Question

A number, n, is rounded to 2 decimal places.
The result is 3.87
Using inequalities, write down the error interval for n.
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Answer 1

Using rounding concepts, it is found that the error interval for n is:

$3.865 \leq n < 3.875$

The number is rounded to two decimal places, hence:

• If the third decimal digit is 5 or more, one is added to the second decimal digit.
• If the third decimal digit is of 4 or less, the second digit stays the same.

From this, we have that values between 3.865(inclusive) and 3.875(exclusive) are rounded to 3.87, which means that the error interval is:

$3.865 \leq n < 3.875$

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