Question
Which set of numbers is arranged in descending order?(1 point)
Responses
7.6 × 10 to the power of −25, 7.2 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7 × 10 to the power of −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
7.6 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7.2 × 10 to the power of −25, 7 × 10 to the power of −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
7.2 × 10 to the power of −30, 7 × 10 to the power of −30, 7.6 × 10 to the power of −25, 7.2 × 10 to the power of −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 × 10 to the power of −30, 7.2 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7.6 × 10 to the power of −25
Responses
7.6 × 10 to the power of −25, 7.2 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7 × 10 to the power of −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
7.6 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7.2 × 10 to the power of −25, 7 × 10 to the power of −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
7.2 × 10 to the power of −30, 7 × 10 to the power of −30, 7.6 × 10 to the power of −25, 7.2 × 10 to the power of −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 × 10 to the power of −30, 7.2 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7.6 × 10 to the power of −25
Answers
GPT-4o mini
To determine which set of numbers is arranged in descending order, we should compare the values of each number.
1. **7.6 × 10^(-25)** is the largest because it has the highest coefficient (7.6) with the least negative exponent.
2. **7.2 × 10^(-25)** is next because it has the same exponent as 7.6, but a smaller coefficient.
3. **7.2 × 10^(-30)** comes next since its exponent (-30) is more negative than -25, even though the coefficient (7.2) is the same as the previous number with a bigger exponent.
4. **7 × 10^(-30)** is the smallest because, similar to the previous value, it has a more negative exponent and a smaller coefficient than 7.2 × 10^(-30).
So, in descending order, the correct arrangement is:
**7.6 × 10^(-25), 7.2 × 10^(-25), 7.2 × 10^(-30), 7 × 10^(-30)**
This corresponds to the first response option:
**7.6 × 10 to the power of −25, 7.2 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7 × 10 to the power of −30.**
1. **7.6 × 10^(-25)** is the largest because it has the highest coefficient (7.6) with the least negative exponent.
2. **7.2 × 10^(-25)** is next because it has the same exponent as 7.6, but a smaller coefficient.
3. **7.2 × 10^(-30)** comes next since its exponent (-30) is more negative than -25, even though the coefficient (7.2) is the same as the previous number with a bigger exponent.
4. **7 × 10^(-30)** is the smallest because, similar to the previous value, it has a more negative exponent and a smaller coefficient than 7.2 × 10^(-30).
So, in descending order, the correct arrangement is:
**7.6 × 10^(-25), 7.2 × 10^(-25), 7.2 × 10^(-30), 7 × 10^(-30)**
This corresponds to the first response option:
**7.6 × 10 to the power of −25, 7.2 × 10 to the power of −25, 7.2 × 10 to the power of −30, 7 × 10 to the power of −30.**