Question

Which set of numbers is arranged in descending order?(1 point)
7 × 10^−30, 7.2 × 10^−25, 7.2 × 10^−30, 7.6 × 10^−25
7.6 × 10^−25, 7.2 × 10^−30, 7.2 × 10^−25, 7 × 10^−30
7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30
7.2 × 10^−30, 7 × 10^−30, 7.6 × 10^−25, 7.2 × 10^−25

Answer 1

are you sure.

Answer 2

To arrange the numbers in descending order, we need to compare their values. The numbers given are:

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

First, let's note the powers of ten:
- \( 10^{-30} \) is much smaller than \( 10^{-25} \). This means that any number with \( 10^{-30} \) will be smaller than any number with \( 10^{-25} \).

Now, let's convert the numbers for easy comparison:

- \( 7.2 \times 10^{-25} = 7.2 \times 10^{-25} \) (this is the largest since it has the highest power of ten)
- \( 7.6 \times 10^{-25} = 7.6 \times 10^{-25} \)
- \( 7.2 \times 10^{-30} = 0.0000000000000000000000000072 \)
- \( 7 \times 10^{-30} = 0.000000000000000000000000007 \)

Comparing the values:
1. \( 7.6 \times 10^{-25} \) (largest)
2. \( 7.2 \times 10^{-25} \)
3. \( 7.2 \times 10^{-30} \)
4. \( 7 \times 10^{-30} \) (smallest)

Thus, the correct arrangement in descending order is:
**7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30**

This corresponds to the third option provided:
**7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30.**

Answer 3

Let's double-check the comparison of the numbers carefully:

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

### Step 1: Comparing Values
- **Numbers with \( 10^{-25} \)**:
- \( 7.2 \times 10^{-25} \)
- \( 7.6 \times 10^{-25} \)

Between these, \( 7.6 \times 10^{-25} \) is larger than \( 7.2 \times 10^{-25} \).

- **Numbers with \( 10^{-30} \)**:
- \( 7.2 \times 10^{-30} \)
- \( 7 \times 10^{-30} \)

Between these, \( 7.2 \times 10^{-30} \) is larger than \( 7 \times 10^{-30} \).

### Step 2: Ordering the Numbers
Now we can combine this information:
- The largest number is \( 7.6 \times 10^{-25} \).
- The next is \( 7.2 \times 10^{-25} \).
- The next largest is \( 7.2 \times 10^{-30} \).
- The smallest is \( 7 \times 10^{-30} \).

### Conclusion:
In descending order, the numbers should be arranged as:
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 option is:
**7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30**

So my initial response was accurate. Thank you for prompting me to confirm!