Question

multiple choice 10 points
carry out the following calculation and report the answer using the proper number of significant figures: 8.32×10^(-4)/2.695×10^12
2.242×10^10
-1.48×10^4
2.24×10^9
3.09×10^(-16)
correct answer not provided
3.09×10^8
3.705×10^(-1)
clear my selection
multiple choice 10 points
a stockroom has 4.3 liters of a solution in inventory. convert this to kl
430 kl
0.00430 kl
0.0043 kl
4300 kl
0.043 kl
clear my selection

Explanation:

Step1: Calculate the division of numbers in scientific - notation

When dividing numbers in scientific notation $\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$. Here, $a = 8.32$, $b=2.695$, $m=-4$, and $n = 12$. First, calculate $\frac{8.32}{2.695}\approx3.09$. Then, calculate $10^{-4-12}=10^{-16}$. So the result is $3.09\times10^{-16}$.

Step2: Convert liters to kiloliters

We know that $1\ kL=1000\ L$ or $1\ L = 10^{-3}\ kL$. To convert $4.3\ L$ to $kL$, we multiply $4.3$ by $10^{-3}$. So $4.3\ L=4.3\times10^{-3}\ kL = 0.0043\ kL$.

Answer:

1. D. $3.09\times10^{-16}$
2. C. $0.0043\ kL$