Algebra Examples

24 \cdot 24

$24 \cdot 24$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

4

$4$ by

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

24

$24$ .

	$1$ $1$
	$2$ $2$	$4$ $4$
$⨯$ $⨯$	$2$ $2$	$4$ $4$
		$6$ $6$

Step 1.2

Multiply

4

$4$ by

2

$2$ and add the carried

1

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

24

$24$ .


	$2$ $2$	$4$ $4$
$⨯$ $⨯$	$2$ $2$	$4$ $4$
	$9$ $9$	$6$ $6$

Step 1.3

Multiply

2

$2$ by

4

$4$ . Place the result in the next column in the result line. There is one result line for each digit in

24

$24$ .


	$2$ $2$	$4$ $4$
$⨯$ $⨯$	$2$ $2$	$4$ $4$
	$9$ $9$	$6$ $6$
	$8$ $8$

Step 1.4

Multiply

2

$2$ by

2

$2$ . Place the result in the next column in the result line. There is one result line for each digit in

24

$24$ .


	$2$ $2$	$4$ $4$
$⨯$ $⨯$	$2$ $2$	$4$ $4$
	$9$ $9$	$6$ $6$
$4$ $4$	$8$ $8$

Step 1.5

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

6 + 0

$6 + 0$ , then place the

6

$6$ in the result line.


	$2$ $2$	$4$ $4$
$⨯$ $⨯$	$2$ $2$	$4$ $4$
	$9$ $9$	$6$ $6$
$4$ $4$	$8$ $8$
		$6$ $6$

Step 1.6

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

9 + 8

$9 + 8$ , then place the

7

$7$ in the result line and carry the

1

$1$ .


	$2$ $2$	$4$ $4$
$⨯$ $⨯$	$2$ $2$	$4$ $4$
	$9$ $9$	$6$ $6$
$4$ $4$	$8$ $8$
	$7$ $7$	$6$ $6$

Step 1.7

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

0 + 4 + 1

$0 + 4 + 1$ , then place the

5

$5$ in the result line.


	$2$ $2$	$4$ $4$
$⨯$ $⨯$	$2$ $2$	$4$ $4$
	$9$ $9$	$6$ $6$
$4$ $4$	$8$ $8$
$5$ $5$	$7$ $7$	$6$ $6$


	$2$ $2$	$4$ $4$
$⨯$ $⨯$	$2$ $2$	$4$ $4$
	$9$ $9$	$6$ $6$
$4$ $4$	$8$ $8$
$5$ $5$	$7$ $7$	$6$ $6$

Step 2

The result of

24 \cdot 24

$24 \cdot 24$ is

576

$576$ .

576

$576$