SOLUTION: 1. When the decimal of a certain positive number is moved four places to the right, the new number is 9 times the reciprocal of the original number. What is the original number?
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Question 665349: 1. When the decimal of a certain positive number is moved four places to the right, the new number is 9 times the reciprocal of the original number. What is the original number? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 1. When the decimal of a certain positive number is moved four places to the right, the new number is 9 times the reciprocal of the original number. What is the original number?
:
Moving the decimal place four places to the right, is the same as multiplying by 10000
:
let n = "a certain positive number"
:
10000n = 9*
10000n =
multiply both side by n
10000n^2 = 9
Divide both sides by 10000
n^2 =
n =
n = or .03 in decimal form
