To determine which set has the numbers arranged in ascending order, let's first convert the scientific notation to decimal form:
- \(3.25 \times 10^{-4} = 0.000325\)
- \(1.25 \times 10^{-3} = 0.00125\)
- \(2.25 \times 10^{-3} = 0.00225\)
- \(3.25 \times 10^{-3} = 0.00325\)
Now, placing these decimal values in order, we get:
- \(0.000325\) (which is \(3.25 \times 10^{-4}\))
- \(0.00125\) (which is \(1.25 \times 10^{-3}\))
- \(0.00225\) (which is \(2.25 \times 10^{-3}\))
- \(0.00325\) (which is \(3.25 \times 10^{-3}\))
This gives us the ordered set:
0.000325, 0.00125, 0.00225, 0.00325
Now, let's check which option matches this ordered set:
- First option: \(3.25 × 10^{-4}, 1.25 × 10^{-3}, 2.25 × 10^{-3}, 3.25 × 10^{-3}\) is in ascending order.
- Second option: \(3.25 × 10^{-3}, 2.25 × 10^{-3}, 3.25 × 10^{-4}, 1.25 × 10^{-3}\) is not in ascending order.
- Third option: \(0.00125, 0.00225, 0.000325, 0.00325\) is not in ascending order.
- Fourth option: \(0.000325, 0.00225, 0.00125, 0.00325\) is not in ascending order.
Therefore, the correct set arranged in ascending order is:
3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3