Why 10/9 = 1.111… ; 9×1.111… = 9.999… ; but 9×10/9 = 10. Why is 10 equal to 9.999…?

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Why 10/9 = 1.111… ; 9×1.111… = 9.999… ; but 9×10/9 = 10. Why is 10 equal to 9.999…?

In: Mathematics

9 Answers

Anonymous 0 Comments

Because 9.99… = 10. There’s a proof for it, but instead, here’s a better ELI5:

10 / 9 = 1 and 1/9th.

9 * 10/9 = 9 * 1 and 1/9th = 9 and 9/9ths = 10

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