What does it mean when a number is undefined?
Table of Contents
- 1 What does it mean when a number is undefined?
- 2 What can actually be divided by zero philosophy?
- 3 Is zero divided by a number undefined?
- 4 How do you divide 2?
- 5 Who introduced the zero to the Arabic number system?
- 6 Is math analysis harder than precalculus?
- 7 Is the division of 0/0 valid or not?
- 8 What is the meaning of the expression division by zero?
What does it mean when a number is undefined?
Broadly speaking, undefined means there is no possible value (or there are infinite possible values), while indeterminate means there is no value given the current information.
What can actually be divided by zero philosophy?
By dividing to Zero, we reject the single plan of any Creator (not important). Nothing has arisen from where nothing will go nowhere. Do not divide by Zero!…And in fact, if we have any two numbers, X and Y, and we can divide by zero:
- 0 = 0.
- 0 * x = 0 * y.
- divide by 0, and in the end we get a = b.
What is the history of the development of our Hindu Arabic symbol 0 for zero?
Hindu-Arabic numerals, set of 10 symbols—1, 2, 3, 4, 5, 6, 7, 8, 9, 0—that represent numbers in the decimal number system. They originated in India in the 6th or 7th century and were introduced to Europe through the writings of Middle Eastern mathematicians, especially al-Khwarizmi and al-Kindi, about the 12th century.
Why is a divided by zero undefined?
As much as we would like to have an answer for “what’s 1 divided by 0?” it’s sadly impossible to have an answer. The reason, in short, is that whatever we may answer, we will then have to agree that that answer times 0 equals to 1, and that cannot be true, because anything times 0 is 0. Created by Sal Khan.
Is zero divided by a number undefined?
So zero divided by zero is undefined. Just say that it equals “undefined.” In summary with all of this, we can say that zero over 1 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.
How do you divide 2?
To divide a number by 2 using repeated subtraction, subtract 2 from it over and over again, till you reach 0. The number of times you subtract is the answer to the division problem.
Will dividing by zero ever be defined?
Originally Answered: Could division by zero ever be defined? If division by Zero ever gets defined, most of the mathematical proofs will have to be redefined. So mathematicians will not want to tinker with the existing solution ie. Division by zero is undefined.
Is zero invented or discovered?
The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.
Who introduced the zero to the Arabic number system?
The number zero as we know it arrived in the West circa 1200, most famously delivered by Italian mathematician Fibonacci (aka Leonardo of Pisa), who brought it, along with the rest of the Arabic numerals, back from his travels to north Africa.
Is math analysis harder than precalculus?
Precalculus, which is a combination of trigonometry and math analysis, bridges the gap to calculus, but it can feel like a potpourri of concepts at times. Now, most students agree that math analysis is “easier” than trigonometry, simply because it’s familiar (i.e., it’s very similar to algebra).
Why is the division by zero undefined?
The reason division by zero is undefined is that if we had some definite real number x s.t. a / 0 = x ⟹ a = 0 ⋅ x = 0 , rendering a = 0 …but then any real number x works! As we want functions to be single-valued (here, within this basic context.
What happens if you divide by zero in code?
Division by zero generates an exception on most computing platforms such that it can potentially crash software. As such, division by zero is often handled as a special case in code. Not handling division by zero in some intelligent way is a common type of bug.
Is the division of 0/0 valid or not?
Oops, that also works. and so does 0/0 = 2 and 0/0 = 6 and 0/0 = any real number. This is where it breaks down. Because there are so many (in fact, an infinite number) of ways that this division could be converted into a valid multiplication, we can conclude that this division isn’t valid or indeterminate, to use the correct terminology).
What is the meaning of the expression division by zero?
In ordinary arithmetic, the expression has no meaning, as there is no number which, when 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