Basic Math Examples

14 \cdot 3.14

$14 \cdot 3.14$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

4

$4$ by

4

$4$ . Place the ones digit

(6)

$(6)$ in the result line and carry the tens digit

(1)

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

3.14

$3.14$ .

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

Step 1.2

Multiply

4

$4$ by

1

$1$ 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

3.14

$3.14$ .


		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$

Step 1.3

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

3.14

$3.14$ .


		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$
		$4$ $4$

Step 1.4

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

3.14

$3.14$ .


		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$
	$1$ $1$	$4$ $4$

Step 1.5

Multiply

3

$3$ by

4

$4$ . 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

3.14

$3.14$ .

		$1$ $1$
		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$
	$1$ $1$	$4$ $4$
	$2$ $2$

Step 1.6

Multiply

3

$3$ by

1

$1$ 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

3.14

$3.14$ .


		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$
	$1$ $1$	$4$ $4$
$4$ $4$	$2$ $2$

Step 1.7

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

6 + 0 + 0

$6 + 0 + 0$ , then place the

6

$6$ in the result line.


		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$
	$1$ $1$	$4$ $4$
$4$ $4$	$2$ $2$
			$6$ $6$

Step 1.8

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

5 + 4 + 0

$5 + 4 + 0$ , then place the

9

$9$ in the result line.


		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$
	$1$ $1$	$4$ $4$
$4$ $4$	$2$ $2$
		$9$ $9$	$6$ $6$

Step 1.9

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

0 + 1 + 2

$0 + 1 + 2$ , then place the

3

$3$ in the result line.


		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$
	$1$ $1$	$4$ $4$
$4$ $4$	$2$ $2$
	$3$ $3$	$9$ $9$	$6$ $6$

Step 1.10

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

0 + 0 + 4

$0 + 0 + 4$ , then place the

4

$4$ in the result line.


		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$
	$1$ $1$	$4$ $4$
$4$ $4$	$2$ $2$
$4$ $4$	$3$ $3$	$9$ $9$	$6$ $6$


		$1$ $1$	$4$ $4$
$\times$ $⨯$	$3$ $3$	. $1$ $1$	$4$ $4$
		$5$ $5$	$6$ $6$
	$1$ $1$	$4$ $4$
$4$ $4$	$2$ $2$
$4$ $4$	$3$ $3$	$9$ $9$	$6$ $6$

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.

43.96

$43.96$