Question

Question

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

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
7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 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 × 10−30, 7.2 × 10−25, 7.2 × 10−30, 7.6 × 10−25

Answer 1

To determine which set of numbers is arranged in descending order, we can compare the numbers based on their scientific notation.

The numbers given are:

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

To compare these numbers, we should first look at the powers of ten:

• Numbers with higher powers of ten are larger (less negative when comparing).

Here are the numbers converted:

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

Now we can clearly see that:

• Numbers with \( 10^{-25} \) are larger than those with \( 10^{-30} \).
• Among the \( 10^{-25} \) numbers, \( 7.6 \times 10^{-25} \) is larger than \( 7.2 \times 10^{-25} \).
• Among the \( 10^{-30} \) numbers, \( 7.2 \times 10^{-30} \) is larger than \( 7 \times 10^{-30} \).

Now, arranging them in descending order yields:

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 that lists the numbers in descending order is:

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