Problem in numbers significant, absolute error

Question

I am learning "Absolute error" in the significant figures. But one exercise I think has written the wrong answer, or I'm confused.

I know that the absolute error has the formula of:

| Original value - value approximate |

Then, the problem says:

The best approximation by excess to the hundredth of the number -5,2672 the error that is committed is

| 5,2672 - 5,27000 | = 0,0028

But the answer is 0.0072, what am I failing?

Answer 1

As the question suggest, we need an approximation by excess. The approximate value that you used is $-5.27 < -5.2672$. This leads to a wrong result. Therefore, we should take $-5.26$ instead. This will give the desired answer.

$$|\text{original value} - \text{approximate value}| = |(-5.2672) - (-5.26)| = |-0.0072| = 0.0072$$