Basic Math Examples

$73.6 \cdot 48$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $8$ by $6$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in $48$ .

		$4$
	$7$	$3$	. $6$
$⨯$		$4$	$8$
			$8$

Step 1.2

Multiply $8$ by $3$ and add the carried $4$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $48$ .

	$2$	$4$
	$7$	$3$	. $6$
$⨯$		$4$	$8$
		$8$	$8$

Step 1.3

Multiply $8$ by $7$ and add the carried $2$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $48$ .


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

Step 1.4

Multiply $4$ by $6$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $48$ .

		$2$
	$7$	$3$	. $6$
$⨯$		$4$	$8$
$5$	$8$	$8$	$8$
		$4$

Step 1.5

Multiply $4$ by $3$ and add the carried $2$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $48$ .

	$1$	$2$
	$7$	$3$	. $6$
$⨯$		$4$	$8$
$5$	$8$	$8$	$8$
	$4$	$4$

Step 1.6

Multiply $4$ by $7$ and add the carried $1$ . Place the ones digit $(9)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $48$ .


		$7$	$3$	. $6$
	$⨯$		$4$	$8$
	$5$	$8$	$8$	$8$
$2$	$9$	$4$	$4$

Step 1.7

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


		$7$	$3$	. $6$
	$⨯$		$4$	$8$
	$5$	$8$	$8$	$8$
$2$	$9$	$4$	$4$
				$8$

Step 1.8

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


		$7$	$3$	. $6$
	$⨯$		$4$	$8$
	$5$	$8$	$8$	$8$
$2$	$9$	$4$	$4$
			$2$	$8$

Step 1.9

Add the numbers in each column. In this case, add $8 + 4 + 1$ , then place the $3$ in the result line and carry the $1$ .


		$7$	$3$	. $6$
	$⨯$		$4$	$8$
	$5$	$8$	$8$	$8$
$2$	$9$	$4$	$4$
		$3$	$2$	$8$

Step 1.10

Add the numbers in each column. In this case, add $5 + 9 + 1$ , then place the $5$ in the result line and carry the $1$ .


		$7$	$3$	. $6$
	$⨯$		$4$	$8$
	$5$	$8$	$8$	$8$
$2$	$9$	$4$	$4$
	$5$	$3$	$2$	$8$

Step 1.11

Add the numbers in each column. In this case, add $0 + 2 + 1$ , then place the $3$ in the result line.


		$7$	$3$	. $6$
	$⨯$		$4$	$8$
	$5$	$8$	$8$	$8$
$2$	$9$	$4$	$4$
$3$	$5$	$3$	$2$	$8$


		$7$	$3$	. $6$
	$⨯$		$4$	$8$
	$5$	$8$	$8$	$8$
$2$	$9$	$4$	$4$
$3$	$5$	$3$	$2$	$8$

Step 2

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.

$3532.8$