Question

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

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


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


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


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

Answer 1

To arrange the sets of numbers in descending order, we need to compare their values. Since all numbers are in scientific notation, we first look at the exponents:

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

Comparing the exponents:
- The larger the exponent in scientific notation, the larger the value of the number. Therefore, since \(10^{-25}\) is greater than \(10^{-30}\), all numbers with an exponent of \(-25\) will be larger than any number with an exponent of \(-30\).
- Among \(7.6 \times 10^{-25}\) and \(7.2 \times 10^{-25}\), \(7.6\) is larger than \(7.2\).
- For the numbers with exponents of \(-30\), \(7.2\) is larger than \(7\).

So, we can summarize this as follows:
- The largest number is \(7.6 \times 10^{-25}\).
- The next is \(7.2 \times 10^{-25}\).
- Then, \(7.2 \times 10^{-30}\).
- Finally, the smallest is \(7 \times 10^{-30}\).

Thus, the correct descending order is:

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

The second option from your list is the one that shows this order:

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