Holistic Numerical Methods Institute

committed to bringing numerical methods to undergraduates

Multiple Choice Test

Sources of Error

 

Q1. Truncation error is caused by approximating

irrational numbers

fractions

rational numbers

exact mathematical procedures

 

Q2. A computer that represents only 4 significant digits with chopping would calculate 66.666*33.333 as

2220

2221
 2221.17778
 2222

 

Q3. A computer that represents only 4 significant digits with rounding would calculate 66.666*33.333 as

2220
 2221
 2221.17778
 2222

Q4. The truncation error in calculating f'(2) for f(x)=x2 by  

with h=0.2 is                     

-0.20

0.20

4.0

4.2

 

Q5. The truncation error in finding

 

using LRAM (left end point Riemann approximation) with equally portioned points  -3<0<3<6<9 is        

648
 756
 972
 1620

 

Q6. 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

0.082
 135
 270
 5400

 

 

 

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