SAT Math Practice Exam

Category - Mathematics - Hard

If n is an integer and 0.0050505X10n is greater than 500, what is the least possible value of n?
  1. 3
  2. 4
  3. 5
  4. 6
Explanation
Answer: C - Visualize how to make the number 0.0050505 greater than 500 just by moving the decimal point five places to the right. Thus if you multiply this by 100000 or 105 , you get 505. Hence, n= 5.
Key takeaway: When you multiply a decimal number by 10, decimal shifts to the right by one digit. On multiplication by 100, it shifts by two digits and so on. Similarly on division by 10, the decimal shifts to the left.
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