Any non-zero number divided by zero is infinity (positive or negative), but your calculator may give an error. Try it with a very small number such as 0.000001, as you make it smaller the result will become larger. The reason is that for a given number, you can put 0 into it as many times as you want - an infinite amount.
However, this will give us many problems with division. For any other number, division has very useful properties. If we have some unknown number called 'x', and we have an equation that says: x/3 = 5/3, then we can deduce that x=5. Another example: x/4 = 7/4. We can deduce that x=7. But when we allow division by zero, this property is lost: 3/0 = infinity = 4/0, but 3 is not equal to 4. We also lose many other useful properties if we allow division by zero. However, we do almost allow division by zero. This is done by taking what is known as a limit as the divisor, x, tends to zero (we write x→0), and this is an integral part of calculus.
0/0 is a special case of division by zero. Notice that for any non-zero number, let's call it 'y', we get y/y = 1. But we say that 0/0 is undefined, or indeterminate. We can still take limits when something looks like it might be equal to 0/0. For example, the limit of sine(x)/x as x→0. We know that sine(x) = 0 when x=0, but it can be proven that sine(x)/x →1 as x→0. But we can also prove that x2/x → 0 as x→0. So the result is different depending of different situations.
Zero is pretty well defined. Division by zero is undefined.
Division by zero is undefined because when the limit of 1/x is taken from the positive side of the graph it approaches infinity but when it approaches from the negative side it is negative infinity; thus, becoming an infinite discontinuity this kind of discontinuity makes it undefined. Hope this helps You learn about limits in Calculus. -Joshua Garrison
A line with an undefined slope is a vertical line. A line with a slope of zero is a horizontal line. If you use the formula for slope m = (y2-y1) divided by (x2-x1)... For an undefined slope you will get zero in the denominator, which you cannot have because you cannot divide by zero. For a slope equal to zero, you will get a zero in the numerator. Zero divided by any non-zero denominator, will give you a slope of zero.
Undefined.
false
Zero is pretty well defined. Division by zero is undefined.
Nothing, because zero cannot go into anything.
Division by zero is undefined.
Undefined: You cannot divide by zero
Undefined: You cannot divide by zero
A fraction such that the divisor (denominator) is zero is undefined. Such a division is expressed as x/0 where x is the dividend (numerator). In ordinary arithmetic, the expression has no meaning so division by zero is undefined.
Undefined: You cannot divide by zero
Undefined. Division by zero is forbidden in mathematics.
In mathematics, division by zero has an "undefined" result.
Division, of any number, by 0 is not defined.
Division by zero is undefined.
Division by naught (Zero) is undefined.