How to Multiply Two-Digit Numbers on the Soroban

A step-by-step explanation of multiplying two-digit numbers on the soroban using partial products and correct place placement.

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Multiplying multi-digit numbers relies on mastering the times table and placing partial products in their correct columns.

The idea

Multiply each digit of the first number by each digit of the second, place each result in its position, then add everything on the abacus.

Example: 23 × 12

  • 23 × 2 = 46 (place it in the ones and tens).
  • 23 × 10 = 230 (shift one column to the left).
  • Total: 46 + 230 = 276.

Tips

  • Master the times table up to 9×9 first.
  • Watch the place shift when moving to higher digits.

Review the basics in the multiplication lesson, then practice in the quizzes.

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