Basic Math Examples

0.75 \cdot 25

$0.75 \cdot 25$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

5

$5$ by

5

$5$ . Place the ones digit

(5)

$(5)$ in the result line and carry the tens digit

(2)

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

25

$25$ .

		$2$ $2$
	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
			$5$ $5$

Step 1.2

Multiply

5

$5$ by

7

$7$ and add the carried

2

$2$ . Place the ones digit

(7)

$(7)$ in the result line and carry the tens digit

(3)

$(3)$ . There is one result line for each digit in the

25

$25$ .

	$3$ $3$	$2$ $2$
	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
		$7$ $7$	$5$ $5$

Step 1.3

Multiply

5

$5$ by

0

$0$ and add the carried

3

$3$ . Place the result in the next column in the result line. There is one result line for each digit in

25

$25$ .


	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
	$3$ $3$	$7$ $7$	$5$ $5$

Step 1.4

Multiply

2

$2$ by

5

$5$ . Place the ones digit

(0)

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

(1)

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

25

$25$ .

		$1$ $1$
	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
	$3$ $3$	$7$ $7$	$5$ $5$
		$0$ $0$

Step 1.5

Multiply

2

$2$ by

7

$7$ and add the carried

1

$1$ . Place the ones digit

(5)

$(5)$ in the result line and carry the tens digit

(1)

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

25

$25$ .

	$1$ $1$	$1$ $1$
	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
	$3$ $3$	$7$ $7$	$5$ $5$
	$5$ $5$	$0$ $0$

Step 1.6

Multiply

2

$2$ by

0

$0$ 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

25

$25$ .


	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
	$3$ $3$	$7$ $7$	$5$ $5$
$1$ $1$	$5$ $5$	$0$ $0$

Step 1.7

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

5 + 0

$5 + 0$ , then place the

5

$5$ in the result line.


	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
	$3$ $3$	$7$ $7$	$5$ $5$
$1$ $1$	$5$ $5$	$0$ $0$
			$5$ $5$

Step 1.8

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

7 + 0

$7 + 0$ , then place the

7

$7$ in the result line.


	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
	$3$ $3$	$7$ $7$	$5$ $5$
$1$ $1$	$5$ $5$	$0$ $0$
		$7$ $7$	$5$ $5$

Step 1.9

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

3 + 5

$3 + 5$ , then place the

8

$8$ in the result line.


	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
	$3$ $3$	$7$ $7$	$5$ $5$
$1$ $1$	$5$ $5$	$0$ $0$
	$8$ $8$	$7$ $7$	$5$ $5$

Step 1.10

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

0 + 1

$0 + 1$ , then place the

1

$1$ in the result line.


	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
	$3$ $3$	$7$ $7$	$5$ $5$
$1$ $1$	$5$ $5$	$0$ $0$
$1$ $1$	$8$ $8$	$7$ $7$	$5$ $5$


	$0$ $0$	. $7$ $7$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$5$ $5$
	$3$ $3$	$7$ $7$	$5$ $5$
$1$ $1$	$5$ $5$	$0$ $0$
$1$ $1$	$8$ $8$	$7$ $7$	$5$ $5$

Step 2

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of

2

$2$ , so the answer must have

2

$2$ decimal places as well.

18.75

$18.75$