To determine which set arranges the numbers in ascending order, we need to convert the scientific notation to decimal notation for each entry and then compare the values.
- First set:
- \(3.25 \times 10^{-4} = 0.000325\)
- \(1.25 \times 10^{-3} = 0.00125\)
- \(2.25 \times 10^{-3} = 0.00225\)
- \(3.25 \times 10^{-3} = 0.00325\)
This gives us the decimal values: \(0.000325, 0.00125, 0.00225, 0.00325\)
- Second set:
- \(3.25 \times 10^{-3} = 0.00325\)
- \(2.25 \times 10^{-3} = 0.00225\)
- \(3.25 \times 10^{-4} = 0.000325\)
- \(1.25 \times 10^{-3} = 0.00125\)
This gives us the decimal values: \(0.00325, 0.00225, 0.000325, 0.00125\)
Now, arranging the decimal values from both sets in ascending order:
For the first set:
- \(0.000325 < 0.00125 < 0.00225 < 0.00325\) (Correct ascending order)
For the second set:
- \(0.00325 > 0.00225 > 0.000325 < 0.00125\) (Not in ascending order)
Thus, the first set \(0.000325, 0.00125, 0.00225, 0.00325\) is in ascending order.