Basic Math Examples

$14 \cdot 7.5$

Step 1

Multiply $5$ by $4$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $7.5$ .

	$2$
	$1$	$4$
$⨯$	$7$	. $5$
		$0$

Step 2

Multiply $5$ by $1$ and add the carried $2$ . Place the result in the next column in the result line. There is one result line for each digit in $7.5$ .


	$1$	$4$
$⨯$	$7$	. $5$
	$7$	$0$

Step 3

Multiply $7$ by $4$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $7.5$ .

	$2$
	$1$	$4$
$⨯$	$7$	. $5$
	$7$	$0$
	$8$

Step 4

Multiply $7$ by $1$ and add the carried $2$ . Place the result in the next column in the result line. There is one result line for each digit in $7.5$ .


	$1$	$4$
$⨯$	$7$	. $5$
	$7$	$0$
$9$	$8$

Step 5

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


	$1$	$4$
$⨯$	$7$	. $5$
	$7$	$0$
$9$	$8$
		$0$

Step 6

Add the numbers in each column. In this case, add $7 + 8$ , then place the $5$ in the result line and carry the $1$ .


	$1$	$4$
$⨯$	$7$	. $5$
	$7$	$0$
$9$	$8$
	$5$	$0$

Step 7

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


		$1$	$4$
	$⨯$	$7$	. $5$
		$7$	$0$
	$9$	$8$
$1$	$0$	$5$	$0$

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 $1$ , so the answer must have $1$ decimal places as well.

$105$