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In which set are the numbers arranged in ascending order

A. 0.000325, 0.00225, 0.00125, 0.00325
B. 3.25*10^-3. 2.25*10^-3, 3.25*10^-4, 1.25*10^-3
C. 3.25*10^-4, 1.25*10^-3, 2.25*10^-3, 3.25*10^-3
D. 0.00125, 0.00225,0.000325, 0,00325

1 answer

Let's convert the numbers in each option to a standard form to identify their arrangement in ascending order.

Option A:

  • 0.000325 = 3.25 * 10^-4
  • 0.00225 = 2.25 * 10^-3
  • 0.00125 = 1.25 * 10^-3
  • 0.00325 = 3.25 * 10^-3

So, A becomes: 3.25 * 10^-4, 1.25 * 10^-3, 2.25 * 10^-3, 3.25 * 10^-3

Option B:

  • 3.25 * 10^-3 = 0.00325
  • 2.25 * 10^-3 = 0.00225
  • 3.25 * 10^-4 = 0.000325
  • 1.25 * 10^-3 = 0.00125

So, B becomes: 0.00325, 0.00225, 0.000325, 0.00125

Option C:

  • 3.25 * 10^-4 = 0.000325
  • 1.25 * 10^-3 = 0.00125
  • 2.25 * 10^-3 = 0.00225
  • 3.25 * 10^-3 = 0.00325

So, C becomes: 0.000325, 0.00125, 0.00225, 0.00325

Option D:

  • 0.00125
  • 0.00225
  • 0.000325 (this is out of order)
  • 0.00325

So, D becomes: 0.00125, 0.00225, 0.000325, 0.00325

Putting it all together:

  • A: 0.000325, 0.00125, 0.00225, 0.00325 (ascending)
  • B: 0.00325, 0.00225, 0.000325, 0.00125 (not ascending)
  • C: 0.000325, 0.00125, 0.00225, 0.00325 (ascending)
  • D: 0.00125, 0.00225, 0.000325, 0.00325 (not ascending)

The sets that are arranged in ascending order are A (0.000325, 0.00125, 0.00225, 0.00325) and C (0.000325, 0.00125, 0.00225, 0.00325).