Question

The depth, d , of a lake is 57 m, rounded to the nearest integer. Write the error interval for d in the form a ≤ d < b .

Answer 1

Given:

The depth, d , of a lake is 57 m, rounded to the nearest integer

Find he error interval for d in the form a ≤ d < b

57 m is rounded to the nearest integer

Least possible is 56.5  (round to 57)

And greatest possible is 57.4m   (round to 57)

We can write it as :

56.5 ≤ 57 ≤ 57.4

Hence the error interval for d in the form a ≤ d < b is 56.5 ≤ 57 ≤ 57.4