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

Responses

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

0.00125, 0.00225, 0.000325, 0.00325
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 times 10 Superscript negative 4 Baseline ,  1.25 times 10 Superscript negative 3 Baseline ,  2.25 times 10 Superscript negative 3 Baseline ,  3.25 times 10 Superscript negative 3 Baseline

0.000325, 0.00225, 0.00125, 0.00325

1 answer

To determine which set of numbers is arranged in ascending order, we can convert all of the scientific notation into decimal form. Here are the conversions:

  1. \(3.25 \times 10^{-3} = 0.00325\)
  2. \(2.25 \times 10^{-3} = 0.00225\)
  3. \(3.25 \times 10^{-4} = 0.000325\)
  4. \(1.25 \times 10^{-3} = 0.00125\)

Let's put these in ascending order:

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

Now let's compare this with the sets given in the options:

  1. First set: \(3.25 \times 10^{-3}, 2.25 \times 10^{-3}, 3.25 \times 10^{-4}, 1.25 \times 10^{-3}\)

    • Decimal: \(0.00325, 0.00225, 0.000325, 0.00125\) — not in ascending order.

  2. Second set: \(0.00125, 0.00225, 0.000325, 0.00325\) — not in ascending order.

  3. Third set: \(3.25 \times 10^{-4}, 1.25 \times 10^{-3}, 2.25 \times 10^{-3}, 3.25 \times 10^{-3}\)

    • Decimal: \(0.000325, 0.00125, 0.00225, 0.00325\) — in ascending order.

  4. Fourth set: \(0.000325, 0.00225, 0.00125, 0.00325\) — not in ascending order.

Therefore, the set that is arranged in ascending order is the third set:

\(3.25 \times 10^{-4}, 1.25 \times 10^{-3}, 2.25 \times 10^{-3}, 3.25 \times 10^{-3}\).