Basic Math Examples

33.1 \cdot 1.8

$33.1 \cdot 1.8$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

8

$8$ by

1

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

1.8

$1.8$ .


	$3$ $3$	$3$ $3$	. $1$ $1$
$⨯$ $⨯$		$1$ $1$	. $8$ $8$
			$8$ $8$

Step 1.2

Multiply

8

$8$ by

3

$3$ . Place the ones digit

(4)

$(4)$ in the result line and carry the tens digit

(2)

$(2)$ . There is one result line for each digit in

1.8

$1.8$ .

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

Step 1.3

Multiply

8

$8$ by

3

$3$ and add the carried

2

$2$ . Place the ones digit

(6)

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

(2)

$(2)$ . There is one result line for each digit in the

1.8

$1.8$ .


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

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

1.8

$1.8$ .


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

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

1.8

$1.8$ .


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

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

1.8

$1.8$ .


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

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.


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

Step 1.8

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

4 + 1

$4 + 1$ , then place the

5

$5$ in the result line.


	$3$ $3$	$3$ $3$	. $1$ $1$
$⨯$ $⨯$		$1$ $1$	. $8$ $8$
$2$ $2$	$6$ $6$	$4$ $4$	$8$ $8$
$3$ $3$	$3$ $3$	$1$ $1$
		$5$ $5$	$8$ $8$

Step 1.9

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

6 + 3

$6 + 3$ , then place the

9

$9$ in the result line.


	$3$ $3$	$3$ $3$	. $1$ $1$
$⨯$ $⨯$		$1$ $1$	. $8$ $8$
$2$ $2$	$6$ $6$	$4$ $4$	$8$ $8$
$3$ $3$	$3$ $3$	$1$ $1$
	$9$ $9$	$5$ $5$	$8$ $8$

Step 1.10

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

2 + 3

$2 + 3$ , then place the

5

$5$ in the result line.


	$3$ $3$	$3$ $3$	. $1$ $1$
$⨯$ $⨯$		$1$ $1$	. $8$ $8$
$2$ $2$	$6$ $6$	$4$ $4$	$8$ $8$
$3$ $3$	$3$ $3$	$1$ $1$
$5$ $5$	$9$ $9$	$5$ $5$	$8$ $8$


	$3$ $3$	$3$ $3$	. $1$ $1$
$⨯$ $⨯$		$1$ $1$	. $8$ $8$
$2$ $2$	$6$ $6$	$4$ $4$	$8$ $8$
$3$ $3$	$3$ $3$	$1$ $1$
$5$ $5$	$9$ $9$	$5$ $5$	$8$ $8$

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.

59.58

$59.58$