Let's break down the expression step by step:

\[
-11 \times \left( \frac{3}{2} \right) \times \left( 0.12 \times (-12) \right)
\]

1. **First, calculate** \( 0.12 \times (-12) \):

\[
0.12 \times (-12) = -1.44
\]

2. **Next, calculate** \( \frac{3}{2} \times (-1.44) \):

\[
\frac{3}{2} \times (-1.44) = \frac{3 \times -1.44}{2} = \frac{-4.32}{2} = -2.16
\]

3. **Finally, calculate** \( -11 \times (-2.16) \):

\[
-11 \times (-2.16) = 23.76
\]

So, the result of the expression is:

\[
23.76
\]

Would you like further clarification on any of the steps?

Here are some related questions to expand your understanding:

1. How do you handle fractions in multiplication and division?
2. What is the impact of multiplying two negative numbers?
3. How do decimal places affect multiplication?
4. Can you explain why multiplying by a fraction reduces the value?
5. How would the expression change if the constants were different?

**Tip**: When multiplying with negative numbers, always remember that the product of two negatives is positive.

Step-by-step solution to the expression -11(3/2)(0.12)(-12), involving multiplication of fractions, decimals, and negative numbers. Suitable for students in Grades 6-8, this solution breaks down the process of handling decimal places and negative numbers.

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