why is 0 is equal to 1?
9330
Simple “Proof” Why Zero Factorial is Equal to One For the equation to be true, we must force the value of zero factorial to equal 1, and no other. ... So yes, 0! = 1 is correct because mathematicians agreed to define it that way (nothing more and nothing less) in order to be consistent with the rest of mathematics.
477886
Zero is an even number. In other words, its parity—the quality of an integer being even or odd—is even. This can be easily verified based on the definition of "even": it is an integer multiple of 2, specifically 0 × 2.
1344943
With the three bar equal sign, f(x) has been defined as zero and it will always be zero. Originally Answered: What is the difference between f(x) ≡0 and f(x) =0? The first symbol means that f(x) is the zero function. The second means there is at least one value of x whereby f maps x to 0.
1084330
[' Zero is even (not odd, not neutral)', ' Zero is neither positive nor negative (the only number with this property)', ' Zero is an integer (and must be considered when question limits choices to integers)', ' Zero is a multiple of all numbers (x*0 = 0, so a multiple of any x)']
758174
Zero does not have a positive or negative value. However, zero is considered a whole number, which in turn makes it an integer, but not necessarily a natural number. ... They have to be positive, whole numbers. Zero is not positive or negative.
751698
When we take the absolute value of a number, we always end up with a positive number (or zero). Whether the input was positive or negative (or zero), the output is always positive (or zero). For instance, | 3 | = 3, and | –3 | = 3 also.
962185
There is NO solution, so any non-zero number divided by 0 is undefined. Comment on CarlBiologist's post “Infinity is not a real number, and even if it were...”
1451137
When zero is divided by any number or infinity then answer is zero. However, when any number be it infinity when divided by zero will give answer as infinity. So, 0/n = 0 and n/0= infinite. ... it is zero.
335347
In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
19803
So if 0 = 1, then (as you proved) all real numbers equal 0, so there are no positive real numbers. So if you can prove that not all numbers are equal, then it's a valid proof.
797695
and zero is an integer constant. So basically NULL is 0 in pointer terms. In SQL databases this difference is very important. NULL in SQL basically means that the value is 'undefined' whereas 0 is a defined value.
745714
Since you cannot divide by zero, the result is undefined. So 1/0 is neither rational nor irrational. It is also neither real nor imaginary. This is the reason why 1/0 is undefined, it is simply not a number (note: some calculators show 1/0 as NaN which stands for Not a Number).
381358
All whole numbers are integers, so s...” That's right! All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.
867469
Just because no one hasn't found a case where 1+1 is not equal to 2 does not mean it is always equal to 2, because it has not been tried infinitely. “1” is an abstract concept. There is no actual physical thing as a 1. I would argue that conceptually if you say that 1+1=2, then yes it is True.
1149976
The rule is that any number raised to the power of 0 equals to 1. So if 2 or 1,000,000 is raised to the power of 0 it equals 1. Comment on Shareena Jeon's post “The circle above is the exponent.
776887
Counting backwards does not lead one into negative numbers and it is a mistake to be thinking this way. It makes no difference if a number has a - sign in front of it ,the number is and can only be positive so -1 (1) is greater than 0 .
1002446
Zero is a multiple of every number, though, again, a multiple that's not terribly informative. In particular, 0 is an even number, because it is a multiple of 2. ... The number 12 is a "multiple of 4" or a "multiple of 6" but not just "a multiple." (It is not, for example, "a multiple" of 5.)