Evaluate.

\[\left(-1\dfrac{1}4\right)^2 = \]

To evaluate \(\left(-1\dfrac{1}{4}\right)^2\), follow these steps:

1. **Convert the mixed number to an improper fraction:**
   \[
   -1\dfrac{1}{4} = -\left(\frac{4 \times 1 + 1}{4}\right) = -\frac{5}{4}
   \]
   
2. **Square the fraction:**
   \[
   \left(-\frac{5}{4}\right)^2 = \frac{(-5)^2}{4^2} = \frac{25}{16}
   \]

So, \(\left(-1\dfrac{1}{4}\right)^2 = \frac{25}{16}\).

Would you like more details or have any questions about this?

Here are five related questions:
1. How do you square a fraction?
2. What is the process for converting a mixed number to an improper fraction?
3. How do you handle negative signs when squaring numbers?
4. Can you simplify \(\frac{25}{16}\) further?
5. How do you convert an improper fraction back to a mixed number?

**Tip:** Remember that squaring any negative number always results in a positive number.

Learn how to evaluate \(\left(-1\dfrac{1}{4}\right)^2\) with a step-by-step solution. This problem involves converting a mixed number to an improper fraction, squaring the fraction, and understanding the result. Suitable for students in Grades 6-8.

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