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.
1.7 × 10^-4
-1,700
0.00017
-0.00017
-1.7 × 10^-4
1.7 × 10^-4
-1,700
0.00017
-0.00017
-1.7 × 10^-4
Answers
GPT-4o mini
The notation -1.7E-4 represents -1.7 times 10 raised to the power of -4. This can be expressed as:
-1.7 × 10^-4
Now, let's evaluate the other options:
1. **1.7 × 10^-4** - This is positive, so it does not represent the same value as -1.7E-4.
2. **-1,700** - This is not equivalent; it is much larger in magnitude.
3. **0.00017** - This is positive, so it does not represent the same value.
4. **-0.00017** - This is equivalent because -0.00017 is the decimal representation of -1.7E-4.
5. **-1.7 × 10^-4** - This is exactly the same as -1.7E-4.
So, the equivalent numbers are:
- **-0.00017**
- **-1.7 × 10^-4**
-1.7 × 10^-4
Now, let's evaluate the other options:
1. **1.7 × 10^-4** - This is positive, so it does not represent the same value as -1.7E-4.
2. **-1,700** - This is not equivalent; it is much larger in magnitude.
3. **0.00017** - This is positive, so it does not represent the same value.
4. **-0.00017** - This is equivalent because -0.00017 is the decimal representation of -1.7E-4.
5. **-1.7 × 10^-4** - This is exactly the same as -1.7E-4.
So, the equivalent numbers are:
- **-0.00017**
- **-1.7 × 10^-4**