Question

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

7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
7.6 times 10 Superscript negative 25 Baseline ,  7.2 times 10 Superscript negative 25 Baseline ,  7.2 times 10 Superscript negative 30 Baseline ,  7 times 10 Superscript negative 30 Baseline

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

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

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

Answer 1

you are sure?

Answer 2

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

The numbers provided are in scientific notation:

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

When comparing numbers in scientific notation, the exponent plays a crucial role. A higher exponent (less negative) indicates a larger value.

1. The two highest numbers are \(7.6 \times 10^{-25}\) and \(7.2 \times 10^{-25}\).
2. The next two numbers have a lower exponent of \(-30\), which makes them smaller than the previous two. Among these, \(7.2 \times 10^{-30}\) is larger than \(7 \times 10^{-30}\).

Thus, in descending order, the arrangement is:
- \(7.6 \times 10^{-25}\)
- \(7.2 \times 10^{-25}\)
- \(7.2 \times 10^{-30}\)
- \(7 \times 10^{-30}\)

The correct option is:

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