Basic Math Examples

$75.88 \cdot 3$

Step 1

Multiply using long multiplication.

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Step 1.1

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

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

Step 1.2

Multiply $3$ by $8$ and add the carried $2$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $3$ .

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

Step 1.3

Multiply $3$ by $5$ and add the carried $2$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $3$ .

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

Step 1.4

Multiply $3$ by $7$ and add the carried $1$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $3$ .


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

Step 1.5

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


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

Step 1.6

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


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

Step 1.7

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


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

Step 1.8

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


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

Step 1.9

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


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


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

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 $2$ , so the answer must have $2$ decimal places as well.

$227.64$