Chapter 1.3, Problem 3E

Use three-digit rounding arithmetic to perform the following calculations. Compute the absolute error and relative error with the exact value determined to at least five digits.

Solve the following linear systems using four-digit rounding arithmetic.

1. $133+0.921$
2. $133-0.499$
3. $(121-0.327)-119$
4. $(121-119)-0.327$
5. $\frac{\frac{13}{14}-\frac{6}{7}}{2e-5.4}$
6. $-10\pi +6e-\frac{3}{62}$
7. $\left(\frac{2}{9}\right)\cdot \left(\frac{9}{7}\right)$
8. $\frac{\pi -\frac{22}{7}}{\frac{1}{17}}$