Basic Math Examples

32 \cdot 49

$32 \cdot 49$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

9

$9$ by

2

$2$ . Place the ones digit

(8)

$(8)$ in the result line and carry the tens digit

(1)

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

49

$49$ .

	$1$ $1$
	$3$ $3$	$2$ $2$
$\times$ $⨯$	$4$ $4$	$9$ $9$
		$8$ $8$

Step 1.2

Multiply

9

$9$ by

3

$3$ and add the carried

1

$1$ . Place the ones digit

(8)

$(8)$ in the result line and carry the tens digit

(2)

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

49

$49$ .


	$3$ $3$	$2$ $2$
$\times$ $⨯$	$4$ $4$	$9$ $9$
$2$ $2$	$8$ $8$	$8$ $8$

Step 1.3

Multiply

4

$4$ by

2

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

49

$49$ .


	$3$ $3$	$2$ $2$
$\times$ $⨯$	$4$ $4$	$9$ $9$
$2$ $2$	$8$ $8$	$8$ $8$
	$8$ $8$

Step 1.4

Multiply

4

$4$ by

3

$3$ . 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

49

$49$ .


		$3$ $3$	$2$ $2$
	$\times$ $⨯$	$4$ $4$	$9$ $9$
	$2$ $2$	$8$ $8$	$8$ $8$
$1$ $1$	$2$ $2$	$8$ $8$

Step 1.5

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

8 + 0

$8 + 0$ , then place the

8

$8$ in the result line.


		$3$ $3$	$2$ $2$
	$\times$ $⨯$	$4$ $4$	$9$ $9$
	$2$ $2$	$8$ $8$	$8$ $8$
$1$ $1$	$2$ $2$	$8$ $8$
			$8$ $8$

Step 1.6

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

8 + 8

$8 + 8$ , then place the

6

$6$ in the result line and carry the

1

$1$ .


		$3$ $3$	$2$ $2$
	$\times$ $⨯$	$4$ $4$	$9$ $9$
	$2$ $2$	$8$ $8$	$8$ $8$
$1$ $1$	$2$ $2$	$8$ $8$
		$6$ $6$	$8$ $8$

Step 1.7

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

2 + 2 + 1

$2 + 2 + 1$ , then place the

5

$5$ in the result line.


		$3$ $3$	$2$ $2$
	$\times$ $⨯$	$4$ $4$	$9$ $9$
	$2$ $2$	$8$ $8$	$8$ $8$
$1$ $1$	$2$ $2$	$8$ $8$
	$5$ $5$	$6$ $6$	$8$ $8$

Step 1.8

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

0 + 1

$0 + 1$ , then place the

1

$1$ in the result line.


		$3$ $3$	$2$ $2$
	$\times$ $⨯$	$4$ $4$	$9$ $9$
	$2$ $2$	$8$ $8$	$8$ $8$
$1$ $1$	$2$ $2$	$8$ $8$
$1$ $1$	$5$ $5$	$6$ $6$	$8$ $8$


		$3$ $3$	$2$ $2$
	$\times$ $⨯$	$4$ $4$	$9$ $9$
	$2$ $2$	$8$ $8$	$8$ $8$
$1$ $1$	$2$ $2$	$8$ $8$
$1$ $1$	$5$ $5$	$6$ $6$	$8$ $8$

Step 2

The result of

32 \cdot 49

$32 \cdot 49$ is

1568

$1568$ .

1568

$1568$