Basic Math Examples

\frac{(3.5) \cdot 10^{- 5}}{(7) \cdot 10^{- 2}}

$\frac{(3.5) \cdot 10^{- 5}}{(7) \cdot 10^{- 2}}$

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{3.5}{7}) (\frac{10^{- 5}}{10^{- 2}})

$(\frac{3.5}{7}) (\frac{10^{- 5}}{10^{- 2}})$

Step 1.2

Divide

3.5

$3.5$ by

7

$7$ .

0.5 \frac{10^{- 5}}{10^{- 2}}

$0.5 \frac{10^{- 5}}{10^{- 2}}$

Step 1.3

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

0.5 \cdot 10^{- 5 - 2 \cdot - 1}

$0.5 \cdot 10^{- 5 - 2 \cdot - 1}$

Step 1.4

Multiply

- 2

$- 2$ by

- 1

$- 1$ .

0.5 \cdot 10^{- 5 + 2}

$0.5 \cdot 10^{- 5 + 2}$

Step 1.5

Add

- 5

$- 5$ and

2

$2$ .

0.5 \cdot 10^{- 3}

$0.5 \cdot 10^{- 3}$

0.5 \cdot 10^{- 3}

$0.5 \cdot 10^{- 3}$

Step 2

Move the decimal point in

0.5

$0.5$ to the right by

1

$1$ place and decrease the power of

10^{- 3}

$10^{- 3}$ by

1

$1$ .

5 \cdot 10^{- 4}

$5 \cdot 10^{- 4}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

5 \cdot 10^{- 4}

$5 \cdot 10^{- 4}$

Expanded Form:

0.0005

$0.0005$