Question
Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen. Which equivalent number(s) does this represent? Select all that apply.
18 × 10 4
1800
-0.00018
1.8 × 10 -4
0.00018
18 × 10 4
1800
-0.00018
1.8 × 10 -4
0.00018
Answers
GPT-4o mini
The notation \( 1.8E-4 \) represents \( 1.8 \times 10^{-4} \).
Let's evaluate the options:
1. **18 × 10 4**: This is equivalent to \( 18 \times 10^4 = 180000 \). Not equivalent.
2. **1800**: This is not equivalent to \( 1.8E-4 \). Not equivalent.
3. **-0.00018**: This is negative, while \( 1.8E-4 \) is positive. Not equivalent.
4. **1.8 × 10 -4**: This is exactly the same as \( 1.8E-4 \). Equivalent.
5. **0.00018**: This is equal to \( 1.8 \times 10^{-4} \). Equivalent.
Therefore, the correct equivalent numbers are:
- **1.8 × 10 -4**
- **0.00018**
Let's evaluate the options:
1. **18 × 10 4**: This is equivalent to \( 18 \times 10^4 = 180000 \). Not equivalent.
2. **1800**: This is not equivalent to \( 1.8E-4 \). Not equivalent.
3. **-0.00018**: This is negative, while \( 1.8E-4 \) is positive. Not equivalent.
4. **1.8 × 10 -4**: This is exactly the same as \( 1.8E-4 \). Equivalent.
5. **0.00018**: This is equal to \( 1.8 \times 10^{-4} \). Equivalent.
Therefore, the correct equivalent numbers are:
- **1.8 × 10 -4**
- **0.00018**