Question

Which set of numbers is arranged in descending order?(1 point)%0D%0AResponses%0D%0A%0D%0A7 × 10−30, 7.2 × 10−25, 7.2 × 10−30, 7.6 × 10−25%0D%0A7 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%0D%0A%0D%0A7.2 × 10−30, 7 × 10−30, 7.6 × 10−25, 7.2 × 10−25%0D%0A7.2 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 Baseline%0D%0A%0D%0A7.6 × 10−25, 7.2 × 10−30, 7.2 × 10−25, 7 × 10−30%0D%0A7.6 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%0D%0A%0D%0A7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30

Answer 1

To determine which set of numbers is arranged in descending order, we need to compare the given scientific notations.

1. **7 × 10⁻³⁰**
2. **7.2 × 10⁻²⁵**
3. **7.2 × 10⁻³⁰**
4. **7.6 × 10⁻²⁵**

Now let's evaluate the numbers by comparing their orders of magnitude first:

- The numbers with an exponent of -25 (7.2 × 10⁻²⁵ and 7.6 × 10⁻²⁵) are larger than the numbers with the exponent of -30 (7 × 10⁻³⁰ and 7.2 × 10⁻³⁰).

Comparing the ones with the same exponent:
- Between **7.6 × 10⁻²⁵** and **7.2 × 10⁻²⁵**, 7.6 × 10⁻²⁵ is larger.
- Between **7 × 10⁻³⁰** and **7.2 × 10⁻³⁰**, 7.2 × 10⁻³⁰ is larger.

Putting it all together in descending order:
- Start with the largest: **7.6 × 10⁻²⁵**
- Next: **7.2 × 10⁻²⁵**
- Then: **7.2 × 10⁻³⁰**
- Finally: **7 × 10⁻³⁰**

So, the correct arrangement in descending order is **7.6 × 10⁻²⁵, 7.2 × 10⁻²⁵, 7.2 × 10⁻³⁰, 7 × 10⁻³⁰**.

The set of numbers that is arranged in descending order is:
**7.6 × 10⁻²⁵, 7.2 × 10⁻²⁵, 7.2 × 10⁻³⁰, 7 × 10⁻³⁰**.