Simplify `66 div (-33)xx|-9|`

Answer

To simplify the expression \( 66 \div (-33) \times |-9| \), we will 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)).

### Step-by-Step Solution:

1. **Identify the components of the expression**:
The expression is \( 66 \div (-33) \times |-9| \).

2. **Calculate the absolute value**:
The absolute value of \(-9\) is \(9\). So, we can rewrite the expression as:
\[ 66 \div (-33) \times 9 \]

3. **Perform the division**:
Now, we divide \(66\) by \(-33\):
\[ 66 \div (-33) = -2 \]
This is because dividing a positive number by a negative number results in a negative number.

4. **Replace the division result in the expression**:
Now, substitute \(-2\) back into the expression:
\[ -2 \times 9 \]

5. **Perform the multiplication**:
Now, we multiply:
\[ -2 \times 9 = -18 \]

6. **Final result**:
The simplified result of the expression \( 66 \div (-33) \times |-9| \) is:
\[ -18 \]

### Summary of Steps:
1. Calculate the absolute value of \(-9\).
2. Perform the division \(66 \div (-33)\).
3. Replace the division result in the expression.
4. Perform the multiplication.