Basic Math Examples

15 \cdot 27

$15 \cdot 27$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

7

$7$ by

5

$5$ . Place the ones digit

(5)

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

(3)

$(3)$ . There is one result line for each digit in

27

$27$ .

	$3$ $3$
	$1$ $1$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$7$ $7$
		$5$ $5$

Step 1.2

Multiply

7

$7$ by

1

$1$ and add the carried

3

$3$ . Place the ones digit

(0)

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

(1)

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

27

$27$ .


	$1$ $1$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$7$ $7$
$1$ $1$	$0$ $0$	$5$ $5$

Step 1.3

Multiply

2

$2$ by

5

$5$ . Place the ones digit

(0)

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

(1)

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

27

$27$ .

	$1$ $1$
	$1$ $1$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$7$ $7$
$1$ $1$	$0$ $0$	$5$ $5$
	$0$ $0$

Step 1.4

Multiply

2

$2$ 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

27

$27$ .


	$1$ $1$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$7$ $7$
$1$ $1$	$0$ $0$	$5$ $5$
$3$ $3$	$0$ $0$

Step 1.5

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

5 + 0

$5 + 0$ , then place the

5

$5$ in the result line.


	$1$ $1$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$7$ $7$
$1$ $1$	$0$ $0$	$5$ $5$
$3$ $3$	$0$ $0$
		$5$ $5$

Step 1.6

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


	$1$ $1$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$7$
$1$	$0$	$5$
$3$	$0$
	$0$	$5$

Step 1.7

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

$1 + 3$ , then place the

$4$ in the result line.


	$1$	$5$
$⨯$	$2$	$7$
$1$	$0$	$5$
$3$	$0$
$4$	$0$	$5$


	$1$	$5$
$⨯$	$2$	$7$
$1$	$0$	$5$
$3$	$0$
$4$	$0$	$5$

Step 2

The result of

$15 \cdot 27$ is

$405$ .

$405$