Question

student mini-quiz
name charlie jennings
1 how many ml are in the graduated cylinder? ______
2 67,000 cm = ______ km
3 67.67 g = ______ mg
4 how can you measure mass?
a. beaker
b. ruler
c. digital scale
d. balance beam
5 which unit of measurement is not able to measure the thickness of your fingernail?
a. mm
b. cm
c. inches
d. g

Explanation:

Question [2]

Step1: Recall unit conversion factor

We know that \(1\space km = 1000\space m\) and \(1\space m=100\space cm\), so \(1\space km = 1000\times100\space cm= 10^{5}\space cm\) or \(\frac{1\space km}{10^{5}\space cm}=1\)

Step2: Convert \(67000\space cm\) to \(km\)

To convert \(67000\space cm\) to \(km\), we multiply by the conversion factor \(\frac{1\space km}{10^{5}\space cm}\)
\(67000\space cm\times\frac{1\space km}{10^{5}\space cm}=\frac{67000}{10^{5}}\space km = 0.67\space km\)

Step1: Recall unit conversion factor

We know that \(1\space g=1000\space mg\) or \(\frac{1000\space mg}{1\space g} = 1\)

Step2: Convert \(67.67\space g\) to \(mg\)

To convert \(67.67\space g\) to \(mg\), we multiply by the conversion factor \(\frac{1000\space mg}{1\space g}\)
\(67.67\space g\times\frac{1000\space mg}{1\space g}=67.67\times 1000\space mg = 67670\space mg\)

To measure mass, we use instruments designed for mass measurement. A beaker is for holding liquids, a ruler is for measuring length, a digital scale and a balance beam are used to measure mass. Among the options, a ruler (option b) is used for length, not mass. But the question is "How can you measure mass?". The correct instruments are digital scale (option c) and balance beam (option d). If we have to choose from the given options for measuring mass, digital scale (c) and balance beam (d) are correct. But if we consider the options, the most appropriate are c (digital scale) and d (balance beam). But if we have to pick one, digital scale (c) or balance beam (d). But typically, digital scale is a common mass - measuring instrument.

Answer:

\(0.67\)

Question [3]