Basic Math Examples

$614.25 \cdot 0.5$

Step 1

Multiply using long multiplication.

Tap for more steps...

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 $0.5$ .

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

Step 1.2

Multiply $5$ by $2$ and add the carried $2$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $0.5$ .

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

Step 1.3

Multiply $5$ by $4$ and add the carried $1$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $0.5$ .

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

Step 1.4

Multiply $5$ by $1$ and add the carried $2$ . Place the result in the next column in the result line. There is one result line for each digit in $0.5$ .

		$2$	$1$	$2$
	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
		$7$	$1$	$2$	$5$

Step 1.5

Multiply $5$ by $6$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in $0.5$ .


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$

Step 1.6

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $0.5$ .


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
				$0$

Step 1.7

Multiply $0$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $0.5$ .


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
			$0$	$0$

Step 1.8

Multiply $0$ by $4$ . Place the result in the next column in the result line. There is one result line for each digit in $0.5$ .


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
		$0$	$0$	$0$

Step 1.9

Multiply $0$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $0.5$ .


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
	$0$	$0$	$0$	$0$

Step 1.10

Multiply $0$ by $6$ . Place the result in the next column in the result line. There is one result line for each digit in $0.5$ .


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
$0$	$0$	$0$	$0$	$0$

Step 1.11

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


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
$0$	$0$	$0$	$0$	$0$
					$5$

Step 1.12

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


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
$0$	$0$	$0$	$0$	$0$
				$2$	$5$

Step 1.13

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


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
$0$	$0$	$0$	$0$	$0$
			$1$	$2$	$5$

Step 1.14

Add the numbers in each column. In this case, add $7 + 0$ , then place the $7$ in the result line.


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
$0$	$0$	$0$	$0$	$0$
		$7$	$1$	$2$	$5$

Step 1.15

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


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
$0$	$0$	$0$	$0$	$0$
	$0$	$7$	$1$	$2$	$5$

Step 1.16

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


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
$0$	$0$	$0$	$0$	$0$
$3$	$0$	$7$	$1$	$2$	$5$


	$6$	$1$	$4$	. $2$	$5$
$⨯$				$0$	. $5$
$3$	$0$	$7$	$1$	$2$	$5$
$0$	$0$	$0$	$0$	$0$
$3$	$0$	$7$	$1$	$2$	$5$

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 $3$ , so the answer must have $3$ decimal places as well.

$307.125$