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

Dean should have kilometers in the denominator of the conversion factor.
Dean should have kilometers in the denominator of the conversion factor.

He has the wrong units in his answer.
He has the wrong units in his answer.

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.

1 answer

To convert miles to kilometers, the correct conversion factor is that 1 mile is approximately equal to 1.60934 kilometers.

Looking at the options provided regarding Dean's errors:

  1. Dean should have kilometers in the denominator of the conversion factor. - This is not true. In the typical conversion for miles to kilometers, kilometers would be in the numerator (1 mile/1.60934 kilometers).

  2. He has the wrong units in his answer. - This could be true if he didn't express his final answer in kilometers. If his answer remained in miles or was incorrectly displayed in another unit, this would be an error.

  3. The decimal point in his answer is in the wrong place. - This is dependent on his actual numerical answer and whether it's miscalculated. We can't determine this without knowing his answer.

  4. Dean should have used two conversion factors. - This is not true unless he was converting from miles to a different unit before converting to kilometers, but that is not necessary for a direct mile to kilometer conversion.

Based on this analysis, the two possible errors could be:

  • He has the wrong units in his answer.
  • The decimal point in his answer is in the wrong place (if there was a miscalculation).

Thus the two relevant mistakes could be these, but keep in mind we can't definitively select the wrong decimal point error without Dean's numerical answer.