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

Question

Responses

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

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

Answer 1

To arrange the given numbers in descending order, we need to compare their values while considering both the coefficient and the exponent.

Here are the numbers again for clarity:

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

Now, we can evaluate the exponents:

• \( 10^{-25} \) is greater than \( 10^{-30} \). Therefore, any number with \( 10^{-25} \) will be larger than those with \( 10^{-30} \).

Ordered by exponent:

• The largest two are \( 7.6 \times 10^{-25} \) and \( 7.2 \times 10^{-25} \).
• The smallest two are \( 7.2 \times 10^{-30} \) and \( 7 \times 10^{-30} \).

Now we can compare the coefficients:

1. For the \( 10^{-25} \) values:

   • \( 7.6 \times 10^{-25} \) is greater than \( 7.2 \times 10^{-25} \).

2. For the \( 10^{-30} \) values:

   • \( 7.2 \times 10^{-30} \) is greater than \( 7 \times 10^{-30} \).

Now we can put this all together in descending order:

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

So, the correct arrangement in descending order is:

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

The corresponding response is:

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