Decimals = integers?

Algebra Level 1

Is it true that 1 = 0.99999 ⋯ 1 = 0.99999 \cdots ?

Yes, it is true No, it is false

. . by . . , 14, South Korea

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2 solutions

Roger Erisman
Jan 8, 2021

Let x = 0.999...

Then 10x = 9.999...

10x - x = 9.999... - 0.999...

9x = 9

x = 1

Therefore 1 = 0.999...

2 Helpful 0 Interesting 2 Brilliant 0 Confused
. .
Jan 3, 2021

1 = 1 3 × 3 = 0.33333 ⋯ × 3 = 0.99999 ⋯ . \displaystyle 1 = \frac { 1 } { 3 } \times 3 = 0.33333 \cdots \times 3 = 0.99999 \cdots.

2 Helpful 0 Interesting 2 Brilliant 0 Confused

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