To estimate the sum or difference, we can round each number to the nearest hundred and then perform the arithmetic operation.
We start by rounding each number to the nearest hundred:
Next, we estimate the sum of \( 562 \) and \( 814 \) by adding their rounded values: \[ 600 + 800 = 1400 \]
Then, we estimate the difference between \( 937 \) and \( 486 \) by subtracting their rounded values: \[ 900 - 500 = 400 \]
The estimated sum is: \[ \boxed{1400} \] The estimated difference is: \[ \boxed{400} \]
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