Calculus Examples

60 \cdot 20

$60 \cdot 20$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

0

$0$ by

0

$0$ . Place the result in the next column in the result line. There is one result line for each digit in

20

$20$ .


	$6$ $6$	$0$ $0$
$⨯$ $⨯$	$2$ $2$	$0$ $0$
		$0$ $0$

Step 1.2

Multiply

0

$0$ by

6

$6$ . Place the result in the next column in the result line. There is one result line for each digit in

20

$20$ .


	$6$ $6$	$0$ $0$
$⨯$ $⨯$	$2$ $2$	$0$ $0$
	$0$ $0$	$0$ $0$

Step 1.3

Multiply

2

$2$ by

0

$0$ . Place the result in the next column in the result line. There is one result line for each digit in

20

$20$ .


	$6$ $6$	$0$ $0$
$⨯$ $⨯$	$2$ $2$	$0$ $0$
	$0$ $0$	$0$ $0$
	$0$ $0$

Step 1.4

Multiply

2

$2$ by

6

$6$ . 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

20

$20$ .


		$6$ $6$	$0$ $0$
	$⨯$ $⨯$	$2$ $2$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$2$ $2$	$0$ $0$

Step 1.5

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


		$6$ $6$	$0$ $0$
	$⨯$ $⨯$	$2$ $2$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$2$ $2$	$0$ $0$
			$0$ $0$

Step 1.6

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


		$6$ $6$	$0$ $0$
	$⨯$ $⨯$	$2$ $2$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$2$ $2$	$0$ $0$
		$0$ $0$	$0$ $0$

Step 1.7

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

0 + 2

$0 + 2$ , then place the

2

$2$ in the result line.


		$6$ $6$	$0$ $0$
	$⨯$ $⨯$	$2$ $2$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$2$ $2$	$0$ $0$
	$2$ $2$	$0$ $0$	$0$ $0$

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.


		$6$ $6$	$0$ $0$
	$⨯$ $⨯$	$2$ $2$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$2$ $2$	$0$ $0$
$1$ $1$	$2$ $2$	$0$ $0$	$0$ $0$


		$6$ $6$	$0$ $0$
	$⨯$ $⨯$	$2$ $2$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$2$ $2$	$0$ $0$
$1$ $1$	$2$ $2$	$0$ $0$	$0$ $0$

Step 2

The result of

60 \cdot 20

$60 \cdot 20$ is

1200

$1200$ .

1200

$1200$