Basic Math Examples

3.14 \cdot 12

$3.14 \cdot 12$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

2

$2$ by

4

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

12

$12$ .


	$3$ $3$	. $1$ $1$	$4$ $4$
$\times$ $⨯$		$1$ $1$	$2$ $2$
			$8$ $8$

Step 1.2

Multiply

2

$2$ by

1

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

12

$12$ .


	$3$ $3$	. $1$ $1$	$4$ $4$
$\times$ $⨯$		$1$ $1$	$2$ $2$
		$2$ $2$	$8$ $8$

Step 1.3

Multiply

2

$2$ by

3

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

12

$12$ .


	$3$ $3$	. $1$ $1$	$4$ $4$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$6$ $6$	$2$ $2$	$8$ $8$

Step 1.4

Multiply

1

$1$ by

4

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

12

$12$ .


	$3$ $3$	. $1$ $1$	$4$ $4$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$6$ $6$	$2$ $2$	$8$ $8$
		$4$ $4$

Step 1.5

Multiply

1

$1$ by

1

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

12

$12$ .


	$3$ $3$	. $1$ $1$	$4$ $4$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$6$ $6$	$2$ $2$	$8$ $8$
	$1$ $1$	$4$ $4$

Step 1.6

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

$12$ .


	$3$ $3$	. $1$ $1$	$4$ $4$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$6$ $6$	$2$ $2$	$8$ $8$
$3$ $3$	$1$ $1$	$4$ $4$

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.


	$3$ $3$	. $1$ $1$	$4$ $4$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$6$ $6$	$2$ $2$	$8$ $8$
$3$ $3$	$1$ $1$	$4$ $4$
			$8$ $8$

Step 1.8

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

2 + 4

$2 + 4$ , then place the

6

$6$ in the result line.


	$3$ $3$	. $1$ $1$	$4$ $4$
$\times$ $⨯$		$1$ $1$	$2$ $2$
	$6$ $6$	$2$ $2$	$8$ $8$
$3$ $3$	$1$ $1$	$4$ $4$
		$6$ $6$	$8$ $8$

Step 1.9

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

6 + 1

$6 + 1$ , then place the

7

$7$ in the result line.


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

Step 1.10

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

0 + 3

$0 + 3$ , then place the

3

$3$ in the result line.


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


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

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.

37.68

$37.68$