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

Question

07.2 × 10-30,7 × 10-30, 7.6 × 10-25,7.2 × 10-25
07.6 X 10-25,7.2 × 10-30, 7.2 × 10-25, 7 × 10-30
07.6 × 10-25,7.2 × 10-25,7.2 × 10-30, 7 × 10-30
07×10-30,7.2 × 10-25,7.2 × 10-30,7.6 × 10-25

Answer 1

To determine which set of numbers is arranged in descending order, we need to compare the values of the numbers given in scientific notation.

1. Converting the numbers:
   • 07.2 × 10^-30 = 0.000000000000000000000000000000072
   • 7 × 10^-30 = 0.00000000000000000000000000000007
   • 7.6 × 10^-25 = 0.0000000000000000000000000076
   • 7.2 × 10^-25 = 0.0000000000000000000000000072

Now, let's compare the sets provided:

1. Set 1: 07.2 × 10^-30, 7 × 10^-30, 7.6 × 10^-25, 7.2 × 10^-25

   • 7.6 × 10^-25 (largest), 7.2 × 10^-25, 07.2 × 10^-30, 7 × 10^-30

2. Set 2: 07.6 × 10^-25, 7.2 × 10^-30, 7.2 × 10^-25, 7 × 10^-30

   • 7.6 × 10^-25 (largest), then goes down to 7.2 × 10^-25, then 7.2 × 10^-30, then 7 × 10^-30

3. Set 3: 07.6 × 10^-25, 7.2 × 10^-25, 7.2 × 10^-30, 7 × 10^-30

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

4. Set 4: 07×10^-30, 7.2 × 10^-25, 7.2 × 10^-30, 7.6 × 10^-25

   • 7.2 × 10^-25 (largest), 7.6 × 10^-25, 7.2 × 10^-30, 7 × 10^-30 (incorrect order)

From the analysis, the correct descending order is most clearly represented in Set 3:

07.6 × 10^-25, 7.2 × 10^-25, 7.2 × 10^-30, 7 × 10^-30.

This set is arranged in descending order.