A whole number?
Number Theory
Level
2
Is this statement always true, sometimes true, or always false.
X.99.... = X.9 rounded to the nearest whole number
Note:
X has to be a non-decimal number
Always True
Always False
Sometimes True
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
There are two possible ways to solve this problem, using arithmetic or using fractions. 1. x+1 - x.99 = 0.000........1
Example :What is 1 - 0.99....? The answer would be 0.(Infinite zeros)1, but there is no such number so the closest answer would be 0.
2. 3 1 = 0.33...... 3 2 = 0.33... * 2 = 0.66.... 3 3 = 0.33... * 3 = 0.99....
But we also now that when the numerator and denominator of a fraction are the same value the answer is 1, but 3 3 is also equal to 0.99... because 3 3 = 3 1 * 3