. Grade 5, Illustrative icon

Connor and Makayla Discuss Multiplication

Illustrative MathematicsVaries

The purpose of this task is to have students think about the meaning of multiplying a whole number by a fraction, and compare this meaning to their previous understanding of multiplying a fraction by a whole number in order to see an instance of the commutative property of multiplication in the case of fractions. Although the representations used in this task can be used to see the fact that 3 × 2/3 = 2/3 × 3, it is not easy to use them to explain why the fact is true, or to see that multiplication is commutative for other numbers.

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