For each of the following, perform the following computations (i) exactly, (ii)
ID: 670200 • Letter: F
Question
For each of the following, perform the following computations (i) exactly, (ii) using three-digit rounding. (iii) Compute the relative errors. (Note if your answer is between -1 and 1, then you must type 0.xxx for your answer.)
a. 6/7+1/3
Exact =
In three-digit arithmetic =
Relative Error Rounding =
b. 6/71/3
Exact =
In three-digit arithmetic =
Relative Error Rounding =
c. (1/34/11)+3/19
Exact =
In three-digit arithmetic =
Relative Error Rounding =
d. 4/931/71
Exact =
In three-digit arithmetic =
Relative Error Rounding =
Explanation / Answer
a) 6/7+1/3
exact = 25/21 =1.1904761905
three decimal = 1.190
reletive error = 0.04%
b) 6/7*1/3
exact = 2/7 = 0.2857142857
three decimal = 0.286
reletive error = 0.1%
c) (1/3 - 4/11) + 3/19
exact = 80/627 = 0.1275917068
three decimal = 0.128
reletive error = 0.3199%
d) 4/9-31/71
exact =5/639 = 0.0078247261
three decimal = 0.008
reletive error = 2.24%
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