Q: Which of the following is the correct solution map for converting $5.0\ \mathrm{ft}$ to centimeters?

$5.0\ \mathrm{ft} \times \frac{12\ \mathrm{in.}}{1\ \mathrm{ft}} \times \frac{2.54\ \mathrm{cm}}{1\ \mathrm{in.}}$

Question 1

A scientist reports a temperature increase of $0.6 \pm 0.1\ ^\circ\mathrm{C}$ over the last century. What does the $\pm 0.1$ indicate?

Accepted Answer

The measurement is uncertain by $0.1\ ^\circ\mathrm{C}$, so the true value could be between $0.5$ and $0.7\ ^\circ\mathrm{C}$.

Question 2

Which of the following numbers has three significant figures?

Accepted Answer

$0.00450$

Question 3

Convert $0.00056$ to scientific notation.

Accepted Answer

$5.6 	imes 10^{-5}$

Question 4

Which of the following is an exact number?

Accepted Answer

The number of eggs in a dozen

Question 5

A student multiplies $2.34$ (three significant figures) by $0.056$ (two significant figures). How many significant figures should the final answer have?

Accepted Answer

Two

Question 6

Which rule should be used to determine the number of significant figures in the result of $12.345 + 6.7$?

Accepted Answer

The result should have the same number of decimal places as the number with the fewest decimal places.

Question 7

A titanium bicycle frame has a mass of $1.80\ \mathrm{kg}$ and a volume of $400\ \mathrm{cm}^3$. What is its density?

Accepted Answer

$4.50\ \mathrm{g/cm}^3$

Question 8

Which SI base unit is used to measure temperature?

Accepted Answer

Kelvin ($\mathrm{K}$)

Question 9

A sample of ethanol has a mass of $15.0\ \mathrm{g}$. If the density of ethanol is $0.789\ \mathrm{g/mL}$, what is the volume of the sample?

Accepted Answer

$19.0\ \mathrm{mL}$

Question 10

Which of the following conversion factors is correct for converting inches to centimeters?

Accepted Answer

$1\ \mathrm{in.} = 2.54\ \mathrm{cm}$

Question 11

A chemist measures $0.250\ \mathrm{L}$ of a liquid. How many milliliters is this?

Accepted Answer

$250\ \mathrm{mL}$

Question 12

Which prefix multiplier represents one billionth ($0.000000001$)?

Accepted Answer

nano ($10^{-9}$)

Question 13

A block of aluminum has a density of $2.70\ \mathrm{g/cm}^3$ and a volume of $150.0\ \mathrm{cm}^3$. What is its mass?

Accepted Answer

$405\ \mathrm{g}$

Question 14

Which of the following statements about mass and weight is correct?

Accepted Answer

Weight is a measure of gravitational pull, while mass is the amount of matter.

Question 15

A measurement is recorded as $45.872\ \mathrm{g}$. Which digit is estimated?

Accepted Answer

2

Question 16

Which of the following is the correct solution map for converting $5.0\ \mathrm{ft}$ to centimeters?

Accepted Answer

$5.0\ \mathrm{ft} 	imes \frac{12\ \mathrm{in.}}{1\ \mathrm{ft}} 	imes \frac{2.54\ \mathrm{cm}}{1\ \mathrm{in.}}$

Question 17

A cube has sides of $2.00\ \mathrm{cm}$. What is its volume in $\mathrm{cm}^3$?

Accepted Answer

$8.00\ \mathrm{cm}^3$

Question 18

NASA lost a $125$ million Mars orbiter because two groups of engineers failed to communicate about:

Accepted Answer

The units used in their calculations

Question 19

If a chemical bond measures $1.2 	imes 10^{-10}\ \mathrm{m}$, which prefix multiplier is most convenient?

Accepted Answer

Picometer ($10^{-12}$)

Measurement and Problem Solving in Chemistry: Scientific Notation, Significant Figures, and Unit Conversions

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