Pre-Algebra Examples

$85 \cdot 34$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $4$ by $5$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $34$ .

	$2$
	$8$	$5$
$⨯$	$3$	$4$
		$0$

Step 1.2

Multiply $4$ by $8$ and add the carried $2$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $34$ .


	$8$	$5$
$⨯$	$3$	$4$
$3$	$4$	$0$

Step 1.3

Multiply $3$ by $5$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $34$ .

	$1$
	$8$	$5$
$⨯$	$3$	$4$
$3$	$4$	$0$
	$5$

Step 1.4

Multiply $3$ by $8$ and add the carried $1$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $34$ .


		$8$	$5$
	$⨯$	$3$	$4$
	$3$	$4$	$0$
$2$	$5$	$5$

Step 1.5

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


		$8$	$5$
	$⨯$	$3$	$4$
	$3$	$4$	$0$
$2$	$5$	$5$
			$0$

Step 1.6

Add the numbers in each column. In this case, add $4 + 5$ , then place the $9$ in the result line.


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

Step 1.7

Add the numbers in each column. In this case, add $3 + 5$ , then place the $8$ in the result line.


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

Step 1.8

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


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


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

Step 2

The result of $85 \cdot 34$ is $2890$ .

$2890$