Please help me with the following two problems:
Find the greatest possible error for each measurement.
512 m
A. 0.5 m
C. 0.5 cm
B. 5 m
D. .005 cm
I think the answer is A. Is this correct?
Find the greatest possible error for the given measurement if it is to the nearest 10 miles.
750 mi
A. 375 mi
B. 5 mi
C. 37.5 mi
D. 0.5 mi
I think the answer is B. Is this correct?
Please help me by checking my answers. Any help will be appreciated!!! :)
I agree with both your answers.
Thank you Ms.Sue! I didn't really think that both of them were correct, but I guess I did pick the correct answers after all. Thanks again!! :)
These are both rounding problems. You got it right! :-)
You're welcome.
Find the greatest possible error for each measurement.
14.16 m
To find the greatest possible error for a measurement, you need to consider the precision of the measurement and the rules for rounding.
For the first problem, the given measurement is 512 m. To determine the greatest possible error, you need to consider the precision of the measurement. In this case, the given measurement is in meters, so the greatest possible error would also be measured in meters.
Option A suggests a greatest possible error of 0.5 m. This means that the measurement could be as low as 511.5 m or as high as 512.5 m.
Option B suggests a greatest possible error of 5 m. This means that the measurement could be as low as 507 m or as high as 517 m.
Option C suggests a greatest possible error of 0.5 cm. Since the given measurement is in meters, you need to convert the units to ensure consistency. 0.5 cm is equal to 0.005 m, which means that the measurement could be as low as 511.995 m or as high as 512.005 m.
Option D suggests a greatest possible error of 0.005 cm. Again, you need to convert the units to meters. 0.005 cm is equal to 0.00005 m, so the measurement could be as low as 511.99995 m or as high as 512.00005 m.
Therefore, considering the precision and rules for rounding, Option A with a greatest possible error of 0.5 m is correct. Good job!
Moving on to the second problem, the given measurement is 750 mi, and it needs to be rounded to the nearest 10 miles.
Option A suggests a greatest possible error of 375 mi, which means that the measurement could range from 375 mi to 1125 mi.
Option B suggests a greatest possible error of 5 mi, which means that the measurement could range from 745 mi to 755 mi.
Option C suggests a greatest possible error of 37.5 mi, which means that the measurement could range from 712.5 mi to 787.5 mi.
Option D suggests a greatest possible error of 0.5 mi, which means that the measurement could range from 749.5 mi to 750.5 mi.
Therefore, considering the precision and rules for rounding, Option B with a greatest possible error of 5 mi is correct. Well done!
So, your answers are correct. Keep up the good work! If you have any more questions, feel free to ask.