Finite Math Examples

v ⎛ ⎝ \frac{(2) (431 \cdot 10^{- 3}) (9.8)}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}} ⎞ ⎠

$v (\frac{(2) (431 \cdot 10^{- 3}) (9.8)}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}})$

Step 1

Multiply.

Tap for more steps...

Step 1.1

Multiply

2

$2$ by

431

$431$ .

v \frac{862 \cdot 10^{- 3} \cdot 9.8}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}

$v \frac{862 \cdot 10^{- 3} \cdot 9.8}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}$

Step 1.2

Multiply

862

$862$ by

9.8

$9.8$ .

v \frac{8447.6 \cdot 10^{- 3}}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}

$v \frac{8447.6 \cdot 10^{- 3}}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}$

v \frac{8447.6 \cdot 10^{- 3}}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}

$v \frac{8447.6 \cdot 10^{- 3}}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Move the decimal point in

8447.6

$8447.6$ to the left by

3

$3$ places and increase the power of

10^{- 3}

$10^{- 3}$ by

3

$3$ .

v \frac{8.4476 \cdot 10^{0}}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}

$v \frac{8.4476 \cdot 10^{0}}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}$

Step 2.2

Convert

8.4476 \cdot 10^{0}

$8.4476 \cdot 10^{0}$ from scientific notation.

v \frac{8.4476}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}

$v \frac{8.4476}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}$

v \frac{8.4476}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}

$v \frac{8.4476}{(3.14) (1.3) {(10.5 \cdot 10^{- 3})}^{2}}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Multiply

3.14

$3.14$ by

1.3

$1.3$ .

v \frac{8.4476}{4.082 {(10.5 \cdot 10^{- 3})}^{2}}

$v \frac{8.4476}{4.082 {(10.5 \cdot 10^{- 3})}^{2}}$

Step 3.2

Multiply

4.082

$4.082$ by

{(10.5 \cdot 10^{- 3})}^{2}

${(10.5 \cdot 10^{- 3})}^{2}$ .

v \frac{8.4476}{0.00045004}

$v \frac{8.4476}{0.00045004}$

v \frac{8.4476}{0.00045004}

$v \frac{8.4476}{0.00045004}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Divide

8.4476

$8.4476$ by

0.00045004

$0.00045004$ .

v \cdot 18770.75507648

$v \cdot 18770.75507648$

Step 4.2

Move

18770.75507648

$18770.75507648$ to the left of

v

$v$ .

18770.75507648 v

$18770.75507648 v$

18770.75507648 v

$18770.75507648 v$