Question

In which set are the numbers arranged in ascending order?
Responses

3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3

0.000325, 0.00225, 0.00125, 0.00325

0.00125, 0.00225, 0.000325, 0.00325

3.25 × 10−3, 2.25 × 10−3, 3.25 × 10−4, 1.25 × 10−3

Answer 1

To determine which set of numbers is arranged in ascending order, we first convert all numbers to decimal form:

1. **Set 1:**
- \(3.25 \times 10^{-4} = 0.000325\)
- \(1.25 \times 10^{-3} = 0.00125\)
- \(2.25 \times 10^{-3} = 0.00225\)
- \(3.25 \times 10^{-3} = 0.00325\)
- **In ascending order:** \(0.000325, 0.00125, 0.00225, 0.00325\)

2. **Set 2:**
- \(0.000325\)
- \(0.00125\)
- \(0.00225\)
- \(0.00325\)
- **In ascending order:** This set is correctly ordered.

3. **Set 3:**
- \(0.00125\)
- \(0.00225\)
- \(0.000325\)
- \(0.00325\)
- **Not in ascending order.**

4. **Set 4:**
- \(3.25 \times 10^{-3} = 0.00325\)
- \(2.25 \times 10^{-3} = 0.00225\)
- \(3.25 \times 10^{-4} = 0.000325\)
- \(1.25 \times 10^{-3} = 0.00125\)
- **Not in ascending order.**

From this analysis, the sets arranged in ascending order are the first and second sets:

1. **1st Set:** \(0.000325, 0.00125, 0.00225, 0.00325\)
2. **2nd Set:** \(0.000325, 0.00125, 0.00225, 0.00325\)

Thus, both the **1st** and **2nd** responses are in ascending order.