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

Responses

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

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

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

1 answer

To determine which set has the numbers arranged in ascending order, we need to evaluate each option by converting them to decimal form.

  1. Set 1:
    0.000325
    0.00225
    0.00125
    0.00325
    Decimal forms:

    • 0.000325 = 0.000325
    • 0.00225 = 0.00225
    • 0.00125 = 0.00125
    • 0.00325 = 0.00325
      Ascending order: 0.000325, 0.00125, 0.00225, 0.00325 (NOT in order)

  2. Set 2:
    0.00125
    0.00225
    0.000325
    0.00325
    Decimal forms:

    • 0.00125 = 0.00125
    • 0.00225 = 0.00225
    • 0.000325 = 0.000325
    • 0.00325 = 0.00325
      Ascending order: 0.000325, 0.00125, 0.00225, 0.00325 (NOT in order)

  3. Set 3:
    3.25 × 10^−3
    2.25 × 10^−3
    3.25 × 10^−4
    1.25 × 10^−3
    Decimal forms:

    • 3.25 × 10^−3 = 0.00325
    • 2.25 × 10^−3 = 0.00225
    • 3.25 × 10^−4 = 0.000325
    • 1.25 × 10^−3 = 0.00125
      Ascending order: 0.000325, 0.00125, 0.00225, 0.00325 (NOT in order)

  4. Set 4:
    3.25 × 10^−4
    1.25 × 10^−3
    2.25 × 10^−3
    3.25 × 10^−3
    Decimal forms:

    • 3.25 × 10^−4 = 0.000325
    • 1.25 × 10^−3 = 0.00125
    • 2.25 × 10^−3 = 0.00225
    • 3.25 × 10^−3 = 0.00325
      Ascending order: 0.000325, 0.00125, 0.00225, 0.00325 (CORRECT)

Thus, the correct set arranged in ascending order is 4. 3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3.