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

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

3 answers

To arrange the numbers in descending order, we need to compare their values. The numbers given are:

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

First, let's note the powers of ten:

  • \( 10^{-30} \) is much smaller than \( 10^{-25} \). This means that any number with \( 10^{-30} \) will be smaller than any number with \( 10^{-25} \).

Now, let's convert the numbers for easy comparison:

  • \( 7.2 \times 10^{-25} = 7.2 \times 10^{-25} \) (this is the largest since it has the highest power of ten)
  • \( 7.6 \times 10^{-25} = 7.6 \times 10^{-25} \)
  • \( 7.2 \times 10^{-30} = 0.0000000000000000000000000072 \)
  • \( 7 \times 10^{-30} = 0.000000000000000000000000007 \)

Comparing the values:

  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 arrangement in descending order is: 7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30

This corresponds to the third option provided: 7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30.

are you sure.

Let's double-check the comparison of the numbers carefully:

Given the numbers:

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

Step 1: Comparing Values

  • Numbers with \( 10^{-25} \):

    • \( 7.2 \times 10^{-25} \)
    • \( 7.6 \times 10^{-25} \)

    Between these, \( 7.6 \times 10^{-25} \) is larger than \( 7.2 \times 10^{-25} \).

  • Numbers with \( 10^{-30} \):

    • \( 7.2 \times 10^{-30} \)
    • \( 7 \times 10^{-30} \)

    Between these, \( 7.2 \times 10^{-30} \) is larger than \( 7 \times 10^{-30} \).

Step 2: Ordering the Numbers

Now we can combine this information:

  • The largest number is \( 7.6 \times 10^{-25} \).
  • The next is \( 7.2 \times 10^{-25} \).
  • The next largest is \( 7.2 \times 10^{-30} \).
  • The smallest is \( 7 \times 10^{-30} \).

Conclusion:

In descending order, the numbers should be arranged as:

  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 option is: 7.6 × 10^−25, 7.2 × 10^−25, 7.2 × 10^−30, 7 × 10^−30

So my initial response was accurate. Thank you for prompting me to confirm!