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Which set of numbers is arranged in descending order?(1 point) 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 7.6 × 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 7.6 × 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

1 answer

To arrange the numbers in descending order, we need to compare their values, taking into account both their coefficients and the power of 10.

Here are the numbers presented again for clarity:

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

When comparing these numbers:

  • The numbers with \( 10^{-25} \) are greater than those with \( 10^{-30} \) because \( 10^{-25} \) is a larger magnitude than \( 10^{-30} \).
  • Among \( 7.2 \times 10^{-25} \) and \( 7.6 \times 10^{-25} \), \( 7.6 \times 10^{-25} \) is larger.
  • Among \( 7 \times 10^{-30} \) and \( 7.2 \times 10^{-30} \), \( 7.2 \times 10^{-30} \) is larger.

Based on this evaluation, we arrange them in descending order:

  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 set of numbers in descending order is:

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