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

Responses

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

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

0.00125, 0.00225, 0.000325, 0.00325

1 answer

To arrange the numbers in ascending order, we need to compare them.

Let's convert all numbers to decimals for easier comparison:

  1. \(0.000325\)
  2. \(0.00225\)
  3. \(0.00125\)
  4. \(0.00325\)

In decimal form, these are:

  • \(0.000325\)
  • \(0.00125\)
  • \(0.00225\)
  • \(0.00325\)

Now, let's list them in ascending order:

  1. \(0.000325\)
  2. \(0.00125\)
  3. \(0.00225\)
  4. \(0.00325\)

Now let's look at the second set given in scientific notation:

  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. \(1.25 \times 10^{-3} = 0.00125\)

In decimal form, they are:

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

In ascending order, we have:

  1. \(3.25 \times 10^{-4}\)
  2. \(1.25 \times 10^{-3}\)
  3. \(2.25 \times 10^{-3}\)
  4. \(3.25 \times 10^{-3}\)

Now, let's check the last option as well:

\(0.00125, 0.00225, 0.000325, 0.00325\) is not in ascending order because \(0.000325\) should come first.

Thus, the set that is arranged in ascending order is:

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