which is the best estimate for $\frac{(8.9\ti...
which is the best estimate for $\frac{(8.9\times10^{8})}{(3.3\times10^{4})}$ written in scientific notation?\n$3\times10^{2}$\n$6\times10^{2}$\n$3\times10^{4}$\n$6\times10^{4}$
Answer
# Explanation:
## Step1: Divide the coefficients
Divide 8.9 by 3.3. Since 8.9≈9 and 3.3≈3, then $\frac{8.9}{3.3}\approx\frac{9}{3}=3$.
## Step2: Divide the powers of 10
Use the rule $\frac{a^m}{a^n}=a^{m - n}$. Here, $a = 10$, $m = 8$ and $n = 4$, so $\frac{10^{8}}{10^{4}}=10^{8 - 4}=10^{4}$.
## Step3: Combine the results
The result of $\frac{8.9\times10^{8}}{3.3\times10^{4}}$ is approximately $3\times10^{4}$.
# Answer:
C. $3\times10^{4}$