Evaluate 478*789

$478 \cdot 789$

Step 1

Multiply using long multiplication.

Multiply $9$ by $8$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(7)$ . There is one result line for each digit in $789$ .

		$7$
	$4$	$7$	$8$
$⨯$	$7$	$8$	$9$
			$2$

Multiply $9$ by $7$ and add the carried $7$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(7)$ . There is one result line for each digit in the $789$ .

	$7$	$7$
	$4$	$7$	$8$
$⨯$	$7$	$8$	$9$
		$0$	$2$

Multiply $9$ by $4$ and add the carried $7$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $789$ .


	$4$	$7$	$8$
$⨯$	$7$	$8$	$9$
$4$	$3$	$0$	$2$

Multiply $8$ by $8$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in $789$ .

		$6$
	$4$	$7$	$8$
$⨯$	$7$	$8$	$9$
$4$	$3$	$0$	$2$
		$4$

Multiply $8$ by $7$ and add the carried $6$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in the $789$ .

	$6$	$6$
	$4$	$7$	$8$
$⨯$	$7$	$8$	$9$
$4$	$3$	$0$	$2$
	$2$	$4$

Multiply $8$ by $4$ and add the carried $6$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $789$ .


		$4$	$7$	$8$
	$⨯$	$7$	$8$	$9$
	$4$	$3$	$0$	$2$
$3$	$8$	$2$	$4$

Multiply $7$ by $8$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in $789$ .

			$5$
		$4$	$7$	$8$
	$⨯$	$7$	$8$	$9$
	$4$	$3$	$0$	$2$
$3$	$8$	$2$	$4$
		$6$

Multiply $7$ by $7$ and add the carried $5$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $789$ .

		$5$	$5$
		$4$	$7$	$8$
	$⨯$	$7$	$8$	$9$
	$4$	$3$	$0$	$2$
$3$	$8$	$2$	$4$
	$4$	$6$

Multiply $7$ by $4$ and add the carried $5$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $789$ .


			$4$	$7$	$8$
		$⨯$	$7$	$8$	$9$
		$4$	$3$	$0$	$2$
	$3$	$8$	$2$	$4$
$3$	$3$	$4$	$6$

Add the numbers in each column. In this case, add $2 + 0 + 0$ , then place the $2$ in the result line.


			$4$	$7$	$8$
		$⨯$	$7$	$8$	$9$
		$4$	$3$	$0$	$2$
	$3$	$8$	$2$	$4$
$3$	$3$	$4$	$6$
					$2$

Add the numbers in each column. In this case, add $0 + 4 + 0$ , then place the $4$ in the result line.


			$4$	$7$	$8$
		$⨯$	$7$	$8$	$9$
		$4$	$3$	$0$	$2$
	$3$	$8$	$2$	$4$
$3$	$3$	$4$	$6$
				$4$	$2$

Add the numbers in each column. In this case, add $3 + 2 + 6$ , then place the $1$ in the result line and carry the $1$ .


			$4$	$7$	$8$
		$⨯$	$7$	$8$	$9$
		$4$	$3$	$0$	$2$
	$3$	$8$	$2$	$4$
$3$	$3$	$4$	$6$
			$1$	$4$	$2$

Add the numbers in each column. In this case, add $4 + 8 + 4 + 1$ , then place the $7$ in the result line and carry the $1$ .


			$4$	$7$	$8$
		$⨯$	$7$	$8$	$9$
		$4$	$3$	$0$	$2$
	$3$	$8$	$2$	$4$
$3$	$3$	$4$	$6$
		$7$	$1$	$4$	$2$

Add the numbers in each column. In this case, add $0 + 3 + 3 + 1$ , then place the $7$ in the result line.


			$4$	$7$	$8$
		$⨯$	$7$	$8$	$9$
		$4$	$3$	$0$	$2$
	$3$	$8$	$2$	$4$
$3$	$3$	$4$	$6$
	$7$	$7$	$1$	$4$	$2$

Add the numbers in each column. In this case, add $0 + 0 + 3$ , then place the $3$ in the result line.


			$4$	$7$	$8$
		$⨯$	$7$	$8$	$9$
		$4$	$3$	$0$	$2$
	$3$	$8$	$2$	$4$
$3$	$3$	$4$	$6$
$3$	$7$	$7$	$1$	$4$	$2$


			$4$	$7$	$8$
		$⨯$	$7$	$8$	$9$
		$4$	$3$	$0$	$2$
	$3$	$8$	$2$	$4$
$3$	$3$	$4$	$6$
$3$	$7$	$7$	$1$	$4$	$2$

Step 2

The result of $478 \cdot 789$ is $377142$ .

$377142$

Evaluate 478*789

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