•When students have completed this activity, they may consider the formal reason for ruling out division by zero of any nonzero number and for ruling out division
by zero of zero, which are very different from each other. The reason in both cases is that division by zero cannot be well defined. Division of a nonzero number by zero is undefined because there is no solution to the equation a.0 = b if b is not zero. If b is zero, there are infinitely many solutions to a.0 = b and division by zero cannot be uniquely defined, which is the same as saying that it is not well defined
See Also
See also Activities 2,3,7,15,and 26.
•When students have completed this activity, they may consider the formal reason for ruling out division by zero of any nonzero number and for ruling out division by zero of zero, which are very different from each other. The reason in both cases is that division by zero cannot be well defined. Division of a nonzero number by zero is undefined because there is no solution to the equation a.0 = b if b is not zero. If b is zero, there are infinitely many solutions to a.0 = b and division by zero cannot be uniquely defined, which is the same as saying that it is not well definedSee AlsoSee also Activities 2,3,7,15,and 26.
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