Basic Math Examples

$\frac{1}{2} \cdot 3 \cdot 10^{- 6} \cdot 240^{2}$

Step 1

Multiply $\frac{1}{2} \cdot 3 \cdot 10^{- 6}$ .

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Step 1.1

Combine $3$ and $\frac{1}{2}$ .

$\frac{3}{2} \cdot 10^{- 6} \cdot 240^{2}$

Step 1.2

Combine $\frac{3}{2}$ and $10^{- 6}$ .

$\frac{3 \cdot 10^{- 6}}{2} \cdot 240^{2}$

Step 2

Divide using scientific notation.

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Step 2.1

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

$(\frac{3}{2}) (\frac{10^{- 6}}{1}) \cdot 240^{2}$

Step 2.2

Divide $3$ by $2$ .

$1.5 \frac{10^{- 6}}{1} \cdot 240^{2}$

Step 2.3

Divide $10^{- 6}$ by $1$ .

$1.5 \cdot 10^{- 6} \cdot 240^{2}$

Step 3

Raise $240$ to the power of $2$ .

$1.5 \cdot 10^{- 6} \cdot 57600$

Step 4

Multiply $1.5$ by $57600$ .

$86400 \cdot 10^{- 6}$

Step 5

Move the decimal point in $86400$ to the left by $4$ places and increase the power of $10^{- 6}$ by $4$ .

$8.64 \cdot 10^{- 2}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$8.64 \cdot 10^{- 2}$

Expanded Form:

$0.0864$