In which set are the numbers arranged in ascending order? (1 point)

0.00125, 0.00225, 0.000325, 0.00325
3.25 × 10 , , ,
−4 1.25 × 10
−3 2.25 × 10
−3 3.25 × 10
−3
3.25 × 10 , , ,
−3 2.25 × 10
−3 3.25 × 10
−4 1.25 × 10
−3
0.000325, 0.00225, 0.00125, 0.00325

1 answer

To determine which set of numbers is arranged in ascending order, we will first convert all numbers into decimal form for easier comparison.

  1. First Set:

    • \(0.00125\)
    • \(0.00225\)
    • \(0.000325\)
    • \(0.00325\)

    Arranged in ascending order:

    • \(0.000325\)
    • \(0.00125\)
    • \(0.00225\)
    • \(0.00325\)
  2. Second Set: (in scientific notation)

    • \(3.25 \times 10^{-4} = 0.000325\)
    • \(1.25 \times 10^{-3} = 0.00125\)
    • \(2.25 \times 10^{-3} = 0.00225\)
    • \(3.25 \times 10^{-3} = 0.00325\)

    Arranged in ascending order:

    • \(3.25 \times 10^{-4}\)
    • \(1.25 \times 10^{-3}\)
    • \(2.25 \times 10^{-3}\)
    • \(3.25 \times 10^{-3}\)
  3. Third Set: (also in scientific notation)

    • \(3.25 \times 10^{-3} = 0.00325\)
    • \(2.25 \times 10^{-3} = 0.00225\)
    • \(3.25 \times 10^{-4} = 0.000325\)
    • \(1.25 \times 10^{-3} = 0.00125\)

    Arranged in ascending order:

    • \(3.25 \times 10^{-4}\)
    • \(1.25 \times 10^{-3}\)
    • \(2.25 \times 10^{-3}\)
    • \(3.25 \times 10^{-3}\)
  4. Fourth Set:

    • \(0.000325\)
    • \(0.00225\)
    • \(0.00125\)
    • \(0.00325\)

    Arranged in ascending order:

    • \(0.000325\)
    • \(0.00125\)
    • \(0.00225\)
    • \(0.00325\)

Based on our analysis, the second and third sets show the numbers arranged correctly in ascending order. Thus:

Correct Arrangements:

  • Second Set: \(3.25 \times 10^{-4}, 1.25 \times 10^{-3}, 2.25 \times 10^{-3}, 3.25 \times 10^{-3}\)
  • Third Set: \(3.25 \times 10^{-3}, 2.25 \times 10^{-3}, 3.25 \times 10^{-4}, 1.25 \times 10^{-3}\)

Therefore, the correct answer for numbers arranged in ascending order is: Second Set or Third Set is correct.