Basic Math Examples

0.39 \cdot 12

$0.39 \cdot 12$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

2

$2$ by

9

$9$ . Place the ones digit

(8)

$(8)$ in the result line and carry the tens digit

(1)

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

12

$12$ .

		$1$ $1$
	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
			$8$ $8$

Step 1.2

Multiply

2

$2$ by

3

$3$ 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

12

$12$ .

		$1$ $1$
	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
		$7$ $7$	$8$ $8$

Step 1.3

Multiply

2

$2$ by

0

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

12

$12$ .


	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$0$ $0$	$7$ $7$	$8$ $8$

Step 1.4

Multiply

1

$1$ by

9

$9$ . Place the result in the next column in the result line. There is one result line for each digit in

12

$12$ .


	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$0$ $0$	$7$ $7$	$8$ $8$
		$9$ $9$

Step 1.5

Multiply

1

$1$ by

3

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

12

$12$ .


	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$0$ $0$	$7$ $7$	$8$ $8$
	$3$ $3$	$9$ $9$

Step 1.6

Multiply

1

$1$ by

0

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

12

$12$ .


	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$0$ $0$	$7$ $7$	$8$ $8$
$0$ $0$	$3$ $3$	$9$ $9$

Step 1.7

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

8 + 0

$8 + 0$ , then place the

8

$8$ in the result line.


	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$0$ $0$	$7$ $7$	$8$ $8$
$0$ $0$	$3$ $3$	$9$ $9$
			$8$ $8$

Step 1.8

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

7 + 9

$7 + 9$ , then place the

6

$6$ in the result line and carry the

1

$1$ .


	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$0$ $0$	$7$ $7$	$8$ $8$
$0$ $0$	$3$ $3$	$9$ $9$
		$6$ $6$	$8$ $8$

Step 1.9

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

0 + 3 + 1

$0 + 3 + 1$ , then place the

4

$4$ in the result line.


	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$0$ $0$	$7$ $7$	$8$ $8$
$0$ $0$	$3$ $3$	$9$ $9$
	$4$ $4$	$6$ $6$	$8$ $8$


	$0$ $0$	. $3$ $3$	$9$ $9$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$0$ $0$	$7$ $7$	$8$ $8$
$0$ $0$	$3$ $3$	$9$ $9$
	$4$ $4$	$6$ $6$	$8$ $8$

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

$2$ , so the answer must have

2

$2$ decimal places as well.

4.68

$4.68$