Simple Tricky Math Question: Does 0.999... equal to 1?
Does 0.999... = 1?
Yes it does and here's why!
This is a simple, yet tricky math question!
At first glance this does not seem to be the case since both numbers look different.
However …
Simple Tricky Math Question: Does 0.999... equal to 1?
Does 0.999... = 1?
Yes it does and here's why!
This is a simple, yet tricky math question!
At first glance this does not seem to be the case since both numbers look different.
However you have to think about the 3 dots in the "0.999..." number. This signifies an infinite amount of 9's that comes after the decimal point.
Here's a really simple proof:
We know that 1/3 = 0.333... right?
Now let's multiply both sides by 3 and we therefore get:
1 = 0.999...
The reason why this might be hard to accept is that we are just not used to wrapping our minds around something that is unimaginable such as an infinite amount of anything.
Another way of looking at it would be the more 9's that come after the decimal, the closer it is to 1. So an infinite amount of 9's 0.999... will finally reach 1.
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