Respuesta :
To answer this question, we have that:
1. We have that the members of a cross-country track team ran 142 km one week.
2. The next weak team members ran 14 km more than the first week.
Then, we have that in the two weeks they ran:
[tex]142+(142+14)=298[/tex]They ran 298 km in total (this is the correct distance they ran).
Then, if we rounded this number to the nearest hundred we obtain 300 km.
When we estimate, we can round these estimations to the nearest ten, the nearest hundred, and so on.
If Tyler estimated that the team ran 400, it was because Tyler wrongly rounded:
1. Maybe he rounded 142 to the nearest hundred as 200 (it must be 100 km), and
2. (142 + 14 = 156) to the nearest hundred as 200 (it must be 200 km).
3. Then, Tyler obtained 200 km + 200 km = 400 km (it must be 100 + 200 = 300 km).
The correct estimation of 142 to the nearest hundred is 100 (because we do not have a number greater than 150). Therefore, the correct estimation to 156 is 200 (to the nearest hundred).
Hence, the correct estimation of both numbers to the nearest hundred is 300 km.
When we round to a place number, we need to look at the value to the right of this position, that is, if the value is 5 or bigger, we need to round up the place value. That is what we did, in part, in this answer.
