🧠 Sharing a Square Calculation Trick! No need for long division!

Hi everyone! I'm a middle school student and I've discovered a method for calculating squares mentally. I'd like to share it with you all, hoping it makes calculations simpler. 1. Squares of 11-19 - Square the units digit and place it in the units place of the answer. - Multiply the units digit by 2 and place it in the tens place of the answer. - Multiply the tens digit (which is 1) by 1 and place it in the hundreds place of the answer. Example: 12² = 144 - Units digit: 2² = 4 - Tens digit: 2 × 2 = 4 - Hundreds digit: 1 × 1 = 1 Combining them gives 144! 2. Squares of 21-29 - Square the units digit and place it in the units place of the answer. - Multiply the units digit by 4 and place it in the tens place of the answer. - Multiply the tens digit (which is 2) by 2 and place it in the hundreds place of the answer. Example: 22² = 484 - Units digit: 2² = 4 - Tens digit: 2 × 4 = 8 - Hundreds digit: 2 × 2 = 4 Combining them gives 484! 3. How does this pattern change? - 11-19: Multiply units digit by 2, multiply tens digit by 1. - 21-29: Multiply units digit by 4, multiply tens digit by 2. - 31-39: Multiply units digit by 6, multiply tens digit by 3. - 41-49: Multiply units digit by 8, multiply tens digit by 4. The number multiplied by the units digit increases by 2 each time, and the number multiplied by the tens digit increases by 1 each time. The units digit is always squared. Reminder: The above is a preliminary organization of the pattern; remember to carry over when needed~ Hope we can all research this together!