Basic Math Examples

$0.03 \cdot 54$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $4$ by $3$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $54$ .

		$1$
	$0$	. $0$	$3$
$⨯$		$5$	$4$
			$2$

Step 1.2

Multiply $4$ 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 $54$ .

		$1$
	$0$	. $0$	$3$
$⨯$		$5$	$4$
		$1$	$2$

Step 1.3

Multiply $4$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $54$ .


	$0$	. $0$	$3$
$⨯$		$5$	$4$
	$0$	$1$	$2$

Step 1.4

Multiply $5$ by $3$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $54$ .

		$1$
	$0$	. $0$	$3$
$⨯$		$5$	$4$
	$0$	$1$	$2$
		$5$

Step 1.5

Multiply $5$ 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 $54$ .

		$1$
	$0$	. $0$	$3$
$⨯$		$5$	$4$
	$0$	$1$	$2$
	$1$	$5$

Step 1.6

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $54$ .


	$0$	. $0$	$3$
$⨯$		$5$	$4$
	$0$	$1$	$2$
$0$	$1$	$5$

Step 1.7

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


	$0$	. $0$	$3$
$⨯$		$5$	$4$
	$0$	$1$	$2$
$0$	$1$	$5$
			$2$

Step 1.8

Add the numbers in each column. In this case, add $1 + 5$ , then place the $6$ in the result line.


	$0$	. $0$	$3$
$⨯$		$5$	$4$
	$0$	$1$	$2$
$0$	$1$	$5$
		$6$	$2$

Step 1.9

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


	$0$	. $0$	$3$
$⨯$		$5$	$4$
	$0$	$1$	$2$
$0$	$1$	$5$
	$1$	$6$	$2$


	$0$	. $0$	$3$
$⨯$		$5$	$4$
	$0$	$1$	$2$
$0$	$1$	$5$
	$1$	$6$	$2$

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.

$1.62$