What Does Undefined Mean In Math Examples

The most famous example is that division by zero is undefined.

What does undefined mean in math examples.

A good real life example of undefined slope is an elevator since an elevator can only move straight up or straight down. For example in the equation ax by c the relation between x and y is indeterminate because you can t determine it without knowing the values of a b and c. For example division by zero is undefined in the field of real numbers. An expression in mathematics which does not have meaning and so which is not assigned an interpretation.

Mathematically undefined can be defined as an expression which is impossible or an expression which does not have an exact definition or an expression that cannot be interpreted. Undefined is a term used when a mathematical result has no meaning. Recall that 6 2 equal 3 because 3 2 6 however it is impossible to do 5 0 because there exist no number you can multiply 0 by to get 5. 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.

Undefined means there is no answer to the expression at that point. For example in the real number system is undefined for negative. For instance during the time when the negative numbers were not yet invented the numerical expression 5 8 has no meaning. It got its name undefined from the fact that it is impossible to divide by zero.

The term can take on several different meanings depending on the context. More precisely undefined values occur when an expression is evaluated for input values outside of its domain. For example square root of a negative number was undefined. Ambiguous complex infinity directed infinity division by zero ill defined indeterminate well defined.

In algebra a function is said to be undefined at points not in its domain. In plain language it means something which has no sensible meaning. What does undefined mean. In our time we can say that 5 8 is undefined in the set of positive integers.

However something that is undefined today may be given a definition in the future. In arithmetic some arithmetic operations are called undefined.