Basic Math Examples

33.5 \cdot 4

$33.5 \cdot 4$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

4

$4$ by

5

$5$ . Place the ones digit

(0)

$(0)$ in the result line and carry the tens digit

(2)

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

4

$4$ .

		$2$ $2$
	$3$ $3$	$3$ $3$	. $5$ $5$
$\times$ $⨯$			$4$ $4$
			$0$ $0$

Step 1.2

Multiply

4

$4$ by

3

$3$ and add the carried

2

$2$ . Place the ones digit

(4)

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

(1)

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

4

$4$ .

	$1$ $1$	$2$ $2$
	$3$ $3$	$3$ $3$	. $5$ $5$
$\times$ $⨯$			$4$ $4$
		$4$ $4$	$0$ $0$

Step 1.3

Multiply

4

$4$ by

3

$3$ and add the carried

1

$1$ . Place the ones digit

(3)

$(3)$ in the result line and carry the tens digit

(1)

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

4

$4$ .


	$3$ $3$	$3$ $3$	. $5$ $5$
$\times$ $⨯$			$4$ $4$
$1$ $1$	$3$ $3$	$4$ $4$	$0$ $0$

Step 1.4

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

0

$0$ , then place the

0

$0$ in the result line.


	$3$ $3$	$3$ $3$	. $5$ $5$
$\times$ $⨯$			$4$ $4$
$1$ $1$	$3$ $3$	$4$ $4$	$0$ $0$
			$0$ $0$

Step 1.5

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

4

$4$ , then place the

4

$4$ in the result line.


	$3$ $3$	$3$ $3$	. $5$ $5$
$\times$ $⨯$			$4$ $4$
$1$ $1$	$3$ $3$	$4$ $4$	$0$ $0$
		$4$ $4$	$0$ $0$

Step 1.6

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

3

$3$ , then place the

3

$3$ in the result line.


	$3$ $3$	$3$ $3$	. $5$ $5$
$\times$ $⨯$			$4$ $4$
$1$ $1$	$3$ $3$	$4$ $4$	$0$ $0$
	$3$ $3$	$4$ $4$	$0$ $0$

Step 1.7

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

1

$1$ , then place the

1

$1$ in the result line.


	$3$ $3$	$3$ $3$	. $5$ $5$
$\times$ $⨯$			$4$ $4$
$1$ $1$	$3$ $3$	$4$ $4$	$0$ $0$
$1$ $1$	$3$ $3$	$4$ $4$	$0$ $0$


	$3$ $3$	$3$ $3$	. $5$ $5$
$\times$ $⨯$			$4$ $4$
$1$ $1$	$3$ $3$	$4$ $4$	$0$ $0$
$1$ $1$	$3$ $3$	$4$ $4$	$0$ $0$

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

1

$1$ , so the answer must have

1

$1$ decimal places as well.

134

$134$