Trigonometry Examples

$a \cdot 10 = 3.3 (10^{9})$

Step 1

Divide each term in $a \cdot 10 = 3.3 \cdot 10^{9}$ by $10$ .

$\frac{a \cdot 10}{10} = \frac{3.3 \cdot 10^{9}}{10}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $10$ .

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Step 2.1.1

Cancel the common factor.

$\frac{a \cdot 10}{10} = \frac{3.3 \cdot 10^{9}}{10}$

Step 2.1.2

Divide $a$ by $1$ .

$a = \frac{3.3 \cdot 10^{9}}{10}$

Step 3

Simplify the right side.

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Step 3.1

Divide using scientific notation.

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Step 3.1.1

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

$a = (\frac{3.3}{10}) (\frac{10^{9}}{1})$

Step 3.1.2

Divide $3.3$ by $10$ .

$a = 0.33 \frac{10^{9}}{1}$

Step 3.1.3

Divide $10^{9}$ by $1$ .

$a = 0.33 \cdot 10^{9}$

Step 3.2

Move the decimal point in $0.33$ to the right by $1$ place and decrease the power of $10^{9}$ by $1$ .

$a = 3.3 \cdot 10^{8}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$a = 3.3 \cdot 10^{8}$

Expanded Form:

$a = 330000000$