Question

which set of numbers is areanged in descending order

A. 7.6 x 10^-25, 7.2 x 10^-25, 7.2 x 10^-30, 7 x 10^-30
is this correct?

Answer 1

To determine if the given set of numbers is in descending order, we need to compare their values:

- \(7.6 \times 10^{-25}\)
- \(7.2 \times 10^{-25}\)
- \(7.2 \times 10^{-30}\)
- \(7.0 \times 10^{-30}\)

The first two numbers (\(7.6 \times 10^{-25}\) and \(7.2 \times 10^{-25}\)) are straightforward since they both have the same exponent of \(-25\). Clearly, \(7.6 \times 10^{-25} > 7.2 \times 10^{-25}\).

The last two numbers (\(7.2 \times 10^{-30}\) and \(7.0 \times 10^{-30}\)) also have the same exponent of \(-30\). Thus, \(7.2 \times 10^{-30} > 7.0 \times 10^{-30}\).

Now, we compare the numbers between the two groups:

1. \(7.6 \times 10^{-25}\) (larger)
2. \(7.2 \times 10^{-25}\) (next larger)
3. \(7.2 \times 10^{-30}\) (smaller than both of the previous)
4. \(7.0 \times 10^{-30}\) (smallest)

So, the correct descending order should be:

\[ 7.6 \times 10^{-25}, 7.2 \times 10^{-25}, 7.2 \times 10^{-30}, 7.0 \times 10^{-30} \]

**Conclusion**: Yes, the set of numbers you provided is indeed arranged in descending order.