Basic Math Examples

$27 \cdot 27$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$7$ by

$7$ . Place the ones digit

$(9)$ in the result line and carry the tens digit

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

$27$ .

	$4$
	$2$	$7$
$⨯$	$2$	$7$
		$9$

Step 1.2

Multiply

$7$ by

$2$ and add the carried

$4$ . Place the ones digit

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

$(1)$ . There is one result line for each digit in the

$27$ .


	$2$	$7$
$⨯$	$2$	$7$
$1$	$8$	$9$

Step 1.3

Multiply

$2$ by

$7$ . Place the ones digit

$(4)$ in the result line and carry the tens digit

$(1)$ . There is one result line for each digit in

$27$ .

	$1$
	$2$	$7$
$⨯$	$2$	$7$
$1$	$8$	$9$
	$4$

Step 1.4

Multiply

$2$ by

$2$ and add the carried

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

$27$ .


	$2$	$7$
$⨯$	$2$	$7$
$1$	$8$	$9$
$5$	$4$

Step 1.5

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

$9 + 0$ , then place the

$9$ in the result line.


	$2$	$7$
$⨯$	$2$	$7$
$1$	$8$	$9$
$5$	$4$
		$9$

Step 1.6

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

$8 + 4$ , then place the

$2$ in the result line and carry the

$1$ .


	$2$	$7$
$⨯$	$2$	$7$
$1$	$8$	$9$
$5$	$4$
	$2$	$9$

Step 1.7

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

$1 + 5 + 1$ , then place the

$7$ in the result line.


	$2$	$7$
$⨯$	$2$	$7$
$1$	$8$	$9$
$5$	$4$
$7$	$2$	$9$


	$2$	$7$
$⨯$	$2$	$7$
$1$	$8$	$9$
$5$	$4$
$7$	$2$	$9$

Step 2

The result of

$27 \cdot 27$ is

$729$ .

$729$