Which set of numbers is arranged in descending order?(1 point)Responses7.6 × 10−25, 7.2 × 10−30, 7.2 × 10−25, 7 × 10−307.6 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 Baseline7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−307.6 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 Baseline7 × 10−30, 7.2 × 10−25, 7.2 × 10−30, 7.6 × 10−257 times 10 Superscript negative 30 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7.6 times 10 Superscript negative 25 Baseline7.2 × 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
To find the set of numbers arranged in descending order, we compare the numbers in the given options. The correct set of numbers arranged in descending order is:
7.6 × 10^-25, 7.2 × 10^-25, 7.2 × 10^-30, 7 × 10^-30.
To determine which set of numbers is arranged in descending order, we need to compare the values.
Let's break down the values in each set:
Set 1: 7.6 × 10^-25, 7.2 × 10^-30, 7.2 × 10^-25, 7 × 10^-30
Set 2: 7.6 × 10^-25, 7.2 × 10^-25, 7.2 × 10^-30, 7 × 10^-30
Set 3: 7 × 10^-30, 7.2 × 10^-25, 7.2 × 10^-30, 7.6 × 10^-25
Set 4: 7.2 × 10^-30, 7 × 10^-30, 7.6 × 10^-25, 7.2 × 10^-25
To compare exponential values, we can ignore the 10 and focus on the coefficient (the number before it). The general rule is that a larger coefficient value will be ranked higher.
Comparing the coefficient values in each set:
Set 1: 7.6, 7.2, 7.2, 7
Set 2: 7.6, 7.2, 7.2, 7
Set 3: 7, 7.2, 7.2, 7.6
Set 4: 7.2, 7, 7.6, 7.2
Looking at the coefficient values, we can see that Set 1 and Set 2 have the same coefficients. However, Set 3 has a lower coefficient value of 7, making it ranked last. Set 4 also has a lower coefficient value of 7, but the other values are higher than Set 3. Thus, the arrangement in descending order is:
7.6 × 10^-25, 7.2 × 10^-25, 7.2 × 10^-30, 7 × 10^-30
Therefore, the correct answer is the third option: 7.6 × 10^-25, 7.2 × 10^-25, 7.2 × 10^-30, 7 × 10^-30.