Task# Tenths of (and So On)

Illustrative MathematicsVaries

The purpose of this task is to extend students' understanding of products of decimals by first focusing on products of unit fractions. Students should have strategies from grade 5 for finding all of the products to the hundredths that should easily extend to finding all of the products in this task. These strategies include writing the decimals as fractions and multiplying the numerators and denominators or drawing diagrams. Students might also reason that they know that a digit that is in one place is one-tenth as big as if it were the same digit one place to the left, and find the first set of products by noting that each product is one-tenth of the right-hand factor.