This page follows the partial products method on the large bead frame. The problem and the answers go on the left side of the bead frame paper, and the working out goes on the right side. Each piece of the top number is multiplied by the units digit of the bottom number, then by the tens digit, and so on. The frame is cleared between digits, each partial product is written on the left, and the partial products are added at the end.

Some teachers have children leave the beads on the frame and keep going instead, so the frame shows the final product at the end without a separate addition. Both ways give the same answer; if a child's teacher uses that version, the child can skip the clearing.

The colors follow the Montessori hierarchy: green for units, blue for tens, red for hundreds, and the same pattern again for thousands and millions. On the large bead frame the units wire is at the top, and beads slide from left to right to be counted. When a wire reaches 10 beads, they slide back and 1 bead moves on the next wire, which is the same idea as regrouping in the short way.

Sources used for this page:

• Montessori Commons: Long Multiplication
• Guidepost Montessori: Large Bead Frame
• Owl Tree Montessori: The Montessori Bead Frames for Lower Elementary