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The expression to evaluate is \( xyz \), where \( x = -2 \), \( y = 3 \), and \( z = -\frac{1}{5} \).

We can compute this by multiplying the three values together:

\[
xyz = (-2) \times 3 \times \left(-\frac{1}{5}\right)
\]

First, multiply the first two numbers:

\[
(-2) \times 3 = -6
\]

Next, multiply that result by \( -\frac{1}{5} \):

\[
(-6) \times \left(-\frac{1}{5}\right) = \frac{6}{5}
\]

So, \( xyz = \frac{6}{5} \).

Would you like further details on the calculation? Here are some related questions you can explore:

1. What happens if one of the variables is zero in \( xyz \)?
2. How do you multiply three fractions or decimal numbers?
3. What is the geometric interpretation of multiplying negative numbers?
4. What is the significance of the negative sign in each term of the expression?
5. How does multiplication of rational numbers work?

**Tip**: When multiplying fractions, remember that multiplying a number by a negative fraction reverses the sign of the result.

Evaluate the expression when x = -2, y = 3, and z = -1/5.

Learn how to evaluate the algebraic expression xyz for x = -2, y = 3, and z = -1/5. This problem demonstrates key concepts of multiplying integers and fractions, and working with negative numbers. Suitable for students in Grades 6-8.

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