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34.9 was rounded to 1 decimal place. What is the upper bound?

1 Answer

6 votes

Answer: 34.95

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Step-by-step explanation:

The upper boundary, or upper bound, is a fence of sorts.

Note how the following values all round to 34.9, when rounding to one decimal place

  • 34.94
  • 34.945
  • 34.949
  • 34.9499
  • 34.94999
  • 34.949999
  • 34.9499999
  • 34.94999999

We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9

All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0

User Prithvi Bhola
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