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?
:
Moving the decimal place four places to the right, is the same as multiplying by 10000
:
let n = "a certain positive number"
:
10000n = 9*{{{1/n}}}
10000n = {{{9/n}}}
multiply both side by n
10000n^2 = 9
Divide both sides by 10000
n^2 = {{{9/10000}}}
n = {{{sqrt(9/10000)}}}
n = {{{3/100}}} or .03 in decimal form