Imagine trying to divide a set of books among zero people! That doesn’t even make sense….does it? This activity takes this idea one step further, using the relationship between multiplication and division to demonstrate why division by zero does not work.
As students work with rational numbers in this activity, they come to understand that when division of integers is represented with a fraction bar, the signs on the integers determine the overall sign of the fraction (that is, the sign of the quotient). Many different representations for division of rational numbers are presented in this activity. And as a culmination, students get a chance to interpret quotients of rational numbers in real world situations.