Algebra Examples

$\frac{9.9 \cdot 5 \cdot 10^{4}}{250 \cdot 0.022}$

Step 1

Multiply $9.9$ by $5$ .

$\frac{49.5 \cdot 10^{4}}{250 \cdot 0.022}$

Step 2

Move the decimal point in $49.5$ to the left by $1$ place and increase the power of $10^{4}$ by $1$ .

$\frac{4.95 \cdot 10^{5}}{250 \cdot 0.022}$

Step 3

Multiply $250$ by $0.022$ .

$\frac{4.95 \cdot 10^{5}}{5.5}$

Step 4

Divide using scientific notation.

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Step 4.1

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

$(\frac{4.95}{5.5}) (\frac{10^{5}}{1})$

Step 4.2

Divide $4.95$ by $5.5$ .

$0.9 \frac{10^{5}}{1}$

Step 4.3

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

$0.9 \cdot 10^{5}$

Step 5

Move the decimal point in $0.9$ to the right by $1$ place and decrease the power of $10^{5}$ by $1$ .

$9 \cdot 10^{4}$