To determine which set has the numbers arranged in ascending order, let's compare the values in each option.
-
First Set:
- \(0.00125\)
- \(0.00225\)
- \(0.000325\)
- \(0.00325\)
Ordering these from smallest to largest:
- \(0.000325\), \(0.00125\), \(0.00225\), \(0.00325\)
- This set is not in ascending order.
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Second Set:
- \(3.25 \times 10^{-4}\)
- \(1.25 \times 10^{-3}\)
- \(2.25 \times 10^{-3}\)
- \(3.25 \times 10^{-3}\)
Converting these to decimal form:
- \(3.25 \times 10^{-4} = 0.000325\)
- \(1.25 \times 10^{-3} = 0.00125\)
- \(2.25 \times 10^{-3} = 0.00225\)
- \(3.25 \times 10^{-3} = 0.00325\)
Ordering these gives:
- \(0.000325\), \(0.00125\), \(0.00225\), \(0.00325\)
- This set is in ascending order.
-
Third Set:
- \(3.25 \times 10^{-3}\)
- \(2.25 \times 10^{-3}\)
- \(3.25 \times 10^{-4}\)
- \(1.25 \times 10^{-3}\)
Converting to decimal form:
- \(3.25 \times 10^{-3} = 0.00325\)
- \(2.25 \times 10^{-3} = 0.00225\)
- \(3.25 \times 10^{-4} = 0.000325\)
- \(1.25 \times 10^{-3} = 0.00125\)
Ordering these gives:
- \(0.000325\), \(0.00125\), \(0.00225\), \(0.00325\)
- This set is not in ascending order.
-
Fourth Set:
- \(0.000325\)
- \(0.00225\)
- \(0.00125\)
- \(0.00325\)
Ordering gives:
- \(0.000325\), \(0.00125\), \(0.00225\), \(0.00325\)
- This set is not in ascending order.
Based on this analysis, the correct answer is the second set:
3.25×10^-4, 1.25×10^-3, 2.25×10^-3, 3.25×10^-3 is arranged in ascending order.
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