Lattice Multiplication
Learn lattice multiplication method. Visual grid-based multiplication technique.
Enter Numbers
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Try:
How to Use
- Enter the first number (multiplicand)
- Enter the second number (multiplier)
- Click "Calculate" to see the lattice grid
- Follow the visual grid to understand the multiplication
What is Lattice Multiplication?
Lattice multiplication (also called grid or box multiplication) is a visual method for multiplying large numbers. It uses a grid where each cell is divided diagonally, making it easier to keep track of place values and carry operations.
Formula
Lattice Method Steps:
1. Draw a grid with diagonals in each cell
2. Write digits across top and down the right side
3. Multiply each pair, put tens above diagonal, ones below
4. Add along diagonals from bottom-right to top-left
5. Read answer from top-left to bottom-right
Examples
- 23 × 45 = 1035 (2×2 grid)
- 123 × 45 = 5535 (3×2 grid)
- 56 × 78 = 4368 (2×2 grid)
FAQ
Why use lattice multiplication?
Lattice multiplication organizes the work visually, reduces errors with carrying, and helps students understand place value. Many find it easier than traditional long multiplication.
Who invented lattice multiplication?
Lattice multiplication dates back to ancient India and was later used by Arab mathematicians. It was introduced to Europe by Fibonacci in the 13th century.
Can I use this for decimal numbers?
Yes! Ignore decimals during multiplication, then count total decimal places in both numbers and place the decimal point in the answer accordingly.