Pre-Algebra Examples

$24 \cdot 3.14$

Step 1

Multiply using long multiplication.

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Step 1.1

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 $3.14$ .

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

Step 1.2

Multiply $4$ by $2$ and add the carried $1$ . Place the result in the next column in the result line. There is one result line for each digit in $3.14$ .


		$2$	$4$
$⨯$	$3$	. $1$	$4$
		$9$	$6$

Step 1.3

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


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

Step 1.4

Multiply $1$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $3.14$ .


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

Step 1.5

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 $3.14$ .

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

Step 1.6

Multiply $3$ by $2$ and add the carried $1$ . Place the result in the next column in the result line. There is one result line for each digit in $3.14$ .


		$2$	$4$
$⨯$	$3$	. $1$	$4$
		$9$	$6$
	$2$	$4$
$7$	$2$

Step 1.7

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


		$2$	$4$
$⨯$	$3$	. $1$	$4$
		$9$	$6$
	$2$	$4$
$7$	$2$
			$6$

Step 1.8

Add the numbers in each column. In this case, add $9 + 4 + 0$ , then place the $3$ in the result line and carry the $1$ .


		$2$	$4$
$⨯$	$3$	. $1$	$4$
		$9$	$6$
	$2$	$4$
$7$	$2$
		$3$	$6$

Step 1.9

Add the numbers in each column. In this case, add $0 + 2 + 2 + 1$ , then place the $5$ in the result line.


		$2$	$4$
$⨯$	$3$	. $1$	$4$
		$9$	$6$
	$2$	$4$
$7$	$2$
	$5$	$3$	$6$

Step 1.10

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


		$2$	$4$
$⨯$	$3$	. $1$	$4$
		$9$	$6$
	$2$	$4$
$7$	$2$
$7$	$5$	$3$	$6$


		$2$	$4$
$⨯$	$3$	. $1$	$4$
		$9$	$6$
	$2$	$4$
$7$	$2$
$7$	$5$	$3$	$6$

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.

$75.36$