Pre-Algebra Examples

$0.785 \cdot 60$

Step 1

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $60$ .


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
				$0$

Step 2

Multiply $0$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $60$ .


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
			$0$	$0$

Step 3

Multiply $0$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $60$ .


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
		$0$	$0$	$0$

Step 4

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $60$ .


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$

Step 5

Multiply $6$ by $5$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in $60$ .

			$3$
	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$
			$0$

Step 6

Multiply $6$ by $8$ and add the carried $3$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $60$ .

		$5$	$3$
	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$
		$1$	$0$

Step 7

Multiply $6$ by $7$ and add the carried $5$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $60$ .

	$4$	$5$	$3$
	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$
	$7$	$1$	$0$

Step 8

Multiply $6$ by $0$ and add the carried $4$ . Place the result in the next column in the result line. There is one result line for each digit in $60$ .


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$
$4$	$7$	$1$	$0$

Step 9

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


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$
$4$	$7$	$1$	$0$
				$0$

Step 10

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


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$
$4$	$7$	$1$	$0$
			$0$	$0$

Step 11

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


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$
$4$	$7$	$1$	$0$
		$1$	$0$	$0$

Step 12

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


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$
$4$	$7$	$1$	$0$
	$7$	$1$	$0$	$0$

Step 13

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


	$0$	. $7$	$8$	$5$
$⨯$			$6$	$0$
	$0$	$0$	$0$	$0$
$4$	$7$	$1$	$0$
$4$	$7$	$1$	$0$	$0$

Step 14

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.

$47.1$