Thursday, May 1, 2025

Four Types of Multiplication Methods

Four Types of Multiplication Methods 1. Array Model Example: 3 × 4 = 12 Visualize multiplication as rows and columns 3 rows 4 columns 3 × 4 = 12 total objects 2. Area Model Example: 24 × 31 = 744 Multiply using rectangular areas 20 × 30 = 600 4 × 30 = 120 20 × 1 = 20 4 × 1 = 4 30 1 20 4 3. Partial Products Example: 24 × 31 = 744 Break down by place value, then add 24 × 31 = ? 24 × 1 = 24 24 × 30 = 720 24 × 31 = 744 Alternative view: (20 × 30) = 600 (20 × 1) = 20 (4 × 30) = 120 (4 × 1) = 4 Total = 744 4. Standard Algorithm Example: 24 × 31 = 744 Traditional vertical multiplication 24 × 31 24 (24×1) 720 (24×30) 744 ² break Lattice Multiplication Method A visual method for multiplication that breaks calculation into manageable steps using a grid Example: 34 × 27 = 918 Step 1: Create the lattice grid 3 4 2 7 Step 2: Fill in each cell with multiplication results 3 4 2 7 0 6 0 8 2 1 2 8 Step 3: Add along diagonals 3 4 2 7 0 6 0 8 2 1 2 8 8 1+6+2=9 0+2=2 0 Step 4: Read the final answer 918 How to perform lattice multiplication: 1. Create a grid with diagonally divided cells, one for each digit being multiplied 2. In each cell, write the product of the corresponding digits (tens above, ones below diagonal) 3. Add the numbers along each diagonal, carrying over when necessary
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