Algebra Examples

$16 \cdot 16$

Step 1

Multiply $6$ by $6$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in $16$ .

	$3$
	$1$	$6$
$⨯$	$1$	$6$
		$6$

Step 2

Multiply $6$ by $1$ and add the carried $3$ . Place the result in the next column in the result line. There is one result line for each digit in $16$ .


	$1$	$6$
$⨯$	$1$	$6$
	$9$	$6$

Step 3

Multiply $1$ by $6$ . Place the result in the next column in the result line. There is one result line for each digit in $16$ .


	$1$	$6$
$⨯$	$1$	$6$
	$9$	$6$
	$6$

Step 4

Multiply $1$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $16$ .


	$1$	$6$
$⨯$	$1$	$6$
	$9$	$6$
$1$	$6$

Step 5

Add the numbers in each column. In this case, add $6 + 0$ , then place the $6$ in the result line.


	$1$	$6$
$⨯$	$1$	$6$
	$9$	$6$
$1$	$6$
		$6$

Step 6

Add the numbers in each column. In this case, add $9 + 6$ , then place the $5$ in the result line and carry the $1$ .


	$1$	$6$
$⨯$	$1$	$6$
	$9$	$6$
$1$	$6$
	$5$	$6$

Step 7

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


	$1$	$6$
$⨯$	$1$	$6$
	$9$	$6$
$1$	$6$
$2$	$5$	$6$

Step 8

The result of $16 \cdot 16$ is $256$ .

$256$