PLACE NUMBERS IN ASCENDING ORDER. \[ \begin{array}{c}\text { A) }-3.6 \\ \text { B) }-\frac{15}{4} \\ \text { C) } \sqrt{15} \\ \text { D) }-3.4 \% \\ \text { E) } 4.1 \times 10^{-6}\end{array} \]

To place the numbers in ascending order, we first need to convert all the values into a comparable format. Let's evaluate each option step by step: 1. **A) \(-3.6\)**: This is already in decimal form. 2. **B) \(-\frac{15}{4}\)**: We can convert this fraction to decimal: \[ -\frac{15}{4} = -3.75 \] 3. **C) \(\sqrt{15}\)**: We can calculate the square root: \[ \sqrt{15} \approx 3.872 \] 4. **D) \(-3.4\%\)**: We convert the percentage to decimal: \[ -3.4\% = -\frac{3.4}{100} = -0.034 \] 5. **E) \(4.1 \times 10^{-6}\)**: This is already in scientific notation, which is a very small positive number: \[ 4.1 \times 10^{-6} = 0.0000041 \] Now we have the following values to compare: - A) \(-3.6\) - B) \(-3.75\) - C) \(3.872\) - D) \(-0.034\) - E) \(0.0000041\) Next, we can arrange these values in ascending order: 1. **B) \(-3.75\)** 2. **A) \(-3.6\)** 3. **D) \(-0.034\)** 4. **E) \(0.0000041\)** 5. **C) \(3.872\)** Thus, the numbers in ascending order are: \[ \begin{array}{c} B) -\frac{15}{4} \\ A) -3.6 \\ D) -3.4\% \\ E) 4.1 \times 10^{-6} \\ C) \sqrt{15} \end{array} \]