Q: Which of the following is the correct conversion factor to convert centimeters to inches?

$$\frac{1\ \text{in.}}{2.54\ \text{cm}}$$

Q: A student wants to convert 194 cm to feet. Which sequence of conversion factors should they use?

$$\frac{1\ \text{in.}}{2.54\ \text{cm}}$$ then $$\frac{1\ \text{ft}}{12\ \text{in.}}$$

Q: When converting $$\text{cm}^3 to$$ $$\text{mL}$$, what is the correct conversion factor?

$$1\ \text{mL} = 1\ \text{cm}^3$$

Q: A solution map for converting grams to milliliters for a substance with density $$1.32\ \text{g/cm}^3 is $$shown. What is the first conversion factor you should use?

$$\frac{1\ \text{cm}^3}{1.32\ \text{g}}$$

Question 1

When adding 5.74, 0.823, and 2.651, what is the correct way to determine the number of decimal places in the final answer?

Accepted Answer

Match the number of decimal places to the number with the fewest decimal places in the calculation.

Question 2

Given the subtraction $$4.8 - 3.965$$, what is the correct answer when rounded according to significant figure rules for addition/subtraction?

Accepted Answer

$$0.8$$

Question 3

Which of the following is the correct conversion factor to convert centimeters to inches?

Accepted Answer

$$\frac{1\ 	ext{in.}}{2.54\ 	ext{cm}}$$

Question 4

A student wants to convert 194 cm to feet. Which sequence of conversion factors should they use?

Accepted Answer

$$\frac{1\ 	ext{in.}}{2.54\ 	ext{cm}}$$ then $$\frac{1\ 	ext{ft}}{12\ 	ext{in.}}$$

Question 5

Which of the following is a derived unit for volume?

Accepted Answer

$$	ext{cm}^3$$

Question 6

If a liquid has a mass of 27.2 g and a volume of 22.5 mL, what is its density?

Accepted Answer

$$1.21\ 	ext{g/mL}$$

Question 7

Which SI prefix represents $$10^{-6}$$?

Accepted Answer

micro-

Question 8

Which of the following best describes the difference between mass and weight?

Accepted Answer

Mass is the amount of matter in an object; weight is the gravitational pull on that matter.

Question 9

A sample has a density of $$1.32\ 	ext{g/cm}^3. $$What volume in mL would have a mass of 10.0 g?

Accepted Answer

$$7.58\ 	ext{mL}$$

Question 10

When converting $$	ext{cm}^3 to$$ $$	ext{mL}$$, what is the correct conversion factor?

Accepted Answer

$$1\ 	ext{mL} = 1\ 	ext{cm}^3$$

Question 11

Which of the following is the correct way to round 2.376 to two significant figures?

Accepted Answer

$$2.4$$

Question 12

A car travels 60.0 miles per hour. Convert this speed to kilometers per hour using $$1\ 	ext{mile} = 1.609\ 	ext{km}.$$

Accepted Answer

$$96.5\ 	ext{km/h}$$

Question 13

Which of the following is the correct SI base unit for temperature?

Accepted Answer

kelvin

Question 14

If you multiply 3.21 (3 sig figs) by 0.14 (2 sig figs), how many significant figures should your answer have?

Accepted Answer

2

Question 15

Which of the following is the most appropriate SI prefix to use for the diameter of a human hair (about 0.00008 m)?

Accepted Answer

micrometer

Question 16

A solution map for converting grams to milliliters for a substance with density $$1.32\ 	ext{g/cm}^3 is $$shown. What is the first conversion factor you should use?

Accepted Answer

$$\frac{1\ 	ext{cm}^3}{1.32\ 	ext{g}}$$

Question 17

Which of the following is the correct way to handle significant figures in a multi-step calculation?

Accepted Answer

Do not round intermediate results; round only the final answer.

Question 18

Which of the following is the correct SI prefix for $$10^{12}$$?

Accepted Answer

tera-

Question 19

A sample of a substance has a mass of 68.4 g and a density of $$1.32\ 	ext{g/mL}. $$What volume in mL should be measured to obtain this mass?

Accepted Answer

$$51.8\ 	ext{mL}$$

Measurement and Problem Solving: Significant Figures, SI Units, and Dimensional Analysis

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