Basic Math Examples

- 15 \cdot 17

$- 15 \cdot 17$

Step 1

Multiply using long multiplication.

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Step 1.1

Factor out a

- 1

$- 1$ .

- (15 \cdot 17)

$- (15 \cdot 17)$

Step 1.2

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

17

$17$ .

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

Step 1.3

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

17

$17$ .


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

Step 1.4

Multiply

1

$1$ by

5

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

17

$17$ .


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

Step 1.5

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

17

$17$ .


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

Step 1.6

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

5 + 0

$5 + 0$ , then place the

5

$5$ in the result line.


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

Step 1.7

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

0 + 5

$0 + 5$ , then place the

5

$5$ in the result line.


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

Step 1.8

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

1 + 1

$1 + 1$ , then place the

2

$2$ in the result line.


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


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

Step 2

The result of

15 \cdot 17

$15 \cdot 17$ is

255

$255$ .

255

$255$

Step 3

Multiply

255

$255$ by

- 1

$- 1$ .

- 255

$- 255$