In which set are the numbers arranged in ascending order?

Responses

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

0.000325, 0.00225, 0.00125, 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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine which set of numbers is arranged in ascending order, we first convert all numbers to decimal form:

  1. Set 1:

    • \(3.25 \times 10^{-4} = 0.000325\)
    • \(1.25 \times 10^{-3} = 0.00125\)
    • \(2.25 \times 10^{-3} = 0.00225\)
    • \(3.25 \times 10^{-3} = 0.00325\)
    • In ascending order: \(0.000325, 0.00125, 0.00225, 0.00325\)
  2. Set 2:

    • \(0.000325\)
    • \(0.00125\)
    • \(0.00225\)
    • \(0.00325\)
    • In ascending order: This set is correctly ordered.
  3. Set 3:

    • \(0.00125\)
    • \(0.00225\)
    • \(0.000325\)
    • \(0.00325\)
    • Not in ascending order.
  4. Set 4:

    • \(3.25 \times 10^{-3} = 0.00325\)
    • \(2.25 \times 10^{-3} = 0.00225\)
    • \(3.25 \times 10^{-4} = 0.000325\)
    • \(1.25 \times 10^{-3} = 0.00125\)
    • Not in ascending order.

From this analysis, the sets arranged in ascending order are the first and second sets:

  1. 1st Set: \(0.000325, 0.00125, 0.00225, 0.00325\)
  2. 2nd Set: \(0.000325, 0.00125, 0.00225, 0.00325\)

Thus, both the 1st and 2nd responses are in ascending order.