Two calculations for the true values A (ATRUE = 1,100) and B (BTRUE = 1,000,100) yield the approximate values AAPPROX = 1,000 and BAPPROX = 1,000,000. The approximate values are both off by 100, therefore these values are equally accurate. Does this conclusion make sense? Why or why not?
Two calculations for the true values A (ATRUE = 1,100) and B (BTRUE = 1,000,100) yield the approximate values AAPPROX = 1,000 and BAPPROX = 1,000,000. The approximate values are both off by 100, therefore these values are equally accurate. Does this conclusion make sense? Why or why not?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Class: Numerical Methods
Textbook: Numerical Analysis 10th Ed by Burden and Faires
Topic: Round-off Errors and Computer Arithmetic (Sec 1.2)
3) Two calculations for the true values A (ATRUE = 1,100) and B (BTRUE = 1,000,100) yield the approximate values AAPPROX = 1,000 and BAPPROX = 1,000,000. The approximate values are both off by 100, therefore these values are equally accurate. Does this conclusion make sense? Why or why not?
4) For a 4-digit decimal machine numbers (with exponents in the range -6 ≤ n ≤ 6), find
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Largest possible number = ________________________
-
Smallest possible positive number = _____________________
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