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The recurring decimal 0.999… (the digit 9 repeating for ever) is exactly equal to:

Competition practiceNumber & Arithmetic
  • A0.99
  • B1
  • C9/10
  • Da number just a little less than 1

Step-by-Step Solution

Let …. Then … and subtracting gives , so . Another way: 1/3 = 0.333…, and multiplying both sides by 3 gives 1 = 0.999…. The two decimals are different names for the same number, not two nearby numbers.
Answer: B) 1

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