Question

a sample containing $3 \times 10^{12}$ drops of water is collected by researchers who are examining water quality. in order to run a variety of tests, the water is divided evenly into containers containing $5 \times 10^{11}$ drops in each. how many containers are used?\
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a. 6 containers\
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b. 16 containers\
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c. 60 containers\
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d. 166 containers

Explanation:

Step1: Set up division formula

Number of containers = $\frac{\text{Total drops}}{\text{Drops per container}} = \frac{3\times10^{12}}{5\times10^{11}}$

Step2: Split and simplify the terms

$\frac{3}{5} \times \frac{10^{12}}{10^{11}} = 0.6 \times 10^{1} = 6$

Answer:

A. 6 containers