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prealgebra intermediate

Problem

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?
(A)
(B)
(C)
(D)
Solution
If is the number, then moving the decimal point four places to the right is the same as multiplying by . This gives us: Since
Final answer
C