Question

The depth, d, of a lake is 472 m, rounded to the nearest integer.
Write the error interval for
d in the form
a ≤ d < b

Answer 1

The error interval for the depth of the lake is the smallest and the largest number that can be approximated to 472

The error interval for the depth of the lake is $471.5 \le d \le 472.5$

How to determine the error interval

The depth of the lake is given as:

472 m

The smallest number that can be approximated to 472 is 471.5, while the largest number that can be approximated to 472 is 472.4

To include the errors, we increase the larger number by 0.1.

So, we have:

$471.5 \le d \le 472.5$

Hence, the error interval for the depth of the lake is $471.5 \le d \le 472.5$

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