Lattice multiplication

Learning Objectives Construct a lattice grid appropriate for multiplying two multi-digit numbers. Accurately multiply single digits and place their products within the lattice squares. Correctly sum the numbers along the diagonals of the lattice grid. Apply carrying over techniques when summing diagonals results in a two-digit number. Determine the final product of two multi-digit numbers using the lattice method. Explain the steps of lattice multiplication to a peer. Ever wished there was a super cool, visual way to multiply big numbers without getting lost in rows of digits? 🤩 Get ready to discover a method that's like a secret shortcut! In this lesson, you'll learn lattice multiplication, an ancient and fun technique that breaks down complex multiplication pro...

TermDefinitionExample LatticeA grid of squares used in lattice multiplication, where each square is divided by a diagonal line.A 2x3 lattice grid is used for multiplying a 2-digit number by a 3-digit number. DiagonalA line segment connecting opposite corners of a square. In lattice multiplication, these lines help separate place values for summing.The diagonal line in each square separates the tens digit from the units digit of a partial product. Partial ProductThe result of multiplying two single digits (one from each factor) within a single square of the lattice.When multiplying 3 by 4, the partial product is 12, with 1 in the top triangle and 2 in the bottom triangle. Carry-overWhen the sum of digits in a diagonal is 10 or greater, the tens digit is carried over and added to the next d...

Lattice Grid Construction For multiplying an $m$-digit number by an $n$-digit number, construct a grid with $m$ rows and $n$ columns. This rule establishes the correct size of your lattice grid. For instance, multiplying a 2-digit number by a 3-digit number requires a 2-row by 3-column grid. Digit Placement and Diagonal Division Write one factor across the top of the grid and the other factor down the right side. Divide each square in the grid with a diagonal line from the top-right corner to the bottom-left corner. This step organizes your factors and prepares each square to hold the tens and units digits of the partial products. Partial Product Calculation and Placement Multiply the digit above each column by the digit to the right of each row. Place the tens digit o...