Question
Dean ran 5 miles this week and wants to know how many kilometers he ran. His work is below:
What are Dean’s errors? Select the two that apply.
(2 points)
Responses
The decimal point in his answer is in the wrong place.
The decimal point in his answer is in the wrong place.
Dean should have used two conversion factors.
Dean should have used two conversion factors.
He has the wrong units in his answer.
He has the wrong units in his answer.
Dean should have kilometers in the denominator of the conversion factor.
What are Dean’s errors? Select the two that apply.
(2 points)
Responses
The decimal point in his answer is in the wrong place.
The decimal point in his answer is in the wrong place.
Dean should have used two conversion factors.
Dean should have used two conversion factors.
He has the wrong units in his answer.
He has the wrong units in his answer.
Dean should have kilometers in the denominator of the conversion factor.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To convert miles to kilometers, the correct conversion factor is that 1 mile is approximately 1.60934 kilometers. Dean should be using this factor to perform the conversion.
The potential errors in Dean's work would likely include the following:
1. **The decimal point in his answer is in the wrong place.** - This could be a possibility if he made an arithmetic error in converting the distance, leading to an incorrect numerical answer.
2. **He has the wrong units in his answer.** - If he ended up with miles instead of kilometers after the conversion, this would indicate a mistake in unit conversion.
3. **Dean should have kilometers in the denominator of the conversion factor.** - This statement is likely referencing how conversion factors are set up, where you want to cancel out miles to end up with kilometers. The proper setup would indeed have kilometers in the denominator of the equivalent conversion factor to ensure that miles cancel out.
From the options you've provided, the following two statements apply to Dean's likely errors:
- **He has the wrong units in his answer.**
- **Dean should have kilometers in the denominator of the conversion factor.**
These indicate that there is a misunderstanding or a mistake in how he set up the conversion process and the resulting units.
The potential errors in Dean's work would likely include the following:
1. **The decimal point in his answer is in the wrong place.** - This could be a possibility if he made an arithmetic error in converting the distance, leading to an incorrect numerical answer.
2. **He has the wrong units in his answer.** - If he ended up with miles instead of kilometers after the conversion, this would indicate a mistake in unit conversion.
3. **Dean should have kilometers in the denominator of the conversion factor.** - This statement is likely referencing how conversion factors are set up, where you want to cancel out miles to end up with kilometers. The proper setup would indeed have kilometers in the denominator of the equivalent conversion factor to ensure that miles cancel out.
From the options you've provided, the following two statements apply to Dean's likely errors:
- **He has the wrong units in his answer.**
- **Dean should have kilometers in the denominator of the conversion factor.**
These indicate that there is a misunderstanding or a mistake in how he set up the conversion process and the resulting units.
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