Question

divide the leading factors, 450 ÷ 15. neptunes distance to the sun \over earths distance to the sun = 4.5·10⁹ \over 15·10⁷ = 450·10⁷ \over 15·10⁷ = 450 \over 15 · 10⁷ \over 10⁷ = \boxed{?}

Explanation:

Step1: Simplify the fraction

We have the fraction $\frac{450}{15}$. To simplify this, we divide 450 by 15.

Step2: Perform the division

$450 \div 15 = 30$. Also, for the powers of 10, $\frac{10^9}{10^7}=10^{9 - 7}=10^2 = 100$, but in the given step where we have $\frac{450}{15}\cdot\frac{10^9}{10^7}$, first simplifying $\frac{450}{15}$ gives 30, and then we would multiply by 100 later, but for the boxed part (the result of $\frac{450}{15}$), it is 30.

Answer:

30