$623 \times 321 = ?$

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Grade 6

Multiply whole numbers

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623 \times 321 = ?

Set up problem: Set up the multiplication problem in the standard format. $\newline$ 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 ( $623$ ). $\newline$ $1 \times 3 = 3$ $\newline$ $1 \times 2 = 2$ $\newline$ $1 \times 6 = 6$ $\newline$ Write 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. $\newline$ $2 \times 3 = 6$ , write down $6$ with a zero to its right ( $60$ ). $\newline$ $2 \times 2 = 4$ , write down $4$ in front of the $6$ ( $460$ ). $\newline$ $2 \times 6 = 12$ , write down $623$ $0$ in front of the $623$ $1$ ( $623$ $2$ ).
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. $\newline$ $3 \times 3 = 9$ , write down $9$ with two zeros to its right ( $900$ ). $\newline$ $3 \times 2 = 6$ , write down $6$ in front of the $9$ ( $6900$ ). $\newline$ $3 \times 6 = 18$ , write down $623$ $0$ in front of the $623$ $1$ ( $623$ $2$ ).
Add results: Add the results of the three multiplication steps. $\newline$ Write the three results in a column, aligning the digits according to their place value: $\newline$ $623$ $\newline$ $\times 321$ $\newline$ ----- $\newline$ $623$ (from Step $2$ ) $\newline$ $4600$ (from Step $3$ , with the placeholder) $\newline$ $186900$ (from Step $4$ , with the placeholders) $\newline$ Add these numbers together to get the final product.
Perform addition: Perform the addition. $\newline$ $3$ (from Step $2$ ) + $0$ (from Step $3$ ) + $0$ (from Step $4$ ) = $3$ $\newline$ $2$ (from Step $2$ ) + $0$ (from Step $3$ ) + $0$ (from Step $4$ ) = $2$ $\newline$ $6$ (from Step $2$ ) + $6$ (from Step $3$ ) + $0$ $0$ (from Step $4$ ) = $0$ $1$ , write down $0$ $2$ and carry over $2$ . $\newline$ $0$ (from Step $3$ ) + $0$ $5$ (from Step $3$ ) + $6$ (from Step $4$ ) + $2$ (carried over) = $0$ $8$ , write down $2$ and carry over $0$ $2$ . $\newline$ $0$ $2$ (from Step $3$ ) + $0$ $2$ (from Step $4$ ) + $0$ $2$ (carried over) = $0$ $4$ , write down $0$ and carry over $0$ $2$ . $\newline$ $0$ $2$ (from Step $4$ ) + $0$ $2$ (carried over) = $2$ . $\newline$ Write down the final result: $3$ $0$ .