Pre-Algebra Examples

$\frac{15 \cdot 10^{5}}{3 \cdot 10^{3}}$

Step 1

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

$(\frac{15}{3}) (\frac{10^{5}}{10^{3}})$

Step 2

Divide $15$ by $3$ .

$5 \frac{10^{5}}{10^{3}}$

Step 3

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

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

Step 4

Multiply $3$ by $- 1$ .

$5 \cdot 10^{5 - 3}$

Step 5

Subtract $3$ from $5$ .

$5 \cdot 10^{2}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$5 \cdot 10^{2}$

Expanded Form:

$500$