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

Question

Responses

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

7.6 × 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

7.2 × 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
7 times 10 Superscript negative 30 Baseline ,  7.2 times 10 Superscript negative 25 Baseline ,  7.2 times 10 Superscript negative 30 Baseline …

Answer 1

To arrange the numbers in descending order, we need to compare their values. When working with numbers in scientific notation, we first look at the exponent (the power of 10) and then the leading coefficient if the exponents are the same.

The numbers are:

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

Let's compare them:

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

Since \( 10^{-25} \) is greater than \( 10^{-30} \), we can determine that the first two numbers are larger than the last two.

Now, we order the first two (with exponent -25) and then the last two (with exponent -30):

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

So the correct descending order is:

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

The correct response is:

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