Consider: a=3.2pm 0.5 b=1.5pm 0.1 c=0.07pm 0.06 What is the uncertainty in a-(b)/(2)+11c

## Step 1: Calculate the partial uncertainties<br />### The uncertainty in a quantity obtained by multiplication or division is the sum of the fractional uncertainties of the quantities involved. The uncertainty in a sum or difference is the sum of the absolute uncertainties. The uncertainty in $\frac{b}{2}$ is $\frac{0.1}{2} = 0.05$. The uncertainty in $11c$ is $11 \times 0.06 = 0.66$.<br /><br />## Step 2: Calculate the total uncertainty<br />### The total uncertainty is the sum of the individual uncertainties: $0.5 + 0.05 + 0.66 = 1.21$.