Basic Math Examples

$\frac{- 1.2 \cdot 10^{- 5}}{- 4 \cdot 10^{- 3}}$

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.

$(\frac{- 1.2}{- 4}) (\frac{10^{- 5}}{10^{- 3}})$

Step 1.2

Divide $- 1.2$ by $- 4$ .

$0.3 \frac{10^{- 5}}{10^{- 3}}$

Step 1.3

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

$0.3 \cdot 10^{- 5 - 3 \cdot - 1}$

Step 1.4

Multiply $- 3$ by $- 1$ .

$0.3 \cdot 10^{- 5 + 3}$

Step 1.5

Add $- 5$ and $3$ .

$0.3 \cdot 10^{- 2}$

Step 2

Move the decimal point in $0.3$ to the right by $1$ place and decrease the power of $10^{- 2}$ by $1$ .

$3 \cdot 10^{- 3}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$3 \cdot 10^{- 3}$

Expanded Form:

$0.003$