Finite Math Examples

$\frac{4 \cdot 10^{3} + 5600}{4.8 \cdot 10^{- 5}}$

Step 1

Convert $5600$ to scientific notation.

$\frac{4 \cdot 10^{3} + 5.6 \cdot 10^{3}}{4.8 \cdot 10^{- 5}}$

Step 2

Factor $10^{3}$ out of $4 \cdot 10^{3} + 5.6 \cdot 10^{3}$ .

$\frac{(4 + 5.6) \cdot 10^{3}}{4.8 \cdot 10^{- 5}}$

Step 3

Add $4$ and $5.6$ .

$\frac{9.6 \cdot 10^{3}}{4.8 \cdot 10^{- 5}}$

Step 4

Divide using scientific notation.

Tap for more steps...

Step 4.1

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

$(\frac{9.6}{4.8}) (\frac{10^{3}}{10^{- 5}})$

Step 4.2

Divide $9.6$ by $4.8$ .

$2 \frac{10^{3}}{10^{- 5}}$

Step 4.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$2 \cdot 10^{3 - 5 \cdot - 1}$

Step 4.4

Multiply $- 5$ by $- 1$ .

$2 \cdot 10^{3 + 5}$

Step 4.5

Add $3$ and $5$ .

$2 \cdot 10^{8}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

$2 \cdot 10^{8}$

Expanded Form:

$200000000$