Addition and Subtraction:** Always move from left to right, solving one pair at a time:

\(-8 + 5 = -3\)
\(-3 - 6 = -9\)
\(-9 + 9 = 0\)

This approach avoids mistakes and keeps your work organized.

Working with integers can sometimes be tricky, especially when dealing with both positive and negative numbers. It's important to remember a few key points:

**Adding Positive and Negative Integers:**
When a positive number is added to a negative number, subtract the smaller number from the bigger number and keep the sign of the larger original number.

For instance, in the expression \(-8 + 5\), you subtract 5 from 8 and keep the sign of the larger number: \(-8 + 5 = -3\).

**Subtracting Integers:**
When subtracting, remember to change the sign of the number being subtracted and then add.

For example, \(-3 - 6\) becomes \(-3 + (-6)\), resulting in \(-9\).

Following these rules helps simplify the process of solving expressions involving multiple integers.