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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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