# What Is a Partial Product in Fourth Grade Math? In recent years, fourth-grade curricula have begun to expand on traditional methods of addition, subtraction, multiplication and division to give students a wide range of techniques. One such technique is the partial product method used for multiplication.

## Finding Partial Products

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.) For instance, 23 x 42 would become (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).

You add partial products together to get a final answer for the multiplication problem. For instance, 800 + 40 + 120 + 6 would give you a total product of 966.

## Benefits

Using the partial product method in fourth grade lets students visualize the manipulation of factors which helps them prepare for learning algebraic properties. Furthermore, it gives them a method that is easier to do in their head because partial sums usually end in zeros or are single-digit numbers.