Basic Math Examples

$363 \cdot 0.34$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $4$ by $3$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $0.34$ .

		$1$
	$3$	$6$	$3$
$⨯$	$0$	. $3$	$4$
			$2$

Step 1.2

Multiply $4$ by $6$ and add the carried $1$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $0.34$ .

	$2$	$1$
	$3$	$6$	$3$
$⨯$	$0$	. $3$	$4$
		$5$	$2$

Step 1.3

Multiply $4$ by $3$ and add the carried $2$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $0.34$ .


	$3$	$6$	$3$
$⨯$	$0$	. $3$	$4$
$1$	$4$	$5$	$2$

Step 1.4

Multiply $3$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.34$ .


	$3$	$6$	$3$
$⨯$	$0$	. $3$	$4$
$1$	$4$	$5$	$2$
		$9$

Step 1.5

Multiply $3$ by $6$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $0.34$ .

	$1$
	$3$	$6$	$3$
$⨯$	$0$	. $3$	$4$
$1$	$4$	$5$	$2$
	$8$	$9$

Step 1.6

Multiply $3$ by $3$ and add the carried $1$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $0.34$ .


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$

Step 1.7

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.34$ .


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$
		$0$

Step 1.8

Multiply $0$ by $6$ . Place the result in the next column in the result line. There is one result line for each digit in $0.34$ .


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$
	$0$	$0$

Step 1.9

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.34$ .


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$
$0$	$0$	$0$

Step 1.10

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


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$
$0$	$0$	$0$
				$2$

Step 1.11

Add the numbers in each column. In this case, add $5 + 9 + 0$ , then place the $4$ in the result line and carry the $1$ .


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$
$0$	$0$	$0$
			$4$	$2$

Step 1.12

Add the numbers in each column. In this case, add $4 + 8 + 0 + 1$ , then place the $3$ in the result line and carry the $1$ .


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$
$0$	$0$	$0$
		$3$	$4$	$2$

Step 1.13

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


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$
$0$	$0$	$0$
	$2$	$3$	$4$	$2$

Step 1.14

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


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$
$0$	$0$	$0$
$1$	$2$	$3$	$4$	$2$


		$3$	$6$	$3$
	$⨯$	$0$	. $3$	$4$
	$1$	$4$	$5$	$2$
$1$	$0$	$8$	$9$
$0$	$0$	$0$
$1$	$2$	$3$	$4$	$2$

Step 2

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of $2$ , so the answer must have $2$ decimal places as well.

$123.42$