Long Multiplication
Practice long multiplication with two-digit and three-digit numbers. Drag digits into the correct columns, regroup when needed, and complete each partial product step by step.
Every new game creates fresh multiplication problems, digit tiles, and carrying patterns for extra practice.
Choose a grade level
Grade labels are a guide. Choose the multiplication type that matches the learner’s current skills.
How Does Long Multiplication Work?
Multiply digit by digit, from right to left. Start with the rightmost digit of the bottom number. Multiply it by every digit of the top number, starting on the right. Then move one digit left in the bottom number and repeat.
Write the numbers vertically, aligning the rightmost digits.
Use each bottom digit, from right to left, to multiply every top digit, also from right to left. Carry when needed.
Move each new partial product one place left, then add the rows from right to left. Carry to the next column whenever a sum is 10 or more.
Remember: Multiply each top digit separately. When you move from the 3 to the 1 in 13, the 1 means one ten, so its partial product starts one column to the left. Carry digits during both multiplication and the final addition.
4 × 3 = 12: write 2 and carry 1 above the 2. Then 2 × 3 + 1 = 7: write 7. The blue row is 72.
4 × 1 = 4: write 4 in the tens column. Then 2 × 1 = 2: write 2 in the hundreds column. The pink row is 24, shifted left.
The first partial product is 72. The second is 24, shifted left one place (240). Add from right to left: 2 + 0 = 2; 7 + 4 = 11, so write 1 and carry 1 to the hundreds column; 2 + 1 = 3. The answer is 312.