Question

A number, x, rounded to 1 decimal place is 3.7Write down the error interval for x.​

Answer 1

Answer:

$3.65 \leqslant x \leqslant 3.75$

Step-by-step explanation:

The error in rounding a number is half of the unit of measure.

The number was rounded to the nearest 0.1 unit so the error is 1/2×0.1, which equals 0.05.

Now we add 3.7 and 0.05, which equals 3.75 and we also take 3.7 - 0.05, which equals 3.65

So, the error interval is:

$3.65 \leqslant x \leqslant 3.75$