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
pls

1 answer

To determine which set of numbers is arranged in ascending order, we need to compare the values in each option. Let's convert them to decimal form where necessary:

A. 0.000325, 0.00225, 0.00125, 0.00325

  • 0.000325
  • 0.00125
  • 0.00225
  • 0.00325 (Ascending order: 0.000325, 0.00125, 0.00225, 0.00325)

B. 0.00125, 0.00225, 0.000325, 0.00325

  • 0.00125 (will come after some values)
  • 0.00225 (will come after some values)
  • 0.000325 (this is the smallest)
  • 0.00325 (Not in ascending order)

C. 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3

  • 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)

D. 3.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−4, 1.25 × 10^−3

  • 3.25 × 10^−3 = 0.00325 (is the largest)
  • 2.25 × 10^−3 = 0.00225
  • 3.25 × 10^−4 = 0.000325
  • 1.25 × 10^−3 = 0.00125 (Not in ascending order)

After analyzing all options, A and C are ordered correctly in ascending order. However, C clearly shows the increasing order of magnitude in scientific notation.

Thus, the options that contain the numbers in ascending order are:

  • A: 0.000325, 0.00125, 0.00225, 0.00325
  • C: 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3

Since both A and C are correct, you can select either based on the format you'd prefer.