Question

about how many times as great is 1.7 × 10^6 than 3.5 × 10^5?

Explanation:

Step1: Set up the division

We divide $1.7\times10^{6}$ by $3.5\times10^{5}$, so the expression is $\frac{1.7\times10^{6}}{3.5\times10^{5}}$.

Step2: Use the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$

We can rewrite the above - expression as $\frac{1.7}{3.5}\times10^{6 - 5}$.

Step3: Calculate the coefficient and the power of 10

First, $\frac{1.7}{3.5}\approx0.486$, and $10^{6 - 5}=10^{1}=10$. Then $0.486\times10 = 4.86\approx5$.

Answer:

About 5 times.