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

Question

Responses

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

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

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

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

Answer 1

To determine which set of numbers is in descending order, we need to compare each number based on their values.

Let's write them out for comparison:

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

For clarity, we convert all numbers to a common exponent form:

• \( 7 \times 10^{-30} = 0.000000000000000000000000000007 \)
• \( 7.2 \times 10^{-25} = 0.000000000000000000000072 \)
• \( 7.2 \times 10^{-30} = 0.0000000000000000000000000072 \)
• \( 7.6 \times 10^{-25} = 0.000000000000000000000076 \)

Now that we can compare the numbers by their decimal values:

• \( 7.6 \times 10^{-25} \) is the largest.
• \( 7.2 \times 10^{-25} \) is next.
• \( 7.2 \times 10^{-30} \) comes after that.
• \( 7 \times 10^{-30} \) is the smallest.

Arranging these from the largest to the smallest gives us:

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 answer in descending order is:

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