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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