×

# An interesting thing everyone must know..

$$0.99999....=1$$! Why? It was proven in many methods, even though its logically unequal. Try the basic one, the same method as making infinitesimals to fraction. Assuming $$x=0.9999...$$. Then $$10x=9.9999...$$. Subtracting: $10x-x=9.9999...-0.9999...$ $9x=9$ $x=1$ Even though we clearly declare x as 0.999..., The end result is one.

Note by Ivander Jonathan
1 year, 12 months ago

Sort by:

This is very interesting, but I don't sure how does it.!! · 1 year, 11 months ago

We also know that $$\frac{1}{3} = 0.33333...$$. Multiplying both sides by $$3$$ gives: $$\frac{3}{3} = 0.99999...$$, or $$1=0.99999...$$. · 1 year, 8 months ago