Basic Math Examples

15 \cdot 30

$15 \cdot 30$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

0

$0$ by

5

$5$ . Place the result in the next column in the result line. There is one result line for each digit in

30

$30$ .


	$1$ $1$	$5$ $5$
$⨯$ $⨯$	$3$ $3$	$0$ $0$
		$0$ $0$

Step 1.2

Multiply

0

$0$ by

1

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

30

$30$ .


	$1$ $1$	$5$ $5$
$⨯$ $⨯$	$3$ $3$	$0$ $0$
	$0$ $0$	$0$ $0$

Step 1.3

Multiply

3

$3$ by

5

$5$ . Place the ones digit

(5)

$(5)$ in the result line and carry the tens digit

(1)

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

30

$30$ .

	$1$ $1$
	$1$ $1$	$5$ $5$
$⨯$ $⨯$	$3$ $3$	$0$ $0$
	$0$ $0$	$0$ $0$
	$5$ $5$

Step 1.4

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

30

$30$ .


	$1$ $1$	$5$ $5$
$⨯$ $⨯$	$3$ $3$	$0$ $0$
	$0$ $0$	$0$ $0$
$4$ $4$	$5$ $5$

Step 1.5

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


	$1$ $1$	$5$ $5$
$⨯$ $⨯$	$3$ $3$	$0$ $0$
	$0$ $0$	$0$ $0$
$4$ $4$	$5$ $5$
		$0$ $0$

Step 1.6

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

0 + 5

$0 + 5$ , then place the

5

$5$ in the result line.


	$1$ $1$	$5$ $5$
$⨯$ $⨯$	$3$ $3$	$0$ $0$
	$0$ $0$	$0$ $0$
$4$ $4$	$5$ $5$
	$5$ $5$	$0$ $0$

Step 1.7

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

0 + 4

$0 + 4$ , then place the

4

$4$ in the result line.


	$1$ $1$	$5$ $5$
$⨯$ $⨯$	$3$ $3$	$0$ $0$
	$0$ $0$	$0$ $0$
$4$ $4$	$5$ $5$
$4$ $4$	$5$ $5$	$0$ $0$


	$1$ $1$	$5$ $5$
$⨯$ $⨯$	$3$ $3$	$0$ $0$
	$0$ $0$	$0$ $0$
$4$ $4$	$5$ $5$
$4$ $4$	$5$ $5$	$0$ $0$

Step 2

The result of

15 \cdot 30

$15 \cdot 30$ is

450

$450$ .

450

$450$