Table of Contents
Why is a 0 undefined?
The reason that the result of a division by zero is undefined is the fact that any attempt at a definition leads to a contradiction. a=r*b. r*0=a. (1) But r*0=0 for all numbers r, and so unless a=0 there is no solution of equation (1).
Is 0 divided by undefined?
Answer: 0 divided by 0 is undefined. Any fraction when has a zero in the numerator will give a decimal value of zero only. Any fraction with zero in the denominator will have an infinite value of its decimal form.
Is 0 rational or whole?
rational
This rational expression proves that 0 is a rational number because any number can be divided by 0 and equal 0. Fraction r/s shows that when 0 is divided by a whole number, it results in infinity. Infinity is not an integer because it cannot be expressed in fraction form.
What is the undefined meaning?
not defined
Definition of undefined : not defined: such as. a : not clearly or precisely shown, described, or limited undefined rules undefined powers a vague, undefined feeling of dread …
Is 0 defined?
0 is the integer immediately preceding 1. Zero is an even number because it is divisible by 2 with no remainder. 0 is neither positive nor negative, or both positive and negative. Many definitions include 0 as a natural number, in which case it is the only natural number that is not positive.
Is 0 rational or irrational?
rational number
Yes, 0 is a rational number. Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to zero. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.
Which type of NO is zero?
Zero is neither positive nor negative and thus it is considered a neutral number. Mathematicians agree zero is a counting number, a whole number, and an integer.
Why is 5 divided by 0 undefined?
If you divide 10 by 2 the answer is 5 because 5 times 2 IS 10. If you divide 5 by zero, then you are asking the question, “What number times zero gives 5?” The answer to that one, of course, is no number, for we know that zero times any real number is zero not 5. So we say that division by zero is undefined, for it is not consistent with division by other numbers.
Why is dividing by 0 undefined instead of Infinity?
Undefined, because +0 = -0, so the result would be both infinity and minus infinity. But in a setting (as is usually done with complex numbers) where plus and minus infinity coincide, a number divided by 0 would be this infinity.
Is over 0 or under 0 undefined?
There is no number that you can multiply by 0 to get a non-zero number. 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…” Posted 9 years ago.
Is a number over zero undefined?
We can say, zero over zero equals x. We still have zero times x equals zero. We can say that zero over zero equals “undefined.” And of course, last but not least, that we’re a lot of times faced with, is 1 divided by zero, which is still undefined.