MathDB
Reciprocal Algebra

Source:

January 7, 2007

Problem Statement

When the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. What is the original number? <spanclass=latexbold>(A)</span>0.0002<spanclass=latexbold>(B)</span>0.002<spanclass=latexbold>(C)</span>0.02<spanclass=latexbold>(D)</span>0.2<spanclass=latexbold>(E)</span>2 <span class='latex-bold'>(A) </span>0.0002\qquad<span class='latex-bold'>(B) </span>0.002\qquad<span class='latex-bold'>(C) </span>0.02\qquad<span class='latex-bold'>(D) </span>0.2\qquad<span class='latex-bold'>(E) </span>2