Finite Math Examples

$\frac{3.5 (10^{9})}{7.5} = r$

Step 1

Rewrite the equation as $r = \frac{3.5 \cdot 10^{9}}{7.5}$ .

$r = \frac{3.5 \cdot 10^{9}}{7.5}$

Step 2

Simplify $\frac{3.5 \cdot 10^{9}}{7.5}$ .

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Step 2.1

Divide using scientific notation.

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Step 2.1.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$r = (\frac{3.5}{7.5}) (\frac{10^{9}}{1})$

Step 2.1.2

Divide $3.5$ by $7.5$ .

$r = 0.4\overline{6} \frac{10^{9}}{1}$

Step 2.1.3

Divide $10^{9}$ by $1$ .

$r = 0.4\overline{6} \cdot 10^{9}$

Step 2.2

Move the decimal point in $0.4\overline{6}$ to the right by $1$ place and decrease the power of $10^{9}$ by $1$ .

$r = 4.\overline{6} \cdot 10^{8}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$r = 4.\overline{6} \cdot 10^{8}$

Expanded Form:

$r = 466666666.666667$