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

Question

Responses

7.2 × 10^−30
7.2

×

10
−
30
, 7 × 10^−30
7

×

10
−
30
, 7.6 × 10^−25
7.6

×

10
−
25
, 7.2 × 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
7.6

×

10
−
25
, 7.2 × 10^−30
7.2

×

10
−
30
, 7.2 × 10^−25
7.2

×

10
−
25
, 7 × 10^−30
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
7.6

×

10
−
25
, 7.2 × 10^−25
7.2

×

10
−
25
, 7.2 × 10^−30
7.2

×

10
−
30
, 7 × 10^−30
7

×

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

Answer 1

To compare the numbers in scientific notation, look primarily at the exponent. The numbers can be arranged in descending order as follows:

1. Largest exponents come first: Numbers with higher exponent values (less negative) are larger.
2. When exponents are the same, compare the coefficients.

Let's analyze the provided numbers:

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

Ordering these based on the exponent and coefficient, we have:

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

Thus, the correct set arranged in descending order is:

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