Quiz Chapter 01.03 Sources of Error

1. Truncation error is caused by approximating

2. A computer that represents only 4 significant digits with chopping would calculate 66.666\times33.333 as

3. A computer that represents only 4 significant digits with rounding would calculate 66.666\times33.333 as

4. The truncation error in calculating {f}'\left(2\right) for f\left(x\right)=x^{2} by {f}'\left(x\right)\cong\dfrac{f\left(x+h\right)-f\left(x\right)}{h} with h=0.2 is

5. The truncation error in finding\, \displaystyle\int_{-3}^{0}x^{3}dx using LRAM (left end point Riemann approximation) with equally portioned points -3<0<3<6<9 is

6. The number 1/10 is registered in a fixed 6 bit-register with all bits used for the fractional part.  The difference gets accumulated every 1/10th of a second for one day.  The magnitude of the accumulated difference is