Basic Math Examples

38 \cdot 27

$38 \cdot 27$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

7

$7$ by

8

$8$ . Place the ones digit

(6)

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

(5)

$(5)$ . There is one result line for each digit in

27

$27$ .

	$5$ $5$
	$3$ $3$	$8$ $8$
$⨯$ $⨯$	$2$ $2$	$7$ $7$
		$6$ $6$

Step 1.2

Multiply

7

$7$ by

3

$3$ and add the carried

5

$5$ . Place the ones digit

(6)

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

(2)

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

27

$27$ .


	$3$ $3$	$8$ $8$
$⨯$ $⨯$	$2$ $2$	$7$ $7$
$2$ $2$	$6$ $6$	$6$ $6$

Step 1.3

Multiply

2

$2$ by

8

$8$ . 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

27

$27$ .

	$1$ $1$
	$3$ $3$	$8$ $8$
$⨯$ $⨯$	$2$ $2$	$7$ $7$
$2$ $2$	$6$ $6$	$6$ $6$
	$6$ $6$

Step 1.4

Multiply

2

$2$ by

3

$3$ 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

27

$27$ .


	$3$ $3$	$8$ $8$
$⨯$ $⨯$	$2$ $2$	$7$ $7$
$2$ $2$	$6$ $6$	$6$ $6$
$7$ $7$	$6$ $6$

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.


	$3$ $3$	$8$ $8$
$⨯$ $⨯$	$2$ $2$	$7$ $7$
$2$ $2$	$6$ $6$	$6$ $6$
$7$ $7$	$6$ $6$
		$6$ $6$

Step 1.6

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

6 + 6

$6 + 6$ , then place the

2

$2$ in the result line and carry the

1

$1$ .


	$3$ $3$	$8$ $8$
$⨯$ $⨯$	$2$ $2$	$7$ $7$
$2$ $2$	$6$ $6$	$6$ $6$
$7$ $7$	$6$ $6$
	$2$ $2$	$6$ $6$

Step 1.7

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

2 + 7 + 1

$2 + 7 + 1$ , then place the

0

$0$ in the result line and carry the

1

$1$ .


		$3$ $3$	$8$ $8$
	$⨯$ $⨯$	$2$ $2$	$7$ $7$
	$2$ $2$	$6$ $6$	$6$ $6$
	$7$ $7$	$6$ $6$
$1$ $1$	$0$ $0$	$2$ $2$	$6$ $6$


		$3$ $3$	$8$ $8$
	$⨯$ $⨯$	$2$ $2$	$7$ $7$
	$2$ $2$	$6$ $6$	$6$ $6$
	$7$ $7$	$6$ $6$
$1$ $1$	$0$ $0$	$2$ $2$	$6$ $6$

Step 2

The result of

38 \cdot 27

$38 \cdot 27$ is

1026

$1026$ .

1026

$1026$