To solve the expression \( 5 - (-6) \times 9 \), follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Start by simplifying the negative sign: 
   \[
   5 - (-6) \times 9 = 5 + 6 \times 9
   \]
   (Since subtracting a negative number is the same as adding the positive version of the number.)

2. Now multiply \( 6 \times 9 \):
   \[
   5 + 54
   \]

3. Finally, add \( 5 + 54 \):
   \[
   59
   \]

So, \( 5 - (-6) \times 9 = 59 \).

Would you like further clarification or details?

Here are five related questions:
1. What happens if you replace \( -6 \) with \( -7 \) in the original expression?
2. How do parentheses affect the order of operations in expressions?
3. Can you solve \( 7 - (-5) \times 8 \)?
4. What is the result of \( 10 + (-5) \times (-3) \)?
5. How do you handle multiple negative signs in an expression?

**Tip:** Always follow the order of operations carefully to avoid mistakes, especially with negative numbers!

Learn how to solve the mathematical expression 5 - (-6) x 9 by following the order of operations (PEMDAS). This problem involves understanding how to handle negative numbers and multiplication. Suitable for students in Grades 6-8.

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