What is the answer of 0 into 1?
01 is undefined. Why some people say it’s true: Dividing by 0 is not allowed.
Can 0 equal a number?
What happens when you multiply a number by 0? Multiplying by 0 makes the product equal zero. The product of any real number and 0 is 0 .
How do you prove that 1 is greater than 0?
So, since 1 is not equal to zero, then the law of trichotomy says that either 1 > 0 or 1 < 0. Now, by the definition of multiplicative identity, 1^2 = 1*1 = 1. However, our lemma says that given any non-zero real number a, a^2 > 0. Thus, 1 > 0.
Why does zero factorial equal one?
The first reason for why zero factorial is equal to one is because this is what it the definition says it should be, which is a mathematically correct explanation if not a somewhat unsatisfying one.
Why division by Zero is undefined?
In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 is also undefined; when it is the form of a limit, it is an indeterminate form.
Is zero divided by 1 undefined?
Why some people say it’s 0: Zero divided by any number is 0. Why some people say it’s 1: A number divided by itself is 1. Why some people say it’s undefined: Dividing by zero is undefined. Only one of these explanations is valid, and choosing the other explanations can lead to serious contradictions.
Why is 0^0 =1?
There are other reasons why the definition of 0! = 1 is correct, but the reasons above are the most straightforward. The overall idea in mathematics is that when new ideas and definitions are constructed, they remain consistent with other mathematics, and this is exactly what we see in the definition of zero factorial is equal to one.