Integer Exponents and Scientific Notation: example 10.79

Divide. Write answers in decimal form: $\frac{9 \times 10^{3}}{3 \times 10^{−2}} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Divide. Write answers in decimal form: $\frac{8 \times 10^{4}}{2 \times 10^{−1}} .$

How did it go?

	$\frac{9 \times 10^{3}}{3 \times 10^{−2}}$
Separate the factors.	$\frac{9}{3} \times \frac{10^{3}}{10^{−2}}$
Divide 9 by 3 and use the Quotient Property to divide $10^{3}$ by $10^{−2}$ .	$3 \times 10^{5}$
Change to decimal form by moving the decimal five places right.	$300,000$

	$\frac{9 \times 10^{3}}{3 \times 10^{−2}}$
Separate the factors.	$\frac{9}{3} \times \frac{10^{3}}{10^{−2}}$
Divide 9 by 3 and use the Quotient Property to divide $10^{3}$ by $10^{−2}$ .	$3 \times 10^{5}$
Change to decimal form by moving the decimal five places right.	$300,000$