Teaching Explanation

Imagine a "bow-tie" shape drawn over your numbers. We solve the multiplication in three steps from right to left:

1. Right Side: Multiply the digits in the ones place vertically.
2. The Cross: Multiply the top-left by bottom-right and top-right by bottom-left, then add these two results together. This is the middle part of your answer.
3. Left Side: Multiply the digits in the tens place vertically.

If any step gives a number 10 or larger, we write down the last digit and "carry" the tens digit to the next step on the left.

Method Condition

Best suited for 2-digit by 2-digit multiplication where digits are small, though it works for all 2-digit numbers.

Standard Fallback

Standard long multiplication (column method).

Misconception & Correction

Misconception: Adding the carry to the digits before* multiplying in the next step.

• Correction: Always multiply the vertical or cross digits first, then add the carry to that product.