MathDB
Relative Errors

Source:

February 1, 2009

Problem Statement

An error of .02 .02'' is made in the measurement of a line 10 10'' long, while an error of only .2 .2'' is made in a measurement of a line 100 100'' long. In comparison with the relative error of the first measurement, the relative error of the second measurement is: <spanclass=latexbold>(A)</span> greater by .18<spanclass=latexbold>(B)</span> the same<spanclass=latexbold>(C)</span> less <span class='latex-bold'>(A)</span>\ \text{greater by }.18 \qquad<span class='latex-bold'>(B)</span>\ \text{the same} \qquad<span class='latex-bold'>(C)</span>\ \text{less} <spanclass=latexbold>(D)</span> 10 times as great<spanclass=latexbold>(E)</span> correctly described by both (A) and (D) <span class='latex-bold'>(D)</span>\ 10 \text{ times as great} \qquad<span class='latex-bold'>(E)</span>\ \text{correctly described by both (A) and (D)}