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Understanding Lattice Multiplication Method

Apr 30, 2025

Lattice Multiplication

Introduction

  • Topic: Lattice multiplication method.
  • Example Problem: Calculate 25 * 13.*

Steps for Lattice Multiplication

Setting up the Grid

  1. Determine Digits

    • First Number (25): 2 digits.
    • Second Number (13): 2 digits.
  2. Create a Grid

    • Form a rectangle with space for two columns and two rows.
  3. Labeling

    • Top: Write 25.
    • Side: Write 13.
    • Ensure numbers match with columns and rows.

Drawing the Lattice

  • Split each box diagonally.

Solving the Multiplication

Multiplication Step

  1. Multiply each digit of the top number by each digit of the side number, filling in the lattice:
    • 5 * 1 = 5 (write 05)
    • 5 * 3 = 15 (write 15)
    • 2 * 1 = 2 (write 02)
    • 2 * 3 = 6 (write 06)

Addition Step

  • Add numbers diagonally:
    • Bottom right: 5.
    • Next diagonal: 5 + 1 + 6 = 12 (write 2, carry 1).
    • Next diagonal: 1 + 2 = 3.
    • Top left: 0 (no need to write).

Final Answer

  • The result is 325.

Conclusion

  • Lattice multiplication provides a structured method for solving multiplication problems.
  • Example demonstrated: 25 * 13 = 325.*

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