Basic Math Examples

17 \cdot 15

$17 \cdot 15$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

5

$5$ by

7

$7$ . 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

15

$15$ .

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

Step 1.2

Multiply

5

$5$ by

1

$1$ and add the carried

3

$3$ . Place the result in the next column in the result line. There is one result line for each digit in

15

$15$ .


	$1$ $1$	$7$ $7$
$\times$ $⨯$	$1$ $1$	$5$ $5$
	$8$ $8$	$5$ $5$

Step 1.3

Multiply

1

$1$ by

7

$7$ . Place the result in the next column in the result line. There is one result line for each digit in

15

$15$ .


	$1$ $1$	$7$ $7$
$\times$ $⨯$	$1$ $1$	$5$ $5$
	$8$ $8$	$5$ $5$
	$7$ $7$

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

15

$15$ .


	$1$ $1$	$7$ $7$
$\times$ $⨯$	$1$ $1$	$5$ $5$
	$8$ $8$	$5$ $5$
$1$ $1$	$7$ $7$

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.


	$1$ $1$	$7$ $7$
$\times$ $⨯$	$1$ $1$	$5$ $5$
	$8$ $8$	$5$ $5$
$1$ $1$	$7$ $7$
		$5$ $5$

Step 1.6

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

8 + 7

$8 + 7$ , then place the

5

$5$ in the result line and carry the

1

$1$ .


	$1$ $1$	$7$ $7$
$\times$ $⨯$	$1$ $1$	$5$ $5$
	$8$ $8$	$5$ $5$
$1$ $1$	$7$ $7$
	$5$ $5$	$5$ $5$

Step 1.7

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

0 + 1 + 1

$0 + 1 + 1$ , then place the

2

$2$ in the result line.


	$1$ $1$	$7$ $7$
$\times$ $⨯$	$1$ $1$	$5$ $5$
	$8$ $8$	$5$ $5$
$1$ $1$	$7$ $7$
$2$ $2$	$5$ $5$	$5$ $5$


	$1$ $1$	$7$ $7$
$\times$ $⨯$	$1$ $1$	$5$ $5$
	$8$ $8$	$5$ $5$
$1$ $1$	$7$ $7$
$2$ $2$	$5$ $5$	$5$ $5$

Step 2

The result of

17 \cdot 15

$17 \cdot 15$ is

255

$255$ .

255

$255$