Basic Math Examples

$68 \cdot 68$

Step 1

Multiply using long multiplication.

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Step 1.1

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

$68$ .

	$6$
	$6$	$8$
$⨯$	$6$	$8$
		$4$

Step 1.2

Multiply

$8$ by

$6$ and add the carried

$6$ . 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

$68$ .


	$6$	$8$
$⨯$	$6$	$8$
$5$	$4$	$4$

Step 1.3

Multiply

$6$ by

$8$ . Place the ones digit

$(8)$ in the result line and carry the tens digit

$(4)$ . There is one result line for each digit in

$68$ .

	$4$
	$6$	$8$
$⨯$	$6$	$8$
$5$	$4$	$4$
	$8$

Step 1.4

Multiply

$6$ by

$6$ and add the carried

$4$ . Place the ones digit

$(0)$ in the result line and carry the tens digit

$(4)$ . There is one result line for each digit in the

$68$ .


		$6$	$8$
	$⨯$	$6$	$8$
	$5$	$4$	$4$
$4$	$0$	$8$

Step 1.5

Add the numbers in each column. In this case, add

$4 + 0$ , then place the

$4$ in the result line.


		$6$	$8$
	$⨯$	$6$	$8$
	$5$	$4$	$4$
$4$	$0$	$8$
			$4$

Step 1.6

Add the numbers in each column. In this case, add

$4 + 8$ , then place the

$2$ in the result line and carry the

$1$ .


		$6$	$8$
	$⨯$	$6$	$8$
	$5$	$4$	$4$
$4$	$0$	$8$
		$2$	$4$

Step 1.7

Add the numbers in each column. In this case, add

$5 + 0 + 1$ , then place the

$6$ in the result line.


		$6$	$8$
	$⨯$	$6$	$8$
	$5$	$4$	$4$
$4$	$0$	$8$
	$6$	$2$	$4$

Step 1.8

Add the numbers in each column. In this case, add

$0 + 4$ , then place the

$4$ in the result line.


		$6$	$8$
	$⨯$	$6$	$8$
	$5$	$4$	$4$
$4$	$0$	$8$
$4$	$6$	$2$	$4$


		$6$	$8$
	$⨯$	$6$	$8$
	$5$	$4$	$4$
$4$	$0$	$8$
$4$	$6$	$2$	$4$

Step 2

The result of

$68 \cdot 68$ is

$4624$ .

$4624$