Basic Math Examples

$45 \cdot 55$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$5$ by

$5$ . Place the ones digit

$(5)$ in the result line and carry the tens digit

$(2)$ . There is one result line for each digit in

$55$ .

	$2$
	$4$	$5$
$⨯$	$5$	$5$
		$5$

Step 1.2

Multiply

$5$ by

$4$ and add the carried

$2$ . Place the ones digit

$(2)$ in the result line and carry the tens digit

$(2)$ . There is one result line for each digit in the

$55$ .


	$4$	$5$
$⨯$	$5$	$5$
$2$	$2$	$5$

Step 1.3

Multiply

$5$ by

$5$ . Place the ones digit

$(5)$ in the result line and carry the tens digit

$(2)$ . There is one result line for each digit in

$55$ .

	$2$
	$4$	$5$
$⨯$	$5$	$5$
$2$	$2$	$5$
	$5$

Step 1.4

Multiply

$5$ by

$4$ and add the carried

$2$ . Place the ones digit

$(2)$ in the result line and carry the tens digit

$(2)$ . There is one result line for each digit in the

$55$ .


		$4$	$5$
	$⨯$	$5$	$5$
	$2$	$2$	$5$
$2$	$2$	$5$

Step 1.5

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

$5 + 0$ , then place the

$5$ in the result line.


		$4$	$5$
	$⨯$	$5$	$5$
	$2$	$2$	$5$
$2$	$2$	$5$
			$5$

Step 1.6

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

$2 + 5$ , then place the

$7$ in the result line.


		$4$	$5$
	$⨯$	$5$	$5$
	$2$	$2$	$5$
$2$	$2$	$5$
		$7$	$5$

Step 1.7

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

$2 + 2$ , then place the

$4$ in the result line.


		$4$	$5$
	$⨯$	$5$	$5$
	$2$	$2$	$5$
$2$	$2$	$5$
	$4$	$7$	$5$

Step 1.8

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

$0 + 2$ , then place the

$2$ in the result line.


		$4$	$5$
	$⨯$	$5$	$5$
	$2$	$2$	$5$
$2$	$2$	$5$
$2$	$4$	$7$	$5$


		$4$	$5$
	$⨯$	$5$	$5$
	$2$	$2$	$5$
$2$	$2$	$5$
$2$	$4$	$7$	$5$

Step 2

The result of

$45 \cdot 55$ is

$2475$ .

$2475$