Multiple choice general knowledge math & puzzles

Compare the numbers 0.99999... (infinitely many 9s) and 1. Which of the following sentences is true?

  1. 0.99999... is less than 1

  2. 0.99999... is greater than 1

  3. 0.99999... is equal to 1

  4. Cannot be determined

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Mathematically, 0.99999... with infinitely many 9s equals exactly 1. Let x = 0.99999... Then 10x = 9.99999... Subtracting: 10x - x = 9.99999... - 0.99999... which gives 9x = 9, so x = 1. This is a well-established result in mathematics.