Algebra Examples

21 \cdot 5

$21 \cdot 5$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

5

$5$ by

1

$1$ . Place the result in the next column in the result line. There is one result line for each digit in

5

$5$ .


	$2$ $2$	$1$ $1$
$⨯$ $⨯$		$5$ $5$
		$5$ $5$

Step 1.2

Multiply

5

$5$ by

2

$2$ . 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

5

$5$ .


	$2$ $2$	$1$ $1$
$⨯$ $⨯$		$5$ $5$
$1$ $1$	$0$ $0$	$5$ $5$

Step 1.3

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

5

$5$ , then place the

5

$5$ in the result line.


	$2$ $2$	$1$ $1$
$⨯$ $⨯$		$5$ $5$
$1$ $1$	$0$ $0$	$5$ $5$
		$5$ $5$

Step 1.4

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

0

$0$ , then place the

0

$0$ in the result line.


	$2$ $2$	$1$ $1$
$⨯$ $⨯$		$5$ $5$
$1$ $1$	$0$ $0$	$5$ $5$
	$0$ $0$	$5$ $5$

Step 1.5

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

1

$1$ , then place the

1

$1$ in the result line.


	$2$ $2$	$1$ $1$
$⨯$ $⨯$		$5$ $5$
$1$ $1$	$0$ $0$	$5$ $5$
$1$ $1$	$0$ $0$	$5$ $5$


	$2$ $2$	$1$ $1$
$⨯$ $⨯$		$5$ $5$
$1$ $1$	$0$ $0$	$5$ $5$
$1$ $1$	$0$ $0$	$5$ $5$

Step 2

The result of

21 \cdot 5

$21 \cdot 5$ is

105

$105$ .

105

$105$

21 \cdot 5

$21 \cdot 5$

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