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

Question

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

Answer 1

To arrange the numbers in descending order, we first need to evaluate each number based on their exponent in the scientific notation. The numbers in question are:

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

Now, let's write these values with a consistent exponent for easier comparison:

• \( 7.6 \times 10^{-25} \) remains the same.
• \( 7.2 \times 10^{-30} = 0.072 \times 10^{-25} \)
• \( 7.2 \times 10^{-25} \) remains the same.
• \( 7 \times 10^{-30} = 0.07 \times 10^{-25} \)

Now, let's compare the values:

• \( 7.6 \times 10^{-25} \) (which is 7.6)
• \( 7.2 \times 10^{-25} \) (which is 7.2)
• \( 0.072 \times 10^{-25} \) (which is 0.072)
• \( 0.07 \times 10^{-25} \) (which is 0.07)

In terms of descending order, we have:

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 set in descending order is:

\( 7.6 \times 10^{-25}, 7.2 \times 10^{-25}, 7.2 \times 10^{-30}, 7 \times 10^{-30} \)

Now, looking at the options:

• Option 4: \( 7.6 \times 10^{-25}, 7.2 \times 10^{-25}, 7.2 \times 10^{-30}, 7 \times 10^{-30} \)

This is the correct arrangement in descending order.