Solved on Dec 09, 2023
Round to the nearest thousand.
STEP 1
Assumptions
1. We are given that .
2. We are asked to round this approximation to the nearest thousandth.
STEP 2
To round the given logarithm to the nearest thousandth, we need to look at the fourth decimal place.
STEP 3
Since the given approximation is , we assume the third decimal place is zero, as it is not provided. Thus, we consider the number as .
STEP 4
The fourth decimal place is not given, so we assume it is less than 5 because if it were 5 or more, it would have been rounded up and affected the third decimal place.
STEP 5
Since the fourth decimal place is assumed to be less than 5, we do not need to increase the third decimal place when rounding to the nearest thousandth.
STEP 6
Therefore, the logarithm rounded to the nearest thousandth is .
when rounded to the nearest thousandth.
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