Since measurements are uncertain any calculation that involves a measurement will yield results that are uncertain. To see how this works calculate the minimum and maximum possible values you can get from the calculation below, where [ _ , _ ] represents the [minimum, maximum] values of the uncertain number.

[1.22,1.24] + 2.67 =?

The minimum value is:

The maximum value is:

Question

Since measurements are uncertain any calculation that involves a measurement will yield results that are uncertain. To see how this works calculate the minimum and maximum possible values you can get from the calculation below, where [ _ , _ ] represents the [minimum, maximum] values of the uncertain number.

[1.22,1.24] + 2.67 =?

The minimum value is:
 
 The maximum value is:

BlackTom AI · Accepted Answer

We are given a measurement with uncertainty represented as an interval [1.22, 1.24] being added to a fixed value 2.67. 
First, consider how addition with an interval works: you add the smallest possible value to the fixed number to get the minimum result, and you add the largest possible value to get the maximum result. 
For the minimum value, use the lower end of the interval: 1.22 + 2.67 = 3.89. 
For the maximum value, use the upper end of the interval: 1.24 + 2.67 = 3.91. 
This yields the range of possible results from the calculation as [3.89, 3.91], reflecting the propagated uncertainty in the original measurement.

CHEM 105-A09C Prelab 3 Measurements, Significant Digits & Density

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