Pre-Algebra Examples

$(9 \cdot 10^{- 3}) + 2.4 \cdot 10^{- 5} \div 0.0012$

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.

$9 \cdot 10^{- 3} + (\frac{2.4}{0.0012}) (\frac{10^{- 5}}{1})$

Step 1.2

Divide $2.4$ by $0.0012$ .

$9 \cdot 10^{- 3} + 2000 \frac{10^{- 5}}{1}$

Step 1.3

Divide $10^{- 5}$ by $1$ .

$9 \cdot 10^{- 3} + 2000 \cdot 10^{- 5}$

Step 2

Move the decimal point in $2000$ to the left by $2$ places and increase the power of $10^{- 5}$ by $2$ .

$9 \cdot 10^{- 3} + 20 \cdot 10^{- 3}$

Step 3

Factor $10^{- 3}$ out of $9 \cdot 10^{- 3} + 20 \cdot 10^{- 3}$ .

$(9 + 20) \cdot 10^{- 3}$

Step 4

Add $9$ and $20$ .

$29 \cdot 10^{- 3}$

Step 5

Move the decimal point in $29$ to the left by $1$ place and increase the power of $10^{- 3}$ by $1$ .

$2.9 \cdot 10^{- 2}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$2.9 \cdot 10^{- 2}$

Expanded Form:

$0.029$