Question
When written in standard form, which number is greater than 0.0125?(1 point) Responses 1.23×10−2 1.23 times 10 superscript negative 2 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 1.25×10−4
Answers
GPT-4o mini
To determine which number is greater than 0.0125 when written in standard form, we need to convert 0.0125 into standard form and then compare it with the given options.
0.0125 can be expressed in standard form as:
0.0125 = 1.25 × 10^(-2)
Now, let's evaluate the options:
1. **1.23 × 10^(-2)**: This equals 0.0123, which is less than 0.0125.
2. **1.15 × 10^(-3)**: This equals 0.0015, which is less than 0.0125.
3. **2.15 × 10^(-2)**: This equals 0.0215, which is greater than 0.0125.
4. **1.25 × 10^(-4)**: This equals 0.000125, which is less than 0.0125.
Therefore, among the options provided, the number **2.15 × 10^(-2)** is greater than 0.0125.
0.0125 can be expressed in standard form as:
0.0125 = 1.25 × 10^(-2)
Now, let's evaluate the options:
1. **1.23 × 10^(-2)**: This equals 0.0123, which is less than 0.0125.
2. **1.15 × 10^(-3)**: This equals 0.0015, which is less than 0.0125.
3. **2.15 × 10^(-2)**: This equals 0.0215, which is greater than 0.0125.
4. **1.25 × 10^(-4)**: This equals 0.000125, which is less than 0.0125.
Therefore, among the options provided, the number **2.15 × 10^(-2)** is greater than 0.0125.