Basic Math Examples

$0.08 \cdot 720$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$0$ by

$8$ . Place the result in the next column in the result line. There is one result line for each digit in

$720$ .


	$0$	. $0$	$8$
$⨯$	$7$	$2$	$0$
			$0$

Step 1.2

Multiply

$0$ by

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

$720$ .


	$0$	. $0$	$8$
$⨯$	$7$	$2$	$0$
		$0$	$0$

Step 1.3

Multiply

$0$ by

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

$720$ .


	$0$	. $0$	$8$
$⨯$	$7$	$2$	$0$
	$0$	$0$	$0$

Step 1.4

Multiply

$2$ by

$8$ . Place the ones digit

$(6)$ in the result line and carry the tens digit

$(1)$ . There is one result line for each digit in

$720$ .

		$1$
	$0$	. $0$	$8$
$⨯$	$7$	$2$	$0$
	$0$	$0$	$0$
		$6$

Step 1.5

Multiply

$2$ by

$0$ and add the carried

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

$720$ .

		$1$
	$0$	. $0$	$8$
$⨯$	$7$	$2$	$0$
	$0$	$0$	$0$
	$1$	$6$

Step 1.6

Multiply

$2$ by

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

$720$ .


	$0$	. $0$	$8$
$⨯$	$7$	$2$	$0$
	$0$	$0$	$0$
$0$	$1$	$6$

Step 1.7

Multiply

$7$ by

$8$ . Place the ones digit

$(6)$ in the result line and carry the tens digit

$(5)$ . There is one result line for each digit in

$720$ .

		$5$
	$0$	. $0$	$8$
$⨯$	$7$	$2$	$0$
	$0$	$0$	$0$
$0$	$1$	$6$
	$6$

Step 1.8

Multiply

$7$ by

$0$ and add the carried

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

$720$ .

		$5$
	$0$	. $0$	$8$
$⨯$	$7$	$2$	$0$
	$0$	$0$	$0$
$0$	$1$	$6$
$5$	$6$

Step 1.9

Multiply

$7$ by

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

$720$ .


		$0$	. $0$	$8$
	$⨯$	$7$	$2$	$0$
		$0$	$0$	$0$
	$0$	$1$	$6$
$0$	$5$	$6$

Step 1.10

Add the numbers in each column. In this case, add

$0 + 0 + 0$ , then place the

$0$ in the result line.


		$0$	. $0$	$8$
	$⨯$	$7$	$2$	$0$
		$0$	$0$	$0$
	$0$	$1$	$6$
$0$	$5$	$6$
				$0$

Step 1.11

Add the numbers in each column. In this case, add

$0 + 6 + 0$ , then place the

$6$ in the result line.


		$0$	. $0$	$8$
	$⨯$	$7$	$2$	$0$
		$0$	$0$	$0$
	$0$	$1$	$6$
$0$	$5$	$6$
			$6$	$0$

Step 1.12

Add the numbers in each column. In this case, add

$0 + 1 + 6$ , then place the

$7$ in the result line.


		$0$	. $0$	$8$
	$⨯$	$7$	$2$	$0$
		$0$	$0$	$0$
	$0$	$1$	$6$
$0$	$5$	$6$
		$7$	$6$	$0$

Step 1.13

Add the numbers in each column. In this case, add

$0 + 0 + 5$ , then place the

$5$ in the result line.


		$0$	. $0$	$8$
	$⨯$	$7$	$2$	$0$
		$0$	$0$	$0$
	$0$	$1$	$6$
$0$	$5$	$6$
	$5$	$7$	$6$	$0$


		$0$	. $0$	$8$
	$⨯$	$7$	$2$	$0$
		$0$	$0$	$0$
	$0$	$1$	$6$
$0$	$5$	$6$
	$5$	$7$	$6$	$0$

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.

$57.6$