Finite Math Examples

$\frac{1.5 \cdot 10^{- 8}}{5 \cdot 10^{- 7}}$

Step 1

Divide using scientific notation.

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Step 1.1

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

$(\frac{1.5}{5}) (\frac{10^{- 8}}{10^{- 7}})$

Step 1.2

Divide $1.5$ by $5$ .

$0.3 \frac{10^{- 8}}{10^{- 7}}$

Step 1.3

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

$0.3 \cdot 10^{- 8 - 7 \cdot - 1}$

Step 1.4

Multiply $- 7$ by $- 1$ .

$0.3 \cdot 10^{- 8 + 7}$

Step 1.5

Add $- 8$ and $7$ .

$0.3 \cdot 10^{- 1}$

Step 2

Move the decimal point in $0.3$ to the right by $1$ place and decrease the power of $10^{- 1}$ by $1$ .

$3 \cdot 10^{- 2}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$3 \cdot 10^{- 2}$

Expanded Form:

$0.03$