Which set of numbers is arranged in descending order?(1 point)

To arrange the numbers in descending order, we need to compare their values. The numbers are:

1. \(7.6 \times 10^{-25}\)
2. \(7.2 \times 10^{-25}\)
3. \(7.2 \times 10^{-30}\)
4. \(7.0 \times 10^{-30}\)

The scientific notation includes a power of 10, which indicates how large or small the number is.

• Both \(7.6 \times 10^{-25}\) and \(7.2 \times 10^{-25}\) are significantly larger than \(7.2 \times 10^{-30}\) and \(7.0 \times 10^{-30}\) because \(-25\) is larger than \(-30\).
• When comparing \(7.6 \times 10^{-25}\) and \(7.2 \times 10^{-25}\), \(7.6\) is greater than \(7.2\), so \(7.6 \times 10^{-25}\) is greater.
• Between \(7.2 \times 10^{-30}\) and \(7.0 \times 10^{-30}\), \(7.2\) is greater than \(7.0\).

Now we can arrange them in descending order:

1. \(7.6 \times 10^{-25}\)
2. \(7.2 \times 10^{-25}\)
3. \(7.2 \times 10^{-30}\)
4. \(7.0 \times 10^{-30}\)

The correct choice for the set arranged in descending order is:

7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30.

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

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

0.00125, 0.00225, 0.000325, 0.00325
0.00125, 0.00225, 0.000325, 0.00325

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

To determine which set of numbers is arranged in ascending order, we need to convert all entries into a comparable format. Let's evaluate each option:

1. 3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3

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

   This set in decimal form is: 0.000325, 0.00125, 0.00225, 0.00325 (in ascending order).

2. 0.000325, 0.00225, 0.00125, 0.00325

   • In this set, the numbers are not in ascending order because \(0.00125\) comes after \(0.00225\), which should not be the case.

3. 0.00125, 0.00225, 0.000325, 0.00325

   • This set is also not in ascending order since \(0.000325\) is incorrectly placed after \(0.00225\).

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

   • This set is also incorrect because \(3.25 \times 10^{-3} = 0.00325\) is greater than \(2.25 \times 10^{-3} = 0.00225\).

The only set presented that is in ascending order is:

3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3 (which correctly corresponds to 0.000325, 0.00125, 0.00225, 0.00325 in ascending order).