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The number 87 has been rounded to the nearest integer. Find its lower and upper bounds.

The number $87$ has been rounded to the nearest integer. Find its lower and upper bounds.

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Absolute value and opposite integers

Full solution

Q. The number

87

has been rounded to the nearest integer. Find its lower and upper bounds.

Identify Rounding Range: If $87$ is rounded to the nearest integer, that means the original number was at least $86.5$ and less than $87.5$ .
Determine Lower Bound: So, the lower bound is $86.5$ because if it was any lower, it wouldn't round up to $87$ .
Establish Upper Bound: And the upper bound is $87.5$ , because if it was any higher, it would round up to $88$ instead of $87$ .

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