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

Responses

0.00125, 0.00225, 0.000325, 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
3.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline

0.000325, 0.00225, 0.00125, 0.00325
0.000325, 0.00225, 0.00125, 0.00325

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

3 answers

To determine which set of numbers is arranged in ascending order, we can convert the numbers to standard decimal form when necessary and compare them.

  1. First set:

    • 0.00125
    • 0.00225
    • 0.000325 (0.000325 = 0.000325)
    • 0.00325

    In decimal: 0.000325, 0.00125, 0.00225, 0.00325

  2. Second set (in scientific notation):

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

    In decimal: 0.000325, 0.00125, 0.00225, 0.00325

  3. Third set:

    • 0.000325
    • 0.00225
    • 0.00125
    • 0.00325

    In decimal: 0.000325, 0.00125, 0.00225, 0.00325 (not in ascending order)

  4. Fourth set (in scientific notation):

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

    In decimal: 0.000325, 0.00125, 0.00225, 0.00325

Therefore, sets 1, 2, and 4 are arranged in ascending order while set 3 is not.

To conclude:

  • The first, second, and fourth sets are in ascending order.
you can only pick one

If I can only pick one set that is arranged in ascending order, the best choice would be the fourth set:

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

This set is arranged in the correct ascending order.