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  3. When the decimal point of a certain positive decimal number is moved six places to the right, the resulting number is 9 times th

When the decimal point of a certain positive decimal number is moved six places to the right, the resulting number is 9 times th

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问题 When the decimal point of a certain positive decimal number is moved six places to the right, the resulting number is 9 times the reciprocal of the original number. What is the original number?
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答案0.003
解析 Moving the decimal point of a positive decimal number, n, six places to the right is equivalent to multiplying n by 106. In the question, you are given that the result of such a change is 9 times the reciprocal of the original number, or 9.Therefore n(106)= 9. You can solve this equation for n as follows.

n = 0.003
The correct answer is 0.003.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 5: Simplify an Arithmetic or Algebraic Representation
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