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.
-0.00018
1.8 × 10 -4
18 × 10 4
0.00018
1800
-0.00018
1.8 × 10 -4
18 × 10 4
0.00018
1800
Answers
GPT-4o mini
The notation 1.8E-4 represents the scientific notation for the number \( 1.8 \times 10^{-4} \), which is equal to \( 0.00018 \).
Let's analyze the options:
1. **-0.00018**: This is not equivalent; it has a negative sign.
2. **1.8 × 10 -4**: This is equivalent. It represents the same value as 1.8E-4.
3. **18 × 10 4**: This is not equivalent. This equals \( 180 \), which is much larger than \( 0.00018 \).
4. **0.00018**: This is equivalent; it is the decimal form of \( 1.8E-4 \).
5. **1800**: This is not equivalent; it's much larger than \( 0.00018 \).
The correct answers are:
- **1.8 × 10 -4**
- **0.00018**
Let's analyze the options:
1. **-0.00018**: This is not equivalent; it has a negative sign.
2. **1.8 × 10 -4**: This is equivalent. It represents the same value as 1.8E-4.
3. **18 × 10 4**: This is not equivalent. This equals \( 180 \), which is much larger than \( 0.00018 \).
4. **0.00018**: This is equivalent; it is the decimal form of \( 1.8E-4 \).
5. **1800**: This is not equivalent; it's much larger than \( 0.00018 \).
The correct answers are:
- **1.8 × 10 -4**
- **0.00018**