Question

Which set of numbers is arranged in descending order?(1 point)Responses7.6 × 10−25, 7.2 × 10−30, 7.2 × 10−25, 7 × 10−307.6 times 10 Superscript negative 25 Baseline ,  7.2 times 10 Superscript negative 30 Baseline ,  7.2 times 10 Superscript negative 25 Baseline ,  7 times 10 Superscript negative 30 Baseline7 × 10−30, 7.2 × 10−25, 7.2 × 10−30, 7.6 × 10−257 times 10 Superscript negative 30 Baseline ,  7.2 times 10 Superscript negative 25 Baseline ,  7.2 times 10 Superscript negative 30 Baseline ,  7.6 times 10 Superscript negative 25 Baseline7.2 × 10−30, 7 × 10−30, 7.6 × 10−25, 7.2 × 10−257.2 times 10 Superscript negative 30 Baseline ,  7 times 10 Superscript negative 30 Baseline ,  7.6 times 10 Superscript negative 25 Baseline ,  7.2 times 10 Superscript negative 25 Baseline7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30

Answer 1

To arrange the numbers in descending order, we first need to consider the scientific notation of each number:

1. \(7.6 \times 10^{-25}\)
2. \(7.2 \times 10^{-30}\)
3. \(7.2 \times 10^{-25}\)
4. \(7 \times 10^{-30}\)

Now, we can compare them in terms of their exponent and coefficient:

- The number \(7.6 \times 10^{-25}\) has the largest exponent (since \(-25\) is greater than \(-30\)).
- Next, \(7.2 \times 10^{-25}\) is larger than both \(7.2 \times 10^{-30}\) and \(7 \times 10^{-30}\) for the same reason.
- The numbers \(7.2 \times 10^{-30}\) and \(7 \times 10^{-30}\) must be compared based on their coefficients. Here, \(7.2\) is greater than \(7\).

So, the arrangement in descending order is:

1. \(7.6 \times 10^{-25}\)
2. \(7.2 \times 10^{-25}\)
3. \(7.2 \times 10^{-30}\)
4. \(7 \times 10^{-30}\)

Thus, the correct descending order from the provided options is:

**\(7.6 \times 10^{-25}, 7.2 \times 10^{-25}, 7.2 \times 10^{-30}, 7 \times 10^{-30}\)**.