Let's break down the expression \(-0.5 \times \left(\frac{-2}{5}\right)\) step by step:

1. First, handle the signs. Multiplying two negative numbers results in a positive number:
   \[
   -0.5 \times \left(\frac{-2}{5}\right) = 0.5 \times \left(\frac{2}{5}\right)
   \]

2. Now, multiply \(0.5\) by \(\frac{2}{5}\). Recall that \(0.5 = \frac{1}{2}\), so the expression becomes:
   \[
   \frac{1}{2} \times \frac{2}{5} = \frac{1 \times 2}{2 \times 5} = \frac{2}{10}
   \]

3. Simplify \(\frac{2}{10}\):
   \[
   \frac{2}{10} = \frac{1}{5}
   \]

Thus, the simplified result of \(-0.5 \times \left(\frac{-2}{5}\right)\) is \(\frac{1}{5}\).

Would you like more details on this? Here are five related questions for further practice:

1. What is the result of \(-0.5 \times \frac{4}{5}\)?
2. How do you multiply two fractions with both negative numerators?
3. What happens when multiplying positive and negative fractions?
4. How do you convert decimals to fractions for easier multiplication?
5. Can you explain how to simplify fractions in general?

**Tip:** When multiplying fractions, always multiply the numerators and denominators directly, then simplify if possible.

Learn how to simplify the expression -0.5 x (-2/5) step-by-step. This problem involves multiplying fractions and handling negative numbers. Suitable for students in Grades 6-8, it provides detailed explanations of key concepts like fraction multiplication and the rules for negative numbers.

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