Pre-Algebra Examples

$64 \cdot 3.14$

Step 1

Multiply $4$ by $4$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $3.14$ .

		$1$
		$6$	$4$
$⨯$	$3$	. $1$	$4$
			$6$

Step 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 $3.14$ .


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

Step 3

Multiply $1$ by $4$ . Place the result in the next column in the result line. There is one result line for each digit in $3.14$ .


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

Step 4

Multiply $1$ by $6$ . Place the result in the next column in the result line. There is one result line for each digit in $3.14$ .


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

Step 5

Multiply $3$ by $4$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $3.14$ .

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

Step 6

Multiply $3$ by $6$ and add the carried $1$ . Place the ones digit $(9)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $3.14$ .


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

Step 7

Add the numbers in each column. In this case, add $6 + 0 + 0$ , then place the $6$ in the result line.


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

Step 8

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


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

Step 9

Add the numbers in each column. In this case, add $2 + 6 + 2$ , then place the $0$ in the result line and carry the $1$ .


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

Step 10

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


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

Step 11

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


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

Step 12

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.

$200.96$