Basic Math Examples

0.3 \cdot 100

$0.3 \cdot 100$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

0

$0$ by

0

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

100

$100$ .


	$0$ $0$	. $3$ $3$	$0$ $0$
$\times$ $⨯$	$1$	$0$	$0$
			$0$

Step 1.2

Multiply

$0$ by

$3$ . Place the result in the next column in the result line. There is one result line for each digit in

$100$ .


	$0$	. $3$	$0$
$⨯$	$1$	$0$	$0$
		$0$	$0$

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

$100$ .


	$0$	. $3$	$0$
$⨯$	$1$	$0$	$0$
	$0$	$0$	$0$

Step 1.4

Multiply

$0$ by

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

$100$ .


	$0$	. $3$	$0$
$⨯$	$1$	$0$	$0$
	$0$	$0$	$0$
		$0$

Step 1.5

Multiply

$0$ by

$3$ . Place the result in the next column in the result line. There is one result line for each digit in

$100$ .


	$0$	. $3$	$0$
$⨯$	$1$	$0$	$0$
	$0$	$0$	$0$
	$0$	$0$

Step 1.6

Multiply

$0$ by

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

$100$ .


	$0$	. $3$	$0$
$⨯$	$1$	$0$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$

Step 1.7

Multiply

$1$ by

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

$100$ .


	$0$	. $3$	$0$
$⨯$	$1$	$0$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$
	$0$

Step 1.8

Multiply

$1$ by

$3$ . Place the result in the next column in the result line. There is one result line for each digit in

$100$ .


	$0$	. $3$	$0$
$⨯$	$1$	$0$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$
$3$	$0$

Step 1.9

Multiply

$1$ by

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

$100$ .


		$0$	. $3$	$0$
	$⨯$	$1$	$0$	$0$
		$0$	$0$	$0$
	$0$	$0$	$0$
$0$	$3$	$0$

Step 1.10

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

$0 + 0 + 0$ , then place the

$0$ in the result line.


		$0$	. $3$	$0$
	$⨯$	$1$	$0$	$0$
		$0$	$0$	$0$
	$0$	$0$	$0$
$0$	$3$	$0$
				$0$

Step 1.11

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

$0 + 0 + 0$ , then place the

$0$ in the result line.


		$0$	. $3$	$0$
	$⨯$	$1$	$0$	$0$
		$0$	$0$	$0$
	$0$	$0$	$0$
$0$	$3$	$0$
			$0$	$0$

Step 1.12

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

$0 + 0 + 0$ , then place the

$0$ in the result line.


		$0$	. $3$	$0$
	$⨯$	$1$	$0$	$0$
		$0$	$0$	$0$
	$0$	$0$	$0$
$0$	$3$	$0$
		$0$	$0$	$0$

Step 1.13

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

$0 + 0 + 3$ , then place the

$3$ in the result line.


		$0$	. $3$	$0$
	$⨯$	$1$	$0$	$0$
		$0$	$0$	$0$
	$0$	$0$	$0$
$0$	$3$	$0$
	$3$	$0$	$0$	$0$


		$0$	. $3$	$0$
	$⨯$	$1$	$0$	$0$
		$0$	$0$	$0$
	$0$	$0$	$0$
$0$	$3$	$0$
	$3$	$0$	$0$	$0$

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.

$30$