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In which set are the numbers arranged in ascending order?

A. 0.000325, 0.00225, 0.00125, 0.00325
B.0.00125, 0.00225, 0.000325, 0.00325
C.3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3
D.3.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−4, 1.25 × 10^−3

1 answer

To determine which set of numbers is arranged in ascending order, let's convert all the numbers to a consistent format and compare their values.

Set A:

  1. 0.000325
  2. 0.00225
  3. 0.00125
  4. 0.00325

Comparing these:

  • 0.000325
  • 0.00125
  • 0.00225
  • 0.00325

In ascending order: 0.000325, 0.00125, 0.00225, 0.00325.

Set B:

  1. 0.00125
  2. 0.00225
  3. 0.000325
  4. 0.00325

This is not in ascending order because 0.000325 < 0.00125.

Set C:

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

So, in decimal order:

  • 0.000325
  • 0.00125
  • 0.00225
  • 0.00325

In ascending order: 0.000325, 0.00125, 0.00225, 0.00325.

Set D:

  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

This is not in ascending order because 0.00325 > 0.00225 > 0.00125 > 0.000325.

Based on our analysis, Set A and Set C are arranged in ascending order.