Algebra Examples

27 \cdot 6

$27 \cdot 6$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

6

$6$ by

7

$7$ . Place the ones digit

(2)

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

(4)

$(4)$ . There is one result line for each digit in

6

$6$ .

	$4$ $4$
	$2$ $2$	$7$ $7$
$⨯$ $⨯$		$6$ $6$
		$2$ $2$

Step 1.2

Multiply

6

$6$ by

2

$2$ and add the carried

4

$4$ . Place the ones digit

(6)

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

(1)

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

6

$6$ .


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

Step 1.3

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

2

$2$ , then place the

2

$2$ in the result line.


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

Step 1.4

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

6

$6$ , then place the

6

$6$ in the result line.


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

Step 1.5

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

1

$1$ , then place the

1

$1$ in the result line.


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


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

Step 2

The result of

27 \cdot 6

$27 \cdot 6$ is

162

$162$ .

162

$162$

27 \cdot 6

$27 \cdot 6$

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