Basic Math Examples

0.2 \cdot 65

$0.2 \cdot 65$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

5

$5$ by

2

$2$ . Place the ones digit

(0)

$(0)$ in the result line and carry the tens digit

(1)

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

65

$65$ .

	$1$ $1$
	$0$ $0$	. $2$ $2$
$\times$ $⨯$	$6$ $6$	$5$ $5$
		$0$ $0$

Step 1.2

Multiply

5

$5$ by

0

$0$ and add the carried

1

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

65

$65$ .


	$0$ $0$	. $2$ $2$
$\times$ $⨯$	$6$ $6$	$5$ $5$
	$1$ $1$	$0$ $0$

Step 1.3

Multiply

6

$6$ by

2

$2$ . Place the ones digit

(2)

$(2)$ in the result line and carry the tens digit

(1)

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

65

$65$ .

	$1$ $1$
	$0$ $0$	. $2$ $2$
$\times$ $⨯$	$6$ $6$	$5$ $5$
	$1$ $1$	$0$ $0$
	$2$ $2$

Step 1.4

Multiply

6

$6$ by

0

$0$ and add the carried

1

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

65

$65$ .


	$0$ $0$	. $2$ $2$
$\times$ $⨯$	$6$ $6$	$5$ $5$
	$1$ $1$	$0$ $0$
$1$ $1$	$2$ $2$

Step 1.5

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


	$0$ $0$	. $2$ $2$
$\times$ $⨯$	$6$ $6$	$5$ $5$
	$1$ $1$	$0$ $0$
$1$ $1$	$2$ $2$
		$0$ $0$

Step 1.6

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

1 + 2

$1 + 2$ , then place the

3

$3$ in the result line.


	$0$ $0$	. $2$ $2$
$\times$ $⨯$	$6$ $6$	$5$ $5$
	$1$ $1$	$0$ $0$
$1$ $1$	$2$ $2$
	$3$ $3$	$0$ $0$

Step 1.7

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

0 + 1

$0 + 1$ , then place the

1

$1$ in the result line.


	$0$ $0$	. $2$ $2$
$\times$ $⨯$	$6$ $6$	$5$ $5$
	$1$ $1$	$0$ $0$
$1$ $1$	$2$ $2$
$1$ $1$	$3$ $3$	$0$ $0$


	$0$ $0$	. $2$ $2$
$\times$ $⨯$	$6$ $6$	$5$ $5$
	$1$ $1$	$0$ $0$
$1$ $1$	$2$ $2$
$1$ $1$	$3$ $3$	$0$ $0$

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

1

$1$ , so the answer must have

1

$1$ decimal places as well.

13

$13$