Question
When written in standard form, which number is greater than 0.0125?(1 point)
Responses
1.25 × 10 −4
1.25 times 10 superscript negative 4 baseline
2.15 × 10 −3
2.15 times 10 superscript negative 3 baseline
2.15 × 10 −2
2.15 times 10 superscript negative 2 baseline
1.23 × 10 −2
Responses
1.25 × 10 −4
1.25 times 10 superscript negative 4 baseline
2.15 × 10 −3
2.15 times 10 superscript negative 3 baseline
2.15 × 10 −2
2.15 times 10 superscript negative 2 baseline
1.23 × 10 −2
Answers
GPT-4o mini
To compare the numbers in standard form to 0.0125, we need to convert all of them into decimal form.
1. \( 1.25 × 10^{-4} = 0.000125 \)
2. \( 2.15 × 10^{-3} = 0.00215 \)
3. \( 2.15 × 10^{-2} = 0.0215 \)
4. \( 1.23 × 10^{-2} = 0.0123 \)
Now, we can compare these decimal values to 0.0125:
- **0.000125** (from \( 1.25 × 10^{-4} \)) is less than 0.0125.
- **0.00215** (from \( 2.15 × 10^{-3} \)) is less than 0.0125.
- **0.0215** (from \( 2.15 × 10^{-2} \)) is greater than 0.0125.
- **0.0123** (from \( 1.23 × 10^{-2} \)) is less than 0.0125.
The only value that is greater than 0.0125 is **\( 2.15 × 10^{-2} \)**.
1. \( 1.25 × 10^{-4} = 0.000125 \)
2. \( 2.15 × 10^{-3} = 0.00215 \)
3. \( 2.15 × 10^{-2} = 0.0215 \)
4. \( 1.23 × 10^{-2} = 0.0123 \)
Now, we can compare these decimal values to 0.0125:
- **0.000125** (from \( 1.25 × 10^{-4} \)) is less than 0.0125.
- **0.00215** (from \( 2.15 × 10^{-3} \)) is less than 0.0125.
- **0.0215** (from \( 2.15 × 10^{-2} \)) is greater than 0.0125.
- **0.0123** (from \( 1.23 × 10^{-2} \)) is less than 0.0125.
The only value that is greater than 0.0125 is **\( 2.15 × 10^{-2} \)**.