Basic Math Examples

22 \cdot 3.14

$22 \cdot 3.14$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

4

$4$ by

2

$2$ . Place the result in the next column in the result line. There is one result line for each digit in

3.14

$3.14$ .


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

Step 1.2

Multiply

4

$4$ by

2

$2$ . Place the result in the next column in the result line. There is one result line for each digit in

3.14

$3.14$ .


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

Step 1.3

Multiply

1

$1$ by

2

$2$ . Place the result in the next column in the result line. There is one result line for each digit in

3.14

$3.14$ .


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

Step 1.4

Multiply

1

$1$ by

2

$2$ . Place the result in the next column in the result line. There is one result line for each digit in

3.14

$3.14$ .


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

Step 1.5

Multiply

3

$3$ by

2

$2$ . Place the result in the next column in the result line. There is one result line for each digit in

3.14

$3.14$ .


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

Step 1.6

Multiply

3

$3$ by

2

$2$ . Place the result in the next column in the result line. There is one result line for each digit in

3.14

$3.14$ .


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

Step 1.7

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

8 + 0 + 0

$8 + 0 + 0$ , then place the

8

$8$ in the result line.


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

Step 1.8

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

8 + 2 + 0

$8 + 2 + 0$ , then place the

0

$0$ in the result line and carry the

1

$1$ .


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

Step 1.9

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

0 + 2 + 6 + 1

$0 + 2 + 6 + 1$ , then place the

9

$9$ in the result line.


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

Step 1.10

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

0 + 0 + 6

$0 + 0 + 6$ , then place the

6

$6$ in the result line.


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


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

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.

69.08

$69.08$