Question
Jenna calculated several numbers in her calculator. The result displayed -1.7E-4 on the calculator screen. Which equivalent number(s) does this represent? Select all that apply.
0.00017
-1,700
-1.7 × 10^-4
-0.00017
1.7 × 10^-4
0.00017
-1,700
-1.7 × 10^-4
-0.00017
1.7 × 10^-4
Answers
GPT-4o mini
The result displayed on Jenna's calculator is \(-1.7E-4\), which is a scientific notation for the number \(-1.7 \times 10^{-4}\).
Let's evaluate the options:
1. **0.00017**: This is \(1.7 \times 10^{-4}\), which is a positive number. This does not match \(-1.7E-4\).
2. **-1,700**: This is \(-1.7 \times 10^{3}\), which is much larger in magnitude. This does not match \(-1.7E-4\).
3. **-1.7 × 10^-4**: This is exactly the same as \(-1.7E-4\), so this matches.
4. **-0.00017**: This is also \(-1.7 \times 10^{-4}\), so this matches.
5. **1.7 × 10^-4**: This is \(1.7 \times 10^{-4}\), a positive number. This does not match \(-1.7E-4\).
From the evaluation, the equivalent numbers that align with \(-1.7E-4\) are:
- **-1.7 × 10^-4**
- **-0.00017**
These are the correct selections.
Let's evaluate the options:
1. **0.00017**: This is \(1.7 \times 10^{-4}\), which is a positive number. This does not match \(-1.7E-4\).
2. **-1,700**: This is \(-1.7 \times 10^{3}\), which is much larger in magnitude. This does not match \(-1.7E-4\).
3. **-1.7 × 10^-4**: This is exactly the same as \(-1.7E-4\), so this matches.
4. **-0.00017**: This is also \(-1.7 \times 10^{-4}\), so this matches.
5. **1.7 × 10^-4**: This is \(1.7 \times 10^{-4}\), a positive number. This does not match \(-1.7E-4\).
From the evaluation, the equivalent numbers that align with \(-1.7E-4\) are:
- **-1.7 × 10^-4**
- **-0.00017**
These are the correct selections.