Pre-Algebra Examples

$3.4 \cdot (1.3)$

Step 1

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 $1.3$ .

	$1$
	$3$	. $4$
$⨯$	$1$	. $3$
		$2$

Step 2

Multiply $3$ by $3$ and add the carried $1$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $1.3$ .


	$3$	. $4$
$⨯$	$1$	. $3$
$1$	$0$	$2$

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 $1.3$ .


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

Step 4

Multiply $1$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $1.3$ .


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

Step 5

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


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

Step 6

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


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

Step 7

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


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

Step 8

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.

$4.42$