To determine which set of numbers is arranged in descending order, we need to evaluate each expression. The numbers are given in scientific notation, and we can convert them to standard form for better comparison.
- 7 × 10⁻³⁰
- 7.2 × 10⁻²⁵
- 7.2 × 10⁻³⁰
- 7.6 × 10⁻²⁵
- 7.6 × 10⁻³⁰
Now we convert these to standard form:
- 7 × 10⁻³⁰ = 0.000000000000000000000000000007
- 7.2 × 10⁻²⁵ = 0.000000000000000000000072
- 7.2 × 10⁻³⁰ = 0.0000000000000000000000000072
- 7.6 × 10⁻²⁵ = 0.000000000000000000000076
- 7.6 × 10⁻³⁰ = 0.0000000000000000000000000076
Now, putting them in order of ascending magnitude:
- 7 × 10⁻³⁰ → smallest
- 7.2 × 10⁻³⁰
- 7.6 × 10⁻³⁰
- 7.2 × 10⁻²⁵
- 7.6 × 10⁻²⁵ → largest
Now we can arrange them in descending order:
7.6 × 10⁻²⁵, 7.2 × 10⁻²⁵, 7.6 × 10⁻³⁰, 7.2 × 10⁻³⁰, 7 × 10⁻³⁰.
To confirm which of the listed sets is correct, check if it maintains this order.
The set arranged in descending order is:
- 7.6 × 10⁻²⁵
- 7.2 × 10⁻²⁵
- 7.6 × 10⁻³⁰
- 7.2 × 10⁻³⁰
- 7 × 10⁻³⁰
Thus, the correct answer is the sequence: 7.6 × 10⁻²⁵, 7.2 × 10⁻²⁵, 7.6 × 10⁻³⁰, 7.2 × 10⁻³⁰, 7 × 10⁻³⁰