Task# How Many Tenths and Hundredths?

Illustrative MathematicsVaries

Parts (a) and (b) have the same solution, which emphasizes that the order in which we add doesn't matter (because addition is commutative), while parts (c) and (d) emphasize that the position of a digit in a decimal number is critical. The student must really think to encode the quantity in positional notation. In parts (e), (f), and (g), the base-ten units in 14 hundredths are bundled in different ways. In part (e), 'hundredths' are thought of as units: 14 things = 10 things + 4 things.