Pre-Algebra Examples

$59 \cdot 59$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $9$ by $9$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(8)$ . There is one result line for each digit in $59$ .

	$8$
	$5$	$9$
$⨯$	$5$	$9$
		$1$

Step 1.2

Multiply $9$ by $5$ and add the carried $8$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $59$ .


	$5$	$9$
$⨯$	$5$	$9$
$5$	$3$	$1$

Step 1.3

Multiply $5$ by $9$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in $59$ .

	$4$
	$5$	$9$
$⨯$	$5$	$9$
$5$	$3$	$1$
	$5$

Step 1.4

Multiply $5$ by $5$ and add the carried $4$ . Place the ones digit $(9)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $59$ .


		$5$	$9$
	$⨯$	$5$	$9$
	$5$	$3$	$1$
$2$	$9$	$5$

Step 1.5

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


		$5$	$9$
	$⨯$	$5$	$9$
	$5$	$3$	$1$
$2$	$9$	$5$
			$1$

Step 1.6

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


		$5$	$9$
	$⨯$	$5$	$9$
	$5$	$3$	$1$
$2$	$9$	$5$
		$8$	$1$

Step 1.7

Add the numbers in each column. In this case, add $5 + 9$ , then place the $4$ in the result line and carry the $1$ .


		$5$	$9$
	$⨯$	$5$	$9$
	$5$	$3$	$1$
$2$	$9$	$5$
	$4$	$8$	$1$

Step 1.8

Add the numbers in each column. In this case, add $0 + 2 + 1$ , then place the $3$ in the result line.


		$5$	$9$
	$⨯$	$5$	$9$
	$5$	$3$	$1$
$2$	$9$	$5$
$3$	$4$	$8$	$1$


		$5$	$9$
	$⨯$	$5$	$9$
	$5$	$3$	$1$
$2$	$9$	$5$
$3$	$4$	$8$	$1$

Step 2

The result of $59 \cdot 59$ is $3481$ .

$3481$