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Undefined: You cannot divide by zero

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Alexandra Russel

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3y ago
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6y ago

0 ÷ 0 is NOT infinity; it is indeterminant.

0 ÷ 0 is any and every value; it is a basis of calculus:

Consider a curve y = some function of x (ie y = f(x), eg y = x²)

Draw a chord on that curve from some value of x to another value of x a little way to its right, ie draw the chord between the two y values at x and x+h where h is a small value.

The slope of this chord is given by change_in_y/change_in_x = (f(x+h)-f(x))/((x+h)-x) = (f(x+h)-f(x))/h

As h gets smaller and smaller, the chord tends towards the tangent of the curve at that x value

and so the slope of the chord tends towards the slope of the tangent at that x value

As h tends towards 0, the value of the slope tends towards some value which is different for different values of x. For y=x² at x=0, the tangent has a slope of 0, but at x=1 the tangent has a slope of 2.

At the limit when h=0, the slope of the chord is the slope of the tangent, but when h=0, the slope is (f(x+0)-f(x))/0 = (f(x)-f(x))/0 = 0/0

Thus 0/0 is both 0 and 2 when considering the slopes of tangents to y=x² at x=0 and x=1.

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6y ago

0 divided by 0 is not infinity: it is not defined.

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Q: Why does 0 divided by 0 equal infinity?
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Related questions

What is zero divided by 3?

Any number (apart from 0) divided by 0 is equal to infinity.


Is infinity divided by infinity equal 1?

Firstly we don't know infinity value. If you divide any number by infinity then answer will be zero. Example is divide 100/3 by infinity ( let infinity is equal to 1/0). Then answer is 100/3/1/0 you will get zero.


What is infinity divided by 5?

Infinity divided by any finite number is infinity. Here are the rules: 1. Infinity divided by a finite number is infinite (I / f = I); 2. Any finite number divided by infinity is a number infinitesimally larger than, but never equal to, zero (f / I = 1 / I); 3. Infinity divided by infinity is one (I / I = 1), or in fact any other positive number (I / I = and so on...); 4. Infinity multiplied by zero (no infinity) is zero (I * 0 = 0); 5. Infinity divided by a positive finite number is infinity (I / +f = I); 6. Infinity divided by a negative finite number is minus infinity (I / -f = -I); 7. Infinity divided by zero is not possible; 8. Infinity plus infinity is infinity (I + I = I); 9. Zero divided by infinity (nothing divided into infinity) equals zero (0 / I = 0); 10. Infinity plus a finite number is infinity (I + f = I); 11. Infinity minus a finite number is infinity (I - f = I); but 12. Infinity minus infinity, due to the nature of infinity, can be zero, infinity, or minus infinity (I - I = -I, 0, I).


What is infinity is divided by infinity?

1To touch on this whatever you take and divide by the same number will always give you one.2Infinity divided by infinity is not equal to 1, But it is undefined, not another infinity. This would help you:First, I am going to define this axiom (assumption) that infinity divided by infinity is equal to one:∞-∞= 1Since ∞ = ∞ + ∞, then we are going to substitute the first infinity in our axiom:∞ + ∞---∞= 1The next step is to split this fraction into two fractions:∞-∞+ ∞-∞= 1Next, substitute the axiom twice into the equation, we get:1 + 1 = 1Finally, this can be rewritten as:2 = 1Therefore, infinity divided by infinity is NOT equal to one. Instead we can get any real number to equal to one when we assume infinity divided by infinity is equal to one, so infinity divided by infinity is undefined.


What is the answer of 1 divided by infinity?

Firstly we don't know infinity value. If you divide any number by infinity then answer will be zero. Example is divide 100/3 by infinity ( let infinity is equal to 1/0). Then answer is 100/3/1/0 you will get zero.


What is the value when 0 divided by infinity?

answer is 0


How can one divided by zero be infinity because if something remains undivided it will still be there?

the question is correct as per me because this is wat is known"1/0=infinity" then" 1=0xinfinity" " 0x(anything or infinity) =0" there fore "1 =0" which is not true since 1/0 is not equal to infinity the value of 1/0 is undefined


One divided by 0 equals infinity no?

The answers is 0.


What is divided by times plus times times divided by plus times 100?

Interesting. Assuming "times" is a variable: You're question is what is 0/times + times * (0/+0*100) That would be 0 + times * (0/0) 0/0 = infinity(Anything over 0 = infinity) So then, you can figure out that it is times * infinity which is infinity.


What does the fraction 5 over 0 become?

Infinity... 5 over 0 will be represented as 5/0 Any number divided by 0 results in infinity


What does 0 over 8 equal?

infinity! (and beyond)


Does a negative infinity times any number equals zero?

0 is the only number times infinity equal to 0