Evaluate Arithmetic Expression: Order of Operations

To evaluate the given expression, we follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The expression is: $ (-9) - (-56) \div (-14) + (-4) \times 9 $

Step 1: Multiplication and Division

First, perform the multiplication and division operations as they appear from left to right.

• Division: $ (-56) \div (-14) = 4 $.
• Multiplication: $ (-4) \times 9 = -36 $.

Step 2: Substitute and Simplify

Substitute the results back into the expression:

$ (-9) - (4) + (-36) $

Step 3: Addition and Subtraction

Now, perform the subtraction and addition from left to right.

• Subtraction: $ (-9) - 4 = -13 $.
• Addition: $ -13 + (-36) = -13 - 36 = -49 $.

Therefore, the value of the expression is -49.