Pre-Algebra Examples

$8.6 \cdot 0.15$

Step 1

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 $0.15$ .

		$3$
		$8$	. $6$
$⨯$	$0$	. $1$	$5$
			$0$

Step 2

Multiply $5$ by $8$ and add the carried $3$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $0.15$ .


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

Step 3

Multiply $1$ by $6$ . Place the result in the next column in the result line. There is one result line for each digit in $0.15$ .


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

Step 4

Multiply $1$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $0.15$ .


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

Step 5

Multiply $0$ by $6$ . Place the result in the next column in the result line. There is one result line for each digit in $0.15$ .


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

Step 6

Multiply $0$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $0.15$ .


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

Step 7

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


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

Step 8

Add the numbers in each column. In this case, add $3 + 6 + 0$ , then place the $9$ in the result line.


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

Step 9

Add the numbers in each column. In this case, add $4 + 8 + 0$ , then place the $2$ in the result line and carry the $1$ .


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

Step 10

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.

$1.29$