Q: Which of the following is an exact number?

The number of centimeters in an inch ($1 \text{ in.} = 2.54 \text{ cm}$)

Q: Which of the following conversion factors is exact?

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

Q: When converting $25.0$ cm$^3$ to in$^3$ using $1 \text{ in.} = 2.54 \text{ cm}$, which conversion factor should be used?

$\left( \frac{1 \text{ in.}}{2.54 \text{ cm}} \right)^3$

Question 1

Which of the following numbers is correctly expressed in scientific notation?

Accepted Answer

$4.5 	imes 10^1$

Question 2

A student measures the mass of a sample as 0.00450 g. How many significant figures does this measurement have?

Accepted Answer

3

Question 3

Which of the following is an exact number?

Accepted Answer

The number of centimeters in an inch ($1 	ext{ in.} = 2.54 	ext{ cm}$)

Question 4

Which of the following statements about significant figures is correct?

Accepted Answer

Trailing zeros after a decimal point are significant.

Question 5

A student adds $12.11$ g, $0.034$ g, and $1.2$ g. What is the correct sum, rounded according to the rules for significant figures?

Accepted Answer

$13.3$ g

Question 6

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

Accepted Answer

kilogram (kg)

Question 7

Convert $0.00345$ to scientific notation.

Accepted Answer

$3.45 	imes 10^{-3}$

Question 8

A block of titanium has a mass of $90.0$ g and a volume of $20.0$ cm$^3$. What is its density?

Accepted Answer

$4.50$ g/cm$^3$

Question 9

Which of the following conversion factors is exact?

Accepted Answer

$1 	ext{ in.} = 2.54 	ext{ cm}$

Question 10

A sample of ethanol has a mass of $15.8$ g and a density of $0.789$ g/mL. What is its volume, rounded to the correct number of significant figures?

Accepted Answer

$12.5$ mL

Question 11

Which prefix multiplier represents one millionth ($0.000001$)?

Accepted Answer

micro-

Question 12

A cube has sides of length $2.54$ cm. What is its volume in cubic inches? ($1 	ext{ in.} = 2.54 	ext{ cm}$)

Accepted Answer

$1.00$ in$^3$

Question 13

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

Accepted Answer

Mass is a measure of matter, weight is a measure of gravitational pull.

Question 14

A student multiplies $2.02 	imes 89.665 	imes 0.10$. According to the rules for significant figures, how many significant figures should the final answer have?

Accepted Answer

2

Question 15

Which of the following is a derived SI unit?

Accepted Answer

cubic meter (m$^3$)

Question 16

A solution map is most useful for which type of problem?

Accepted Answer

Unit conversion problems

Question 17

A student needs to measure $68.4$ g of a liquid with a density of $1.32$ g/mL. What volume should be measured?

Accepted Answer

$51.8$ mL

Question 18

Which of the following numbers is ambiguous in terms of significant figures and should be avoided in scientific reporting?

Accepted Answer

$3500$

Question 19

When converting $25.0$ cm$^3$ to in$^3$ using $1 	ext{ in.} = 2.54 	ext{ cm}$, which conversion factor should be used?

Accepted Answer

$\left( \frac{1 	ext{ in.}}{2.54 	ext{ cm}} ight)^3$

Question 20

A student performs the calculation $3.489 	imes (5.67 - 2.3)$. According to the rules for significant figures, what is the correct final answer?

Accepted Answer

$12$

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

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