Basic Math Examples

$234 \cdot 18$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$8$ by

$4$ . Place the ones digit

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

$(3)$ . There is one result line for each digit in

$18$ .

		$3$
	$2$	$3$	$4$
$⨯$		$1$	$8$
			$2$

Step 1.2

Multiply

$8$ by

$3$ and add the carried

$3$ . Place the ones digit

$(7)$ in the result line and carry the tens digit

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

$18$ .

	$2$	$3$
	$2$	$3$	$4$
$⨯$		$1$	$8$
		$7$	$2$

Step 1.3

Multiply

$8$ by

$2$ and add the carried

$2$ . 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

$18$ .


	$2$	$3$	$4$
$⨯$		$1$	$8$
$1$	$8$	$7$	$2$

Step 1.4

Multiply

$1$ by

$4$ . Place the result in the next column in the result line. There is one result line for each digit in

$18$ .


	$2$	$3$	$4$
$⨯$		$1$	$8$
$1$	$8$	$7$	$2$
		$4$

Step 1.5

Multiply

$1$ by

$3$ . Place the result in the next column in the result line. There is one result line for each digit in

$18$ .


	$2$	$3$	$4$
$⨯$		$1$	$8$
$1$	$8$	$7$	$2$
	$3$	$4$

Step 1.6

Multiply

$1$ by

$2$ . Place the result in the next column in the result line. There is one result line for each digit in

$18$ .


	$2$	$3$	$4$
$⨯$		$1$	$8$
$1$	$8$	$7$	$2$
$2$	$3$	$4$

Step 1.7

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

$2 + 0$ , then place the

$2$ in the result line.


	$2$	$3$	$4$
$⨯$		$1$	$8$
$1$	$8$	$7$	$2$
$2$	$3$	$4$
			$2$

Step 1.8

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

$7 + 4$ , then place the

$1$ in the result line and carry the

$1$ .


	$2$	$3$	$4$
$⨯$		$1$	$8$
$1$	$8$	$7$	$2$
$2$	$3$	$4$
		$1$	$2$

Step 1.9

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

$8 + 3 + 1$ , then place the

$2$ in the result line and carry the

$1$ .


	$2$	$3$	$4$
$⨯$		$1$	$8$
$1$	$8$	$7$	$2$
$2$	$3$	$4$
	$2$	$1$	$2$

Step 1.10

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

$1 + 2 + 1$ , then place the

$4$ in the result line.


	$2$	$3$	$4$
$⨯$		$1$	$8$
$1$	$8$	$7$	$2$
$2$	$3$	$4$
$4$	$2$	$1$	$2$


	$2$	$3$	$4$
$⨯$		$1$	$8$
$1$	$8$	$7$	$2$
$2$	$3$	$4$
$4$	$2$	$1$	$2$

Step 2

The result of

$234 \cdot 18$ is

$4212$ .

$4212$