Question

In which set are the numbers arranged in ascending order?(1 point)
Responses

0.000325, 0.00225, 0.00125, 0.00325

3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3
3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 3 Baseline

3.25 × 10−3, 2.25 × 10−3, 3.25 × 10−4, 1.25 × 10−3
3.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline

0.00125, 0.00225, 0.000325, 0.00325

Answer 1

To determine which set of numbers is arranged in ascending order, we first need to convert all the numbers into the same format (either decimal or scientific notation) and compare their values.

1. The first set:
- 0.000325 = 3.25 × 10⁻⁴
- 0.00125 = 1.25 × 10⁻³
- 0.00225 = 2.25 × 10⁻³
- 0.00325 = 3.25 × 10⁻³

In ascending order: 0.000325, 0.00125, 0.00225, 0.00325

2. The second set (scientific notation):
- 3.25 × 10⁻⁴ = 0.000325
- 1.25 × 10⁻³ = 0.00125
- 2.25 × 10⁻³ = 0.00225
- 3.25 × 10⁻³ = 0.00325

In ascending order: 3.25 × 10⁻⁴, 1.25 × 10⁻³, 2.25 × 10⁻³, 3.25 × 10⁻³

3. The third set:
- 3.25 × 10⁻³ = 0.00325
- 2.25 × 10⁻³ = 0.00225
- 3.25 × 10⁻⁴ = 0.000325
- 1.25 × 10⁻³ = 0.00125

Not in ascending order.

4. The fourth set:
- 0.00125 = 1.25 × 10⁻³
- 0.00225 = 2.25 × 10⁻³
- 0.000325 = 3.25 × 10⁻⁴
- 0.00325 = 3.25 × 10⁻³

Not in ascending order.

Thus, the only set that is arranged in ascending order is:
**3.25 × 10⁻⁴, 1.25 × 10⁻³, 2.25 × 10⁻³, 3.25 × 10⁻³**.