Algebra Examples

$\frac{3.8 \cdot 10^{9}}{4 \cdot 10^{2}}$

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.

$(\frac{3.8}{4}) (\frac{10^{9}}{10^{2}})$

Step 1.2

Divide $3.8$ by $4$ .

$0.95 \frac{10^{9}}{10^{2}}$

Step 1.3

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

$0.95 \cdot 10^{9 + 2 \cdot - 1}$

Step 1.4

Multiply $2$ by $- 1$ .

$0.95 \cdot 10^{9 - 2}$

Step 1.5

Subtract $2$ from $9$ .

$0.95 \cdot 10^{7}$

Step 2

Move the decimal point in $0.95$ to the right by $1$ place and decrease the power of $10^{7}$ by $1$ .

$9.5 \cdot 10^{6}$