Pre-Algebra Examples

$5.01 \cdot 45.6$

Step 1

Multiply $6$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $45.6$ .


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

Step 2

Multiply $6$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $45.6$ .


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

Step 3

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 $45.6$ .


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

Step 4

Multiply $5$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $45.6$ .


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

Step 5

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $45.6$ .


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

Step 6

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 $45.6$ .


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

Step 7

Multiply $4$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $45.6$ .


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

Step 8

Multiply $4$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $45.6$ .


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

Step 9

Multiply $4$ by $5$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $45.6$ .


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

Step 10

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


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

Step 11

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


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

Step 12

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


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

Step 13

Add the numbers in each column. In this case, add $3 + 5 + 0$ , then place the $8$ in the result line.


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

Step 14

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


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

Step 15

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


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

Step 16

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.

$228.456$