Interesting Things- Does 0.99999 is Really Equal to 1
Does 0.999 (repeated) equal “one”? You might be surprised by the answer… which is “yes”. I heard this on a couple of podcasts over the last few months, and I still find it hard to accept at face value. However, I am now convinced and here’s several simple proofs that .99999 does indeed equal 1…
Method 1:
Let x = 0.9999…
Then 10x = 9.9999…
If we then subtract x from both sides of the equation, then:
10x – x = 9.9999… – 0.9999…
So, 9x = 9
Divide both sides of the equation by 9, and…
x = 1 … which, when we started, we said = 0.9999…
Method 2:
1/9 = 0.11111…
Multiply both sides of the equation by 9:
9 X 1/9 = 9 X 0.11111…
1 = 0.99999…