Question

$8 \times 10^5$ is how many times as great as $8 \times 10^{-1}$?
$10^6$
$10^{-6}$
$10^4$
$10^{-4}$

Explanation:

Step1: Set up the division

To find how many times $8 \times 10^{5}$ is as great as $8 \times 10^{-1}$, we divide the first number by the second: $\frac{8 \times 10^{5}}{8 \times 10^{-1}}$.

Step2: Simplify the coefficients and exponents

The 8s cancel out: $\frac{8}{8}=1$. For the exponents, use the rule $\frac{10^{a}}{10^{b}} = 10^{a - b}$. So $10^{5-(-1)}=10^{5 + 1}=10^{6}$.

Answer:

$10^{6}$ (corresponding to the option with $10^{6}$)