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

Question

Responses

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
0.000325, 0.00225, 0.00125, 0.00325

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
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Answer 1

To determine which set of numbers is arranged in ascending order, let's convert all the numbers to decimal form and then compare them.

1. First set:

   • 0.00125
   • 0.00225
   • 0.000325 (this is actually 0.000325)
   • 0.00325

   Arranged in ascending order: 0.000325, 0.00125, 0.00225, 0.00325

2. Second set (in scientific notation):

   • 3.25 × 10^−4 = 0.000325
   • 1.25 × 10^−3 = 0.00125
   • 2.25 × 10^−3 = 0.00225
   • 3.25 × 10^−3 = 0.00325

   Arranged in ascending order: 0.000325, 0.00125, 0.00225, 0.00325

3. Third set:

   • 0.000325
   • 0.00225
   • 0.00125
   • 0.00325

   Arranged in ascending order: 0.000325, 0.00125, 0.00225, 0.00325

4. Fourth set (in scientific notation):

   • 3.25 × 10^−3 = 0.00325
   • 2.25 × 10^−3 = 0.00225
   • 3.25 × 10^−4 = 0.000325
   • 1.25 × 10^−3 = 0.00125

   Arranged in ascending order: 0.000325, 0.00125, 0.00225, 0.00325

Thus, the sets that are arranged in ascending order are:

• The second set: 3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3
• The third set: 0.000325, 0.00125, 0.00225, 0.00325

The first and third sets are NOT in ascending order, while the fourth set is also NOT in ascending order.

In conclusion, the second set in scientific notation is indeed arranged in the correct ascending order.