Table of Contents
Why is a number divided by 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. r*0=a. (1) But r*0=0 for all numbers r, and so unless a=0 there is no solution of equation (1).
What makes an answer undefined?
How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can’t divide by zero in math, so we end up with an expression that we can’t solve.
Does 1 0 have a value?
Answer: 1/0 is an undefined number.
Is 1 0 an irrational number explain?
A number is rational if it can be expressed in the form p/q, where p & q are integers & q is NOT 0. 1/0 is not rational as the denominator (q) is zero. 1/0 is also not an irrational number, as anything 0 in the denominator is undefined.
Why is dividing by 0 undefined instead of Infinity?
As we cannot guess the exact number, we consider it as a length of a number or infinity. In normal cases, the value of something divided by 0 has not been set yet , so it’s undefined.
Why is any number divided by 0 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 does any number with 0 power equals 1?
On one hand, any other number to the power of 0 is 1 (that’s the Zero Exponent Property ). On the other hand, 0 to the power of anything else is 0 , because no matter how many times you multiply nothing by nothing, you still have nothing. Let’s use one of the other properties of exponents to solve the dilemma: