Algebra Examples

35 \cdot 4

$35 \cdot 4$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

4

$4$ by

5

$5$ . Place the ones digit

(0)

$(0)$ in the result line and carry the tens digit

(2)

$(2)$ . There is one result line for each digit in

4

$4$ .

	$2$ $2$
	$3$ $3$	$5$ $5$
$⨯$ $⨯$		$4$ $4$
		$0$ $0$

Step 1.2

Multiply

4

$4$ by

3

$3$ and add the carried

2

$2$ . Place the ones digit

(4)

$(4)$ in the result line and carry the tens digit

(1)

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

4

$4$ .


	$3$ $3$	$5$ $5$
$⨯$ $⨯$		$4$ $4$
$1$ $1$	$4$ $4$	$0$ $0$

Step 1.3

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

0

$0$ , then place the

0

$0$ in the result line.


	$3$ $3$	$5$ $5$
$⨯$ $⨯$		$4$ $4$
$1$ $1$	$4$ $4$	$0$ $0$
		$0$ $0$

Step 1.4

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

4

$4$ , then place the

4

$4$ in the result line.


	$3$ $3$	$5$ $5$
$⨯$ $⨯$		$4$ $4$
$1$ $1$	$4$ $4$	$0$ $0$
	$4$ $4$	$0$ $0$

Step 1.5

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

1

$1$ , then place the

1

$1$ in the result line.


	$3$ $3$	$5$ $5$
$⨯$ $⨯$		$4$ $4$
$1$ $1$	$4$ $4$	$0$ $0$
$1$ $1$	$4$ $4$	$0$ $0$


	$3$ $3$	$5$ $5$
$⨯$ $⨯$		$4$ $4$
$1$ $1$	$4$ $4$	$0$ $0$
$1$ $1$	$4$ $4$	$0$ $0$

Step 2

The result of

35 \cdot 4

$35 \cdot 4$ is

140

$140$ .

140

$140$

35 \cdot 4

$35 \cdot 4$

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