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

Responses

7.6 × 10 to the power of −25, 7.2 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7 × 10 to the power of −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

7.6 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7.2 × 10 to the power of −25, 7 × 10 to the power of −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

7.2 × 10 to the power of −30, 7 × 10 to the power of −30, 7.6 × 10 to the power of −25, 7.2 × 10 to the power of −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 to the power of −30, 7.2 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7.6 × 10 to the power of −25

1 answer

To determine which set of numbers is arranged in descending order, we should compare the values of each number.

  1. 7.6 × 10^(-25) is the largest because it has the highest coefficient (7.6) with the least negative exponent.
  2. 7.2 × 10^(-25) is next because it has the same exponent as 7.6, but a smaller coefficient.
  3. 7.2 × 10^(-30) comes next since its exponent (-30) is more negative than -25, even though the coefficient (7.2) is the same as the previous number with a bigger exponent.
  4. 7 × 10^(-30) is the smallest because, similar to the previous value, it has a more negative exponent and a smaller coefficient than 7.2 × 10^(-30).

So, in descending order, the correct arrangement is:

7.6 × 10^(-25), 7.2 × 10^(-25), 7.2 × 10^(-30), 7 × 10^(-30)

This corresponds to the first response option: 7.6 × 10 to the power of −25, 7.2 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7 × 10 to the power of −30.