Exercises 1.5 Exercises
1.
Evaluate in \(D_3\) the quantities
\begin{equation*}
7\times(8/7-1)-1
\end{equation*}
and
\begin{equation*}
10\times(11/10-1)-1\text{.}
\end{equation*}
2.
Evaluate in \(D_3\) the quantity
\begin{equation*}
1.00 + 0.002 + 0.002 + 0.002
\end{equation*}
first summing from left to right and then from right to left. This calculation shows that one should always sum numbers after sorting them from the smallest to the largest.3.
Evaluate in \(D_3\) the value of the mathematically (but not numerically!) equivalent expressions
\begin{equation*}
1-\sqrt{1-a}
\end{equation*}
and
\begin{equation*}
\frac{a}{1+\sqrt{1-a}}
\end{equation*}
for \(a=1.00\times10^{-3}\text{.}\) Which one gives the most accurate result? Why?