Set up problem: Set up the multiplication problem in the standard format.Write 623 above 321, with the larger number on top, and draw a line under them to prepare for multiplication.
Multiply ones place: Multiply the digit in the ones place of the bottom number (1) by each digit of the top number (623).1×3=31×2=21×6=6Write the results (3,2,6) under the line.
Multiply tens place: Multiply the digit in the tens place of the bottom number (2) by each digit of the top number (623), remembering to add a zero (placeholder) for the tens place.2×3=6, write down 6 with a zero to its right (60).2×2=4, write down 4 in front of the 6 (460).2×6=12, write down 6230 in front of the 6231 (6232).
Multiply hundreds place: Multiply the digit in the hundreds place of the bottom number (3) by each digit of the top number (623), remembering to add two zeros (placeholders) for the hundreds place.3×3=9, write down 9 with two zeros to its right (900).3×2=6, write down 6 in front of the 9 (6900).3×6=18, write down 6230 in front of the 6231 (6232).
Add results: Add the results of the three multiplication steps.Write the three results in a column, aligning the digits according to their place value:623×321-----623 (from Step 2)4600 (from Step 3, with the placeholder)186900 (from Step 4, with the placeholders)Add these numbers together to get the final product.
Perform addition: Perform the addition.3 (from Step 2) + 0 (from Step 3) + 0 (from Step 4) = 32 (from Step 2) + 0 (from Step 3) + 0 (from Step 4) = 26 (from Step 2) + 6 (from Step 3) + 00 (from Step 4) = 01, write down 02 and carry over 2.0 (from Step 3) + 05 (from Step 3) + 6 (from Step 4) + 2 (carried over) = 08, write down 2 and carry over 02.02 (from Step 3) + 02 (from Step 4) + 02 (carried over) = 04, write down 0 and carry over 02.02 (from Step 4) + 02 (carried over) = 2.Write down the final result: 30.