Algebra Examples

18 \cdot 7

$18 \cdot 7$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

7

$7$ by

8

$8$ . Place the ones digit

(6)

$(6)$ in the result line and carry the tens digit

(5)

$(5)$ . There is one result line for each digit in

7

$7$ .

	$5$ $5$
	$1$ $1$	$8$ $8$
$⨯$ $⨯$		$7$ $7$
		$6$ $6$

Step 1.2

Multiply

7

$7$ by

1

$1$ and add the carried

5

$5$ . Place the ones digit

(2)

$(2)$ in the result line and carry the tens digit

(1)

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

7

$7$ .


	$1$ $1$	$8$ $8$
$⨯$ $⨯$		$7$ $7$
$1$ $1$	$2$ $2$	$6$ $6$

Step 1.3

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

6

$6$ , then place the

6

$6$ in the result line.


	$1$ $1$	$8$ $8$
$⨯$ $⨯$		$7$ $7$
$1$ $1$	$2$ $2$	$6$ $6$
		$6$ $6$

Step 1.4

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

2

$2$ , then place the

2

$2$ in the result line.


	$1$ $1$	$8$ $8$
$⨯$ $⨯$		$7$ $7$
$1$ $1$	$2$ $2$	$6$ $6$
	$2$ $2$	$6$ $6$

Step 1.5

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

1

$1$ , then place the

1

$1$ in the result line.


	$1$ $1$	$8$ $8$
$⨯$ $⨯$		$7$ $7$
$1$ $1$	$2$ $2$	$6$ $6$
$1$ $1$	$2$ $2$	$6$ $6$


	$1$ $1$	$8$ $8$
$⨯$ $⨯$		$7$ $7$
$1$ $1$	$2$ $2$	$6$ $6$
$1$ $1$	$2$ $2$	$6$ $6$

Step 2

The result of

18 \cdot 7

$18 \cdot 7$ is

126

$126$ .

126

$126$

18 \cdot 7

$18 \cdot 7$

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